JMSS CLASS XI WORK SHEET POL SCI · JMSS WORK SHEET CLASS 11Th BIOLOGY DEC 2019 Q1-Why are the...

JMSS CLASS XI WORK SHEET POL SCIQ.1Whatdo you mean by ‘secular’?Q.2What is ‘secularism’?Q.3What do you mean by ‘Dharma’?Q.4What are main the dimensions of secularism?Q.5Mention religions-based discriminations from Europe and Israel?Q.6Mention the conditions of religious minorities in India’s two neighbouring states of Pakistan and Bangladesh?Q.7Define peace.Q.8What is non-alignment?Q.9Why do terrorist create terror?Q.10What is Naxalite terrorism?Q.11What is armed race?Q.12Mention some characteristics of secularism?Q.13Give three most stark examples from India to prove that in reality several forms of exclusion and discrimination continues to persist even in a declared secular state of India?Q.14Critically examine the Indian secularism?Q.15”The war is justified to some extent”. Justify the statement.Q.16Why is disarmament necessary? Explain.Q.17Mention the efforts of India in maintain peace in the sub-continent during clashes with Pakistan.Q.18Why India has not signed Non-Proliferation Treaty (NPT) and Comprehensive Test Ban Treaty (CTBT)?Q.19What is globalisation? And how did India respond to it?Q.20When was the UNO founded and what were its main objectives?Q.21Are the Human rights, Disarmament and New International Economics Order interrelated?Q.22Write a note on Constituent Assembly.Q.23What are the elements to make India a secular state and suggestions to strengthen secularism in India?Q.24Mention the constitutional provisions in India to promote secularism.Q.25List the names of few Nobel Peace Prize winners and write a note on any one of them.Q.26Mention different types of structural violence?Q.27How India has implemented the Human Rights?Q.28What is the role of the UNO in maintaining world peace?Q.29Mention the sources of Indian Constitution alongwith the feature taken from these sources. Q.30Throw some light on the relationship between the Fundamental Rights and Directive Principles of State Policy.Q.31What is the composition of Election Commission of India?Q.32Describe the powers and functions of the President of India.Q.33’Rajya Sabha is less powerful than Lok Sabha’. Justify the statement.Q.34Explain the composition and jurisdiction of the subordinate courts at the district level in India.……………………………………………………x…………………………………………..x………………………………………………

JMSS WORK SHEET CLASS 11Th BIOLOGY DEC 2019

Q1- Why are the classification system changing every now and then?Q2- Define:- (a)metabolism (b)taxon (c)genus?Q3- Describe different types of archebacteria?Q4- Define: (a) lichen (b) prions?Q5- What do you mean by alternation of generation?Q6- Describe various types of life cycle patterns in plant?Q7- Define (a)metamerism (b)symmetry (c)coelom ?Q8- How class reptilia differ from class pisces?Q9- Write difference between amphibians and aves?Q10-Describe characteristic features of phylum chordate ?Q11-Define the term (a)aestivation (b)placentation (c)actinomorphic (d)zygomorphic (e)superior ovary?Q12-Describe the various types of placentation found in flowering plants?Q13-Describe main features of pteridophyta and gymnosperms ?Q14-How do various leaf modifications help plants ?Q15-Describe various types of vascular bundles found in plants ?Q16-State the location and function of different types of meristems?Q17-Describe the internal structureof a dorsiventral leaf with the help of diagram?Q18-Define secondary growth?How it occurs?Q19-Differentiate between monocot and dicot stem with the help of diagram?Q20-Differentiate between:- (a)Exarch & Endarch conditions of the protoxylem (b)Closed & Open vascular bundle (c) Heart wood & Sap wood (d)Metaxylem & protoxylemQ21-What is annual ring?Explain its formation?Q22-Multicellular organism have division of labour.Explain?Q23-What is a centromere?How does the position of centromere form the basis of classification of

chromosomes?Q24-What is meant by cell differentiation?Q25-Describe the fluid mosaic model of plasma membrane?Q26-Differentiate between the followings:- (a)Diffusion and osmosis (b)Apoplast and symplast pathways (c)Guttation and transpiration?Q27-What causes the opening and closing of guard cells of stomata during transpiration?Q28-What is wilting?What makes plant wilt?Q29-Define active and passive absorption?Q30-RuBisCO is an enzyme that acts both as a carboxylase and oxygenase.Why do you think RuBisCO

carries out more carboxylation in c4 plants?Q31-Define:- (a)Arithmetic growth (b)Geometric growth (c)Differentiation (d)Dedifferentiation?Q32- What is seed dormancy?How does it differ from Quiescene?Q33-Define parthenocarpy? Name the plant hormone used to induce parthenocarpy?Q34-Explain the role of following plant hormones:- (a)Cytokinins (b)Gibberellins (c)Abscisic acid (d)Auxins ?

Q35-What do you understand by emulsification of fats?Q36-Explain the mechanism of digestion of proteins in human digestive system?Q37-How haemoglobin help in the transport of oxygen from lung to tissue?Q38-Explain the mechanism of respiration and expiration?Q39-Define double circulation and explain its pathways?Q40-What is ECG?Write its significance?Q41-Define the term:- (a)SA Node (b)Systole (c)Diastole (d)AV Node ?Q42-What is tidal volume?Find out the tidal volume for a healthy human in an hour?Q43-Define cardiac cycle and the cardiac output?Q44-What is the significance of artrio-ventricular node and atrio-ventricular bundle in the functioning

of heart?Q45-Explain mitosis?Write its significance?Q46-Distinguish cytokinesis from karyokinesis?Q47-Write importance of meiotic division?Why it is known as reduction division?Q48-How does cytokinesis in plant cells differ from that in animal cells?Q49-Describe various types of epithelial tissues with the help of labeled diagrams?Q50-What is endosperm?How its formation takes place?What are its significance?Q51-What is a flower?Describe the parts of atypical angiosperm flower?Q52-Explain the structure of nephron with the help of a diagram?Q53-Define GFR?Q54-What is meant by the term osmoregulation?Q55-Explain the process of urine formation in humans?Q56-Differentiate between:- (a)actin and myosin (b)red and white muscles (c)pectoral and pelvic girdle?Q57-Explain in brief the counter current mechanism in kidney?Q58-Differentiate between :- (a)rods and cones (b)Dendrites and axons (c)cerebrum and cerebellum?Q59-What are endocrine glands?How they are differ from exocrine glands?Q60- Explain the role of following endocrine glands:- (a) Thymus gland (b)thyroid gland (c)adrenal gland

(d)pancreas ?

JMSS WORKSHEET XI BUSINESS STUDIES

1. "Business Risk can be minimised but can't be eliminated." Which aspect/feature of Business risk is depicted by this statement? 2. ABC Ltd. Issued Rs. 10,00,000 shares for Public subscription, but got application for Rs. 5,00,000 share. Can ABC Ltd. allot shares to their applicants? Give reason. 3. The characteristics of these companies are huge size, large number of products, advanced technology, marketing strategies and network of operations all over the World. There enterprises operate in several areas and produce multiple products. Which business enterprises are discussed above? 4. How life insurance differ from other types of insurances? State. 5. What is a Global Depository Receipt? 6. Give full form of NABARD. 7. Who is playing a catalytic role in strengthening internal trade to make it an important part of overall economic activity? 8. Shaukat Ali wants to import western clothes from Thailand. What first step should be take with regard to it? 9. Differentiate between the following activities into business, profession and Employment: a. Mohan is selling books on behalf of his employer. b. Tania is practising law or doing legal practice. c. A cart vendor is selling vegetable in different localities. 10. Give the full form of RTGS. Write any two features of RTGS. 11. State three utility of Departmental undertaking. 12. "The meaning of e-business is to be completed by all Industrial and Commercial Activities." Give three examples of each of there activities. 13. 'Mahindra and Mahindra' was the first company in India its issue convertible debentures in 1990. Now many more companies have the approval to issue convertible debentures to raise long term debt capital. State and explain reasons/advantages of issuing such debentures. 14. Identify the type of retailer in the following: i. Shyam sell vegetables on his cart from place to place. ii. Rani sell school uniforms only in her shop. iii. Rehman sell stationary items near railway station. 15. This document contains rules regarding internal management of a company while the other document defines the objectives of the company. Quoting the lines from above, identify the two documents of a Company discussed above and give any two difference between them other than give above. 16. What is PPF? Write any three feature of PPF. 17. 'Infosys' is one of India's leading software development company that has its business in many countries. What type of business/trade is it doing? What benefits is it generating for the nation? Write any three points. 18. 'Reva Chemicals' is a partnership firm. Sona and Mona one two partners in this firm. It is recorded in the Partnership Deed that Sona's liability is unlimited, whereas Mona's is limited.

Sona wants to set up the Anti-Pollution plant in his factory, but Mona does not let him do so. Almost all the transactions of this firm are done through the internet. The firm sells its goods to other Business units only. The firm gets its Research and Development work done by another firm, who is a specialist of such work. i. Describe the type of partnership.ii. Identify the two values being overlooked.iii. Name the type-business being done by the firm. 19. What is the difference between ownership capital and borrowed Capital? 20. "Auxiliaries to Trade refer to all those activities which are undertaken to overcome the hurdles appearing in the way of Trade". Identify and briefly explain the activities to overcome following hindrances of trade: a. Hindrance of Place b. Hindrance of Time c. Hindrance of Risk d. Hindrance of Finance e. Hindrance of Information. 21. What is the meaning of Outsourcing of Service? Explain the types of outsourcing of services. 22. Describe the role of Small business in rural India. 23. An International Organisation came into existence on 1st January 1995. It has been there since, to carry out certain functions. What is this type of organisations? State any four of it functions to emphasise its role. 24. Ravi, Pradeep, Satyender and Dharmender are partners in a partnership firm. Ravi and Satyender take active part in the operation of business whereas Pradeep has contributed in Capital but do not take part in day to day activities of the business. Dharmender is a nominal partner. All four make partnership for a specified time period and also make written agreement to govern the partnership but they does not get the firm registered. a. What is meant by nominal partner? b. Which type of partnership is there between the partners in above? c. What is written agreement between the partners called? d. What type of partners Pradeep and Ravi are? e. Give two merits of getting firm registered. 25. Write the name of enterprise which is set up as a consequence of partnership between companies. Also point out why do these companies enter into such partnership? 26. Define ICDs. Give types and state its features. 27. What is the role of NGO for any nation? How it helps to general public.28. What do you mean by GST. How it helps to national development. 29. Ratna orders a blanket based on an advertisement given in a newspaper specifying the features, price, and delivery terms. It specified that the terms of payment will be VPP only. The product turned out to be of good quality. 1. Identify these types of retail business. 2. Explain any two advantages and two limitations of the business. 3. What values were presented by the company which provided the product to Ratna?

JMSS WORKSHEET ACCOUNTANCY XI DEC

Part-AFill in the blanks with appropriate words:

1. Purchases Book records only __________ purchase of goods. 2. Income tax paid for the proprietor is debited to _______________Account.3. If the Owner’s Capital is Rs. 2,40,000 and other Liabilities are Rs. 1,20,000, Cash in Hand is Rs. 60,000, total assets of the firm will be _________________.4. Amount owed to an outsider is _______________.5. An example of Deferred Revenue Expenditure is ______________________

State whether the following statements are “True or False”:6. Accounting principles and policies once adopted should be followed year after year unless there is a change in law or accounting standards. It is based on Materiality Concept. 7. Cash column in the Cash Book cannot have credit balance whereas Bank column may have credit balance. 8. Purchase of an asset for cash would cause Total Liabilities to decrease. 9. Difference between Total Asset and External Liabilities is Net Worth. 10. Cash Book is an example of General Journal.

Select the correct choice to answer the following questions11. If total Assets of a business are Rs. 1,80,000 and net worth is Rs. 50,000, then outsider’s liability will be:-(a) Rs. 1,30,000 (b) Rs. 2,30,000 (c) Rs. 1,80,000(d) Rs. 50,000 12. The closing balance of the Petty Cash Book is (a) Expense/Expenditure (b) Profit/Gain (c) Asset (d) Liabilit.13. Ramesh, a customer had placed an order for purchase of furniture of Rs. 50,000 against which he advances Rs. 5,000. The businessman wants to record it as sale. By doing so, which of the following accounting concepts will be violated? (a) Money Measurement Concept (b) Revenue Recognition Concept (c) Going Concern Concept (d) Matching Concept 14. Out of these, on which of the following Asset depreciation is charged? a) Fixed Assetsb) Current Assets c) Liquid Assets d) Fictitious Assets15. Pass necessary adjustment entries for the following transactions:-a) Withdrawn goods for personal use (Cost Rs. 5,000 + IGST@18%; Sale Price Rs. 7,000)

b) Sold goods to Kiran of Delhi at the list price Rs. 20.000 less trade discount 10% add CGST and SGST @ 9% each., and allowed cash discount @5%. He paid amount immediately. c) Closing Stock amounted to Rs.20,000. 16. Calculate Gross Profit from the following information:-Closing Stock Rs.70,000 Wages Rs.40,000 Salary Rs.50,000 Sales Rs.6,80,000 Purchases Rs.4,00,000 Opening Stock Rs.50,000 Or Operating Profits earned by M/S Sharma and Sons in year 2019-20 was Rs.12,50,000. Its non-operating incomes were Rs.4,00,000 and non-operating expenses were Rs.5,00,000. If Operating Expenses were Rs. 6,00,000, find out Gross Profit and Net Profit of the firm. 17. From the following extracts of Trial Balance of Sultan, you are required to prepare the extracts of Financial Statements of firm for year ending 31st March 2019.Particulars Debit Balance (Rs.) Credit Balance (Rs.)Debtors 4,35,000Bad Debts 20,000Provision for Doubtful Debts 20,000Adjustments(a) Additional bad debts amounted to Rs.35,000.(b) Create a Provision for bad debts @10%.18. Ashu keeps incomplete records. He started business on 01 April, 2018 with Capital ofRs.40,000. His Capital balance as on 31st March,2019 was Rs.1,50,000. During theyear he had spent Rs.10,000 to buy Mobile phone for his daughter and also withdrewRs.2,500 per month for his household expenses. He also introduced additional capitalby selling his personal investments of Rs.50,000 at 20% profits and total proceedswere brought into the business. Calculate the profit or loss of his business for the yearended 31st March, 2019.19. Prepare Accounting Equation for the following transactions:-a) Started Business with Cash Rs.1,00,000 and Bank Balance Rs.2,50,000.b) Purchased Goods from Rahul for Rs.25,000 and paid him 60% immediately.c) Sold Goods costing Rs.15,000 at a profit of Rs.20,000 to Ramesh.d) Security Deposit paid to Landlord Rs.50,000 by cheque. Also paid him Rent ofRs.20,000 in Cash.20. Prepare Bank Reconciliation Statement of Reema as on 31st March, 2019 from thefollowing information.a) Balance as per Pass Book (Dr.) Rs.25,500b) Bank collected a cheque of Rs.6,000 on behalf of Seema but wrongly credited to Reema’s account.c) Cheque issued to Dhrishti of Rs.4,000 was not presented for payment till 3rd April,2019.d) Deposit column of Cash book was overcast by Rs.70.e) A cheque of Rs.5,000 received and entered in cash Book, but was omitted tobe banked.f) Cash deposited in Bank of Rs.6,000 was entered as Rs.600 by Reema’s Cashier.21. On comparing the Current account balance in the cash book of Suresh, with the BankPass Book, the following discrepancies were noted:a) Out of Rs 25,000 paid in cash, and by cheques into the bank on 31st March, 2019 cheque amounting to Rs. 6,000 were collected on 10th April, 2019.

b) Out of cheques amounting to Rs. 15,000 drawn on 26th March, 2019 cheques of Rs. 10,000 only were encashed.c) A cheque of Rs. 2,500 credited in the pass book on March 28th, 2019 was dishonoured and is debited again in the pass book on 3rd April, 2019. There was no entry in the cash book about the dishonour of the cheque until 15th April, 2019.d) As per standing instructions bank has transferred Rs.1,200 from his fixed deposit account to this current account on 27th March, 2019 but this information could be received only on 5th April, 2017.e) A cheque of Rs.12,000 drawn on his saving deposit account has been shown as drawn on current account in cash book.Prepare a bank reconciliation statement as at 31st March, 2019 if the Debit balanceas per Cash book on the same day was Rs.26,000.22. On July 1 2019, Amol draws a bill on Rekha for Rs. 10,000 payable after three monthsfor goods sold of the same amount. Amol gets the bill discounted with her bank onAugust 4, 2019 at a discount of 12% p.a. On due date the bill was dishonoured andnoting charges was paid Rs. 500. Rekha paid Rs. 2,500 in cash and requested to draw another bill on him for the balance amount for 2 months with interest @ 12% p.a. which Amol did. On due date Rekha became insolvent and his estate paid 40% as first and final instalment. Give Journal entries in the books of Amol.23. Vashisht Bros purchased two Machines from Haryana Manufacturers for Rs.2,50,000each on 1st July,2016. Installation charges and carriage on both machines amountedto Rs.1,00,000 in total. Another Machine was purchased on 31st Dec.2017 forRs.2,00,000. On 1st July,2018 one Machine, purchased on 1st July,2016, becomeobsolete and was disposed off for Rs.55,000 and Rs.5,000 was paid as commission tomiddleman. On 1st Jan, 2019, half of the Machine purchased on 31st Dec.2017 wassold off for Rs.30,000. Prepare Machinery Account for three years, if depreciation is tobe charged annually @10% p.a by S.L.M and books are closed on 31st March everyyear.24. Following are the Balances in the books of Kaushik Equipments as on 01 April, 2018.Machinery Account Rs.20,00,000. On 01 July,2018 a part of Machinery which was purchased on 01 October,2016 for Rs.4,00,000 was disposed off for Rs.1,70,000. On the same date another Machine was purchased for Rs.10,00,000. Depreciation is to be charged @10% p.a by Fixed Instalment System. Prepare Machinery Account and Accumulated Depreciation Account for the year 2018-19.

Part-BFill in the blanks with appropriate words:

25.Bill of exchange signs by ________________.26. Preparation of a trial balance helps in locating ____________________.

State whether the following statements are True or False:27. A trader bought goods of Rs. 50,000. He sold the goods for Rs. 80,000 incurringexpenses of Rs. 12,000 (including carriage outwards of Rs. 1,000). His gross profit isRs. 19,000.28. Retirement of Bill of Exchange means cancellation of bill.

Select the correct choice to answer the following questions:29. Opening Stock Rs. 1,00,000; Closing Stock Rs. 60,000; Purchases Rs. 50,000 and

Gross Profit is 10% of sales. The gross profit is:(a) Rs. 10,000(b) Rs. 12,000(c) Rs. 20,000(d) Rs. 15,00030. How many days of grace period is given payment of bill of exchange?(a) 7 (Seven)(b) 2 (Two)(c) 3 (Three)(d) 4 (Four)31. From the following information, prepare Sundry Debtors Account and find out theclosing balance of DebtorsOpening Balance of Sundry Debtors Rs.25,000Total Sales for the year Rs.1,35,000Cash Sales for the year Rs.15,000Returns Inwards Rs.5,000Discount allowed Rs.4,000New Bills Accepted by Debtors Rs.16,000Cash received from Debtors Rs.85,000Bad Debts Rs.5,00032. Explain any four uses of Computers in Accounting. 33. (a) Name any two popular Accounting softwares available in the market.(b) “Management Information system is a part of Accounting Information System.” Do you agree? Give reasons in support of your answer.(c) Differentiate between Readymade software and Tailor made softwares.

Jaswant Modern Sr. Sec. School WORKSHEET 1 Class: XI CS

Q1. Write short answers:· What is an I-P-O cycle?· What is keyword? How are they different from identifier?· What is token? Explain in brief? · What are five standard data type in python. Explain in details · What is Suites in Python? Give example.· Difference between Compiler and Interpreter · What is sequence in python? Explain list.· What is utility software? Give its example.· Differentiate the following functions of list:

1. extend() & append().2. pop() & remove()

· Explain the following: 1. What is membership operator? Explain with example.2. Mutable object.

· Consider string st=”Hello how are you”. Write the python statement to perform the following:· Check whether the string contain ‘how’· Print the string 2 times.· Describe the various ways to create list?· Differentiate between list & string.· Describe jump statements in python. · What is for iterative statement? Differentiate between break & continue iteration.· What is linear search?· Convert the following while loop into for loop also predict the output

x=3while(x<=10):print(x+2)x=x+1

· Rewrite the following code in python after removing all syntax error(s). Underline each correction done in the code. 30=To for K in range(0,To) IF k%4==0: print (K*4)

Else: print (K+3)· What possible outputs(s) are expected to be displayed on screen at the time of execution of the program

from the following code? Also specify the maximum values that can be assigned to each of the variables FROM and TO. import random AR=[20,30,40,50,60,70]; FROM=random.randint(1,3) TO=random.randint(2,4) for K in range(FROM,TO+1): print (AR[K],end=”#“)

(i) 10#40#70# (ii) 30#40#50# (iii) 50#60#70# (iv) 40#50#70# · Which is the correct form of declaration of dictionary?

(i) Day={1:’monday’,2:’tuesday’,3:’wednesday’} (ii) Day=(1;’monday’,2;’tuesday’,3;’wednesday’) (iii) Day=[1:’monday’,2:’tuesday’,3:’wednesday’] (iv) Day={1’monday’,2’tuesday’,3’wednesday’]

· Identify the valid declaration of L: L = [1, 23, ‘hi’, 6]. (i) list (ii) dictionary (iii) array (iv) tuple

· Find and write the output of the following python code: x = "abcdef" i = "a" while i in x: print(i, end = " ")

· Predict the output of the following code:Import numpy as np

x=np.arange(1,11,2) y=x+1

print(y)· What is the output produced by the following code: a=[2,3,[5,6,7],8,11,14,23,45]

i. a[2:4]ii. a[4::2]iii. a[:3]iv. a[2]+a[4:6]

Q2. Write python code to perform the following:· To search a given number in a list.· To print the following series:

· 4, 8,12,16.20,24,28,32,36,40,44,48· 3,5,7,11,13,17,19,23,29,31,37,41,43,47· 0 1 1 2 3 5 8 13 21 34 55 89· 5 4 3 2 1

5 4 3 2 2 5 4 3 3 3 5 4 4 4 4 5 5 5 5 5

· To input a number & check if it is divisible by 9. Display the appropriate message.· Write a python program to input a numeric list of size 10 from the user. Then write the instructions used to

perform the following operations on the list:· Adding the number x at the last.· Inserting the number n at 4th position.· Deleting the last element of the list.· Display the element at 5th position.

· Define dictionary? How is it different from list? · Draw the flow chart to find the greatest of three numbers input by the user.· Give the output of the following code:

X,y=2,3X=X+yY=x-yprint(x,” “,y)

· Give the output of the following code:A=10A+=5B=a/3print(“B=”,b)

· a=(3,(4,((4,5,6),6,7),3,4),9) print(len(a))

· a=(4,6,7) b=(4,7,3) print(b>a)

· What is list slicing? Write command to slice the list L from 2nd element to 7th element where both range boundaries are inclusive. The size of the list is 10.

· Write a python program to input a number & check if it is prime or composite.· Differentiate between list & string.· How to create tuple with single integer element?· What is packing & unpacking in tuple? Explain with example.· Differentiate between 1) A is B and A==B

Q3. In interactive python predict the value of C & Z.· A=5

B=AC=A is B

· A=1B=1C=A is not B

· C=8*5/2*4· C=9/7//2· C=2**2**3· Z = int 5 + 2.0 · Z = float (5.0 + 2)· Z = float (2.0 + 2 + 3)· Z = ‘raj’ +’singh’· Z = ‘5.0’ + str 2

Q4. Convert the following hexadecimal to binary1) 2AF16 2) 35616

· What is Phishing ?· Difference between crackers and hackers· Difference between worms and Trojan horse · State the distributive laws of Boolean algebra· What are five standard data type in python. Explain in details · State and verify Involution law

· Verify the following using truth table1) X.X’ = 0 2) X+1 =1

· State and verify Absorption law· State and verify DeMorgan’s law of Boolean Algebra and verify them using truth table.· Draw logic circuit using only NOR gates· (A+B).(C+D) 2) (X’+Y) (Y’+Z)· Draw logic circuit using only Nand gates : X’Y + Y’Z· Explain single Quotation in Python.

Q5. Answer the following: · Explain Cyber Stalking · What is Cyber Bullying· What is Cyber crime? How can you report it? · What is identity fraud?· What is malware?· What is eavesdropping? Explain with example.· What is phishing?

Q6 Answer the following questions· What is a database? what is its need ?· Advantages and disadvantages of database system?· Explain primary and foreign key.· Write command to see all the column of a table in SQL.· What are String Functions in MySQL.· Name some types of join in SQL.· Differentiate between DDL and DML commands.· Difference between Drop and Truncate table. · TABLE : STORE

SNO SNAME AREAS01 ABC COMPUTERONICS GKIIS02 ALL INFOTECH MEDIA CPS03 TECH SHOPPE NEHRU PLACES04 GEEKS TECNO STORE NEHRU PLACES05 HITECH TECH STORE CP

NO INAME PRICE SNO

T01 MOTHER BOARD 12000 S01T02 HARD DISK 5000 S02T03 KEYBOARD 500 S02T04 MOUSE 300 S01

TABLE : ITEM

Q7. Write the sql queries based on ITEM table( 1 to 4 )1. Write SQL statement to create store table and item table. Mark SNO & INO as primary key in store table & Item table respectively. Add SNO in Item table as foreign key. 2To display INAME and PRICE of all the Items in ascending order of their price.2. To display SNO and SNAME of all stores located in CP.3. To display minimum and maximum price of each INAME from table ITEM4. To display INAME, PRICE of all items and their respective SNAME where they are available.

Q8.Write output of the following sql commands based on ITEM table ( 1 to 4 )1.SELECT DISTINCT INAME FROM ITEM WHERE PRICE >= 5000;2.SELECT AREA, COUNT (*) FROM STORE GROUP BY AREA;3.SELECT COUNT (DISTINCT AREA) FROM STORE;4.SELECT INAME, PRICE *0.05 DISCOUNT FROM ITEM WHERE SNO. IN(‘S02’,’S03’);Q37. Represent (A’+B’+C’)(A+B’+C’)(A+B+C’) in NOR to NOR logic network.

T05 MOTHER BOARD 13000 S02T06 KEY BOARD 400 S03T07 LCD 6000 S04T08 LCD 5500 S05T09 MOUSE 350 S05T10 HARD DISK 4500 S03

JMSS WORKSHEET CLASS XI - CHEMISTRYQ1 Define molarity, molarity , mass percentage , isotopes , isoelectronicsQ2 How many atoms are there in1 g helium gas?Q3 In three moles of ethane (C2H6), Calculate the following.

No. of moles of carbon atoms.No. of moles of hydrogen atoms.No. of molecules of ethane. Q4 What will be the mass of one 12C atom in g? Q5Calculate the molarity of NaOH in the solution prepared by dissolving its 4g in enough water to from 250 ml of the solution.Q6What is the concentration of sugar (C12H22O11) in mole-1 if its 20g are dissolved in enough water to make a final volume up to 2L?Q7The density of 3M solution of NaCl is 1.25g mole-1. Calculate molality of the solution.Q8Calculate the mass percent of different elements in sodium sulphate (Na2SO4).Q9 Find out the percentage of water of crystallization in blue vitriol?Q10 An organic compound contain 68.86 y, C , 4.96 y, H and remaining oxygen. Find the empirical formula of the compound. ( C= 12, H = 1 , O = 16)Q11 Determine the emphirical formula of an oxide of iron which has 69.9 % iron and 30.1 % dioxygen by mass.Q12 An inorganic compound was found to contain 9.76% Mg, 13.0% S, 26.01% O and 51.22% water of crystallization. What is its empirical formula? [ Mg = 24, S = 32, O = 16, H = 1]Q13 Calculate the amount of calcium oxide required when it reacts with 852 gm of P4O10.Q14A welding fuel gas contains carbon and hydrogen only. Burning a small sample of it in oxygen gives 3.38 g carbondioxide, 0.690 g of water and no other products. A volume of 10.02 ( S.T.P) of their wedding gas is found to weigh 11.6 g . calculate Empirical formula (ii) Molar mass of the gas (iii) Moleular formulaHow many significant figures are there in:0.0025 (b) 5005Q15 . Which out of molarity and molality is better expressing unit of concentrationQ16 Calculate the mass of 4.48L of carbon dioxide.Q17 How does molarity changes with temperatureQ182An inorganic salt has the following percentage composition Na-29.11, S-40.51,O-30.38 Calculate the empirical formula of the salt.Q19 Q12 A sample of salt has the following percentage composition- Fe-36.76 %, S-21.11%, O-42.21%Q20 3 grams of H2 react with 29 grams of O2 to yield water Which is the limiting reagent?Calculate the maximum amount of water that can be formed 3)Calculate the amount of one of the reactants whichremain unreacted.Q21 Write the electronic configuration oxygen , iron ,chromium,scandium and titanium Q22 Predict the period and group number of elements whose outer electronic configuration is as:ns2 np4 (n =2)(n- 1)d2 ns2 (n = 5)(n- 2)f7(n-1)d1 ns2 (n = 6) Q23 Which of the following has larger value of the property indicated. F or Cl (electron affinity)F or F - (electro negativity)Na or K (electro positivity)Q24(i) (a) Draw the shape of px orbital.Q25 Write the orbitals represented by th following quantum numbers

n = 2 ; l = 3n = 5; l = 2Q26 state a)paul’s exclusion principle b)Hunds rule c)Aufbau’s principle Q27 Why ionization enthalpies decreases down a group of periodic tableQ28 Define a)Ionizaton enthalpy b)Electron gain enthalpy Q29 How do atomic group and in a period . Give reasons for its variation.sizes vary in a Q30)The second ionization enthalpy of group I element are much higher than those of group II element why.

Q31 Write the IUPAC name of atomic number 112, 114 ,117 ,113Q32 How would you explain the fact that the first ionization enthalpy of sodium is lower than that of of magnesium but its second ionization is higher than that of magnesiumQ33Draw the Lewis dot structures of : H2SO4 (b) CO3

2- (c) O3

Q34Based on VSEPR theory predict the geometry and shape of : ClF3 (b) NH4

+

Draw the figure also.ORQ35 Based on molecular orbital theory compare the stability and magnetic property of O2

+ & O2-

Q36 a. Calculate the formal charge on Chlorine in HClO4. b. Draw molecular energy level diagram of Nitrogen molecule. Calculate bond order and its magnetic character.Q37 who gave VSEPR theory .State the postulates of VSEPR theoy.Q38Define Hybridisation.State the type of hybridization with suitable exampleQ39Explain VBT with the help of VBT write the shape and hybridization of PCl5 and SF6Q40 Differentiate between a)Sigma and Pi bond b) Bonding and antibonding molecular orbitalQ41 Calculate the hybridization of CH4 ,NH3 ,PCl5 ,SF6Q42 why sigma bond is stronger then pi bond.r.Q43 State Boyles law with ts significance Q44 State Charles law with suitable graph. Q45 A vessel of 120ml of capacity contains a gas at 20°c and 750mm pressure, the gas was transferred to a vessel which volume 180ml. Calculate the pressure of the gas at 20°?Q46. 200ml of a gas are found to have a pressure of 750mm. what will be its volume if the pressure is doubled at some temperature.Q47 103ml of CO2 were collected at 270°c & 763mm pressure. What will its volume if the pressure is changed to 731mm.Q48. A balloon filled with hydrogen at room temperature. It will burst if pressure exceeds 0.2 bar if at 1 bar pressure the gas occupies 2.27l volume, up to what volume can the balloon be expanded.Q49 20 ml of hydrogen gas measured at 15°c are heated at 35°c. what is the new volume at same pressure.Q50 At whole temperature will the volume of a gas at 0°c double itself pressure remain constant?Q51 On a ship sailing in pacific ocean where temperature is 234°c .A balloon is filled with 2l air, what will be the volume of the balloon when ship reaches Indian ocean whose temp. is 26.1°c.Q52 300ml of a gas at -10c are heated at 10c. What is the new volume of the pressure remain constant.Q53. Derive ideal gas equation(PV=nRT)Q54. Derive ideal gas equation in term of density?Q55Derive combine gas equation?Q56. At 25°c and 760mm Hg pressure a gas occupies 600 volume. What will be its pressure at a height with temp 10°c and volume of the gas is 640ml.Q57 35 ml of oxygen were collected as 6°c and 758mm pressure. Calculate the volume at NTP.Q58.500ml of nitrogen at 27c are cooled at to -5°c at the same pressure calculate the new value.

Q59. At 27°c at 1 atm pressure of gas has volume V. What will be the volume of 177°c and 1.5 atm pressure.Q60A vessel of 120 ml capacity contains a certain amount of gas at 350C and 1.2bar pressure.The gas is transferred to another vessel of volume 180ml at 350C.What would be its pressureQ61 (a)Derive ideal gas equation?(b)At 25 0C and 760mm of Hg pressure of a gas occupies 600ml volume.What will be its pressure at a height where temperature is 100 C and volume of a gas is 640 mlQ62 (a)State Dalton law of partial pressure .Mention its application. (b)A neon dioxygen mixture contain 70.6g oxygen and 167.5g neon If the pressure of the mixture of the gases in the cylinder is 2.5 bar What is the partial pressure of oxygen and neon in the mixture.Q63. Calculate (a) Wave number and (b) frequency of yellow radiations have wave length 5800 Å.Q64 Vividh Bharti station of all India radio, Delhi , broadcast at a frequency of 1368KHz. Calculate the wavelength of the radiation emitted by the transmission.Q65. The wavelength range of the visible spectrum extends from violet 400nm to red 750nm. Express these wavelength in frequencies.Q66. Calculate the wave number of radiation having frequency 4×1014 Hz. Q67. Calculate the energy of the photon of radiation having wavelength (ߣ) 6000Å. Q68 Calculate the energy of a mole of photons of radiations whose frequency is 5×1014 Hz.Q69. Calculate the energy of radiation having wavelength 7500Å.Q70. A hundred watt bulb emits monochromatic light of wavelength 400nm. Calculate number of photon emitted per sec by the bulb.Q71. The threshold frequency for a metal is 7.0× 1014/sec. calculate KE of a electron emitted when the radiation of frequency 1.0×1015/sec hits this metal.Q72. Calculate the KE of electron ejected when yellow light of frequency 5.2×1014/s falls on a surface of potassium metal threshold frequency of potassium is 5 ×1014/s.Q73 The threshold energy of photoelectric emission from a metal is 3.056 × 10-15j. if light of wavelength 4000 Å is used will the electron be ejected or not.Q74 Light of wavelength 4000 Å falls on a metal. Calculate the energy of photon emitted the critical is metal is 6600Å.Q75. Calculate the wavelength of a photoelectron having energy of one electron volt.Q76. What are the wavelength and the frequency of a photon emitted during a transmission from n=5 to n=2 is the hydrogen atom.Q77. In hydrogen atom an electron jump from n=2 to n=3. Calculate the energy required for the process. Q78. Calculate the wavelength associated with an electron (Mass of electron 9.1× 10-31 kg) moving with a velocity of 103 m/s. Q79. What will be the wavelength of a ball of mass 0.1 kg moving with a velocity of 10m/s.Q80. The mass of a electron is 9.1× 10-31 kg. if the kinetic energy is 3 × 10-25 J. calculate its wavelength.Q81 The kinetic energy of an electron is 5 × 10-5 ev. Calculate the wavelength associated with the electron. The mass of electron maybe taken as 10-30 kg. Q82. Calculate the mass of photons with wavelength 3.6 Å.Q83. Two particles A and B are in motion the wavelength associated with particle A is 5×10-8 m. calculate the wavelength associated with particle B its momentum is ½ of A.Q84. Calculate the De- Broglie wavelength of an electron that has been accelerated from rest through a potential difference of 1 kilo volt.Q85 a) Derive the formula of kinetic energy and photo electric effect. b)The threshold frequency of a metal is 7.0 x 10 . Calculate the kinetic energy of electron emitted when radiation of frequency 1.0x 10 Hits the metal. Q33 a) Derive the De Broglie relationship. b)Calculate the mass of the photon with wave length 3.6AQ86 Calculate the wavelength from the Balmer formula when n=3. Q87 Calculate –a) Wavelength and b) frequency of yellow radiation having wavelength 4200A

Q88 Calculate the energy required when an electron undergo transition in H atom from its GS to n=3.Q89 Calculate –a) Wavelength and b) frequency of yellow radiation having wavelength of 6000AQ90(a) Calculate the enthalpy change for the process CCl4 (g) → C (g) + 4Cl (g) and calculate bond enthalpy of C – Cl in CCl4 (g). ∆௩ H0 (CCl4 ) = 30.5 kJ mol-1

∆ H0 (CCl4 ) = 135. 5 kJ mol-1 ∆ H0 (C ) = 715.0 kJ mol-1

∆ H0 (Cl2 ) = 242 kJ mol-1

Where ∆ H0 is enthalpy of atomization. Q91 Enthalpy of combustion of carbon to ܥଶis – 393.5 ଵ. Calculate the heat released upon formation ofܬ35.2 g ܥଶ from carbon and dioxygen gas.Q92Derive the relation ship between Qp and Qv. Q11Enthalpy of combustion on ethylene or ethane is -1410KJ If the enthalpy of formation of carbon dioxide and water are -393.3 KJ and -286.2KJ respectively calculatethe enthalpy of formation ethylene.Q93State first law of thermodynamics. Give its mathematical formulationQ94 Derive work done in isothermal reversible thermal of an ideal gas.Q94 What is the compound formed when CO combines with blood.Q95What gas leaked to bring havoc in Bhopal tragedy.Q96 Write an explanatory note on ‘Acid Rain’Q97What is air pollution what are the main sources of air pollution.Q98What is water pollution what are the main sources of water pollution.Q99What is Green house effect . Why is it so called. What are its consequences.Q100Explain the formation and depletion of ozone layer. What are the effect of depletion of ozone layer.Q101What are biodegradable and non biodegradable pollutants.Q102What is soil pollution . what are the main cause of soil pollution.Q103What are the pollutants attacking Taj Mahal How are they being produced in the atmosphere.Q104 Draw structure of the following compounds.a)3,3-Dimethylhexanol b)Propan-2-ol c)2-chloro-4 –brormo hexanoic acidd)3,3-Dichloro 5-methyl heptane e)2,4,6-trintrotoluene f)2,3-dchloro phenolQ105 State a)Pyrolysis b)Markonikov rule c)Anti markonikov rule d)Hunds rule Q106 State Newmans projection with one suitable example.Q107Write IUPAC name of the product obtained by the ozonolysis of a)3,4-Dimethylhept-3-eneb)Pent-2-eneQ108Write chemical reactions of a)Wurtz fitting reaction b)Electrophilic substitution reactionQ109 Draw cis and trans structure of hex-2-ene .Whch isomer will have higher boiling point and why.Q110 What are the necessary condition s for any compound to show aromaticity.Q111 How will you covert benzene in to a)p-nitrobromobenzene b)p-nitro tolueneQ112 Q14.An alkene A on ozonolysis gives a mixture of ethanal and pentan-3-one . Write the structure and IUPAC name of A.Q113 Draw structure of following IUPAC compounds?(a)2,4,Dimethylcyclohex-1-ene (b)4-Methylphenol (c)3-chloro-2-hydroxy pent-4-yne-1-oic acidQ114 At 25 c and 760mmHg pressure a gas occupies 600 volume.What will be its pressure at a height with temperature 10 c and volume of the gas is 640ml.Q115Define the following terms:(a)Resonance effect (b) Pyrolysis (c)Electromeric effectQ116Propanal and Pentan-3one are the ozonolysis product of an alkene What is the structural formula Of alkene.Q117 Draw structure of following IUPAC compounds?

(a)1,3,Dimethylcyclohex-1-ene (b)2-Methylphenol (c)3-chloro-3-hydroxy pent-4-yne-1-oic acidQ118) A vessel of 120 ml capacity contains a certain amount of gas at 350C and 1.2bar pressure.The gas is transferred to another vessel of volume 180ml at 350C.What would be its pressureQ119)Define the following terms: (a)Inductive effect (b)Free radical

WORKSHEET XI ECONOMICS DEC

1. Principal characteristic of resources are ___2. Who controls economic activities under centrally planned economies ____3. Consumer is sovereign under ___4. Slope of production possibility curve is ____5. When an economy is operating on the PPC, it indicates ____6. Rotation of PPC shows

a)Increase in resources b) improvement in technology of good A c) none of above7. When marginal utility is negative ,total utility is

a)Maximum b) zero c) diminishing8. Formula for calculation of total utility is

a)Tu=∑MU b) TU=MU1+MU2+MU3+___+MUn c) both a and b9. Want satisfying power of a commodity is called

a)Consumption b) utility c) production10. Attainable combination of X and Y are drawn on the assumption that Px and Py are

a)Constant b) variable c) change in same ratio11. Budget line indicates

a)Price ratio b) income ratio c) cost ratio12. Marginal rate of substitution indicates

a)Slope of PPC b) slope of IC c) slope of income line13. Law of demand is violated when

a)Income effect is negative b) substitution effect is negative c) negative income effect is greater than substitution effect

14. Inferior goods are whose income effect isaNegative b) positive c) zero

15. Demand curve is upward sloping fora)Normal goodsb) inferior goods c) giffen goods

16. Elasticity is greater than unity fora)Necessaries b) luxary c) comfort

17. When the slope of demand curve =0, the elasticity of demand isa)0 b)1 c)∞

18. When demand curve is parallel to X axis, elasticity of demand isa)Unity b) infinity c) zero

19. Short run production is related toa)Law of variable proportion b) return to scale c) none of these

20. In the context of long run production function, factor ratio isa)Variable b) constant c0 none of these

21. Per unit of production of the variable factor is called _____22. Availability of close substitute makes the demand ____23. When percentage change in demand is more than percentage change in price, demand is ____24. The demand for goods like sugar and tea is usually _____25. The subject matter of elasticity of demand is _____26. Inferior goods are those goods whose income effect is

a)Negative b) positive c) zero27. A fall in income of the consumer will cause

a)Upward movement of demand curve b) downward movement on the demand curvec)Leftward shift of the demand curve

28. Assumption of law of demand refers toa)Determinant of demand, other than own price of the commodity b) constant cost of production c) none of these

29. MRS is determined bya)Income of the consumer b) taste of consumer c) preference of consumer

30. A set of IC drawn in a graph is calleda)Indifference curve b) indifference map c) budget line

31. Slope of budget line is indicated bya)Px/Px b) Py/Py c)∆Y/∆Y

32. A shift in budget line , when prices are constant, is due toa)Change in demand b) change in income c) change in preference

33. Ordinal concept of utility expresses utility in terms of a)Units b) level of satisfaction c) none of these

34. Formula for calculation of marginal utilitya)MUn=TUn-TUn+1 b) MUn=TUn-1-TUn-1 c) MUn=TUn-TUn-1

35. When TU is increasing at a diminishing rate, MU must bea. a)increasing b) decreasing c)constant

36. The shape of transformation curve is changed bya. a)opportunity cost b) total cost c) marginal opportunity cost

37. Concavitiy of PPC impliesa)Increasing slope b) decreasing slope c) constant slope

38. Increase in resources implies that PPCa)Shift to right b) shift to left c) rotate to the right

39. Scarcity of resources exista)At micro level b) macro level c) micro as well as macro

40. Normative economics deals witha)Facts b) opinions c) both a and b

41. Draw PPC and show the followings:- a. Full employment of resources, b. Underutilisation of resources, and c. Growth of resources

42. Write in detail about supply 43. What is price ceiling and price floor explain it with help of diagram 44. Explain shift of supply curve and demand curve with the help of diagram45. Write in detail about different forms of market 46. Calculate MRTXY at different production possibilities curve. 47. Why is a production possibilities curve concave? Explain. employed.

48. Explain properties of a production possibilities curve. 49. Explain the problem of ‘what to produce’. 50. What is Marginal Rate of transformation’? Explain with the help of an example. 51. Explain the problem ‘how to produce’52. Distinguish between ‘increase in demand’ and ‘increase in quantity demanded’ of a commodity53. Given price of a good, how does a consumer decide as to how much of that good to buy as marginal utility

is greater than price, he keeps on purchasing 54. A consumer consumers only two goods X and Y. State & explain the conditions of consumer’s equilibrium

with the help of utility analysis. 55. Explain how the demand for a good is affected by the price of its related goods. Give examples.56. Distinguish between normal goods and inferior goods. Give example also negative. 57. Explain any four factors that affect price elasticity of demand.58. Explain relationship between total utility and marginal utility with the help of a schedule. 59. Define marginal utility. State the law of diminishing marginal utility60. Explain the three properties of indifference curves.61. Explain the conditions of consumer’s equilibrium using indifference curve analysis. Use diagram. 62. Why does total utility increases at diminishing rate due to continuous increase in consumption?63. Due to decrease in price of pen why does the demand of ink increase? 64. What will be the behaviour of total utility when marginal utility curve lies below X- axis? 65. When is demand inelastic? 66. Give two examples of normal goods & inferior goods. 67. Determine how the following changes (or shifts) will affect market demand curve for a product. a. A new

steel plant comes up in Jharkhand people who were previously unemployed in the area are now employed. How will this affect the demand for colour T.V. and Black and White T.V. in the region? b. In order to encourage tourism in Goa. The Government of India suggests Indian Airlines to reduce air fare to Goa from the four major cities of Chennai, Kolkata, Mumbai and New Delhi. If the Indian Airlines reduces the fare to Goa, How will this affect the market demand curve for air travel to Goa? c. There are train and bus services between New Delhi and Jaipur. Suppose that the train fare between the two cities comes down. How will this affect demand curve for bus travel between the two cities

68. If good can be used for many purposes, the demand for it will be elastic. Why69. “If a product price increases, a family’s spending on the product has to increase.” Defend or refute. 70. Calculate standard deviation

Sno 1 2 3 4 5 6 7 8 9 10Marks 43 48 65 57 31 60 37 48 78 50

71. . Calculate corelationAge 20 30 40 50 60 70 80Members 3 61 132 153 140 51 3

72. Calculate medianCi 0-7 7-14 14-21 21-28 28-35 35-42 42-49F 5 7 10 12 18 25 30

73. Calculate mean by short cut methodSno 1 2 3 4 5 6 7 8 9 10

F 4 8 12 20 25 30 40 44 45 50

74. Calculate rank corelation

X 10 20 30 40 50 60 70F 40 44 55 67 89 110 170

76.. Calculate quartileX 5 10 15 20 25 30 35 40F 34 43 54 67 87 95 170 190

77. Calculate modeDeath rate 10.4 10.5 10.6 10.7 11.1 11.3F 1 1 5 2 2 1

78. Calculate mean by step deviation methodCI 0-10 10-20 20-30 30-40 40-50 50-60 60-70F 24 44 67 87 67 97 140

80. Calculate mean by short cut methodX 20 30 40 50 60 70 80F 32 42 57 78 98 144 188

81. Calculate median

X 10 20 30 40 50 60 70F 98 144 155 167 189 210 270

82. Calculate quartileX 10 15 20 25 30 35 40 45F 43 53 74 87 117 195 270 290

83. Calculate modeIncome 110 120 130 140 150 160No of person 2 4 8 10 5 4

84. Calculate mean by step deviation methodCI 0-10 10-20 20-30 30-40 40-50 50-60 60-70F 24 64 87 89 107 197 240

85. Calculate mean deviation and coefficient of mean deviation with the help of median

CI 0-10 10-20 20-30 30-40 40-50 50-60F 15 19 14 20 18 14

86. Calculate quartile deviationSno 1 2 3 4 5 6 7 8 9 10 11F 10 15 20 25 30 35 40 45 50 55 60

87. Calculate medianCi 0-5 5-10 10-15 15-20 20-25 25=30 30-35F 4 7 10 15 22 25 30

Jaswant Modern Sr. Sec. School WORKSHEET 1 Class: XI IP




· Consider string st=”Hello how are you”. Write the python statement to perform the following:· Check whether the string contain ‘how’· Print the string st 2 times.

· Describe the various ways to create list?· Differentiate between list & string.· Describe jump statements in python. · What is for iterative statement? Differentiate between break & continue iteration.· What is linear search?· Convert the following while loop into for loop also predict the output



Else: print (K+3)· Which is the correct form of declaration of dictionary?

(iii) Day={1:’monday’,2:’tuesday’,3:’wednesday’}(iv) Day=(1;’monday’,2;’tuesday’,3;’wednesday’) (iii) Day=[1:’monday’,2:’tuesday’,3:’wednesday’] (iv) Day={1’monday’,2’tuesday’,3’wednesday’]


· Find and write the output of the following python code:

x = "abcdef" i = "a" while i in x: print(i, end = " ")




v. a[2:4]vi. a[4::2]vii. a[:3]

viii. a[2]+a[4:6]

Q2. Write python code to perform the following:· To search a given number in a list.· To find the variance of list of 10 numbers input by the user.· To calculate the compound interest by taking principal, rate & time as input from the user & also display

the amount.· To print the following series:

· 4, 8,12,16.20,24,28,32,36,40,44,48· 3,5,7,11,13,17,19,23,29,31,37,41,43,47· 0 1 1 2 3 5 8 13 21 34 55 89· 5 4 3 2 1

5 4 3 2 2 5 4 3 3 3 5 4 4 4 4 5 5 5 5 5

· To input a number & check if it is divisible by 9. Display the appropriate message.

§ Write a python program to input a numeric list of size 10 from the user. Then write the instructions used to perform the following operations on the list:

1. Adding the number x at the last.2. Inserting the number n at 4th position.3. Deleting the last element of the list.4. Display the element at 5th position.

· Define dictionary? How is it different from list?

· Create a dataframe having following information:Roll No Name Maths Physics

101 Anshu 78 76102 Sapna 67 59103 Yaswant 79 62

104 Shaurya 83 71105 Anil 83 63106 Krishna 91 69

· Use above table to perform the following:a. Insert a new column chemistry having marks of six students.b. Insert a new column that calculate the total marks.c. Display roll no, name & total marksd. Display all records where total >200e. Display the record having maximum total.

· Given the following dataset for the weather forecast

Day Temperature Windspeed Event2/4/2019 38 45 Sunny2/5/2019 39 35 Sunny2/6/2019 35 52 Cloudy2/7/2019 32 23 Rainy2/8/2019 31 24 Rainy2/9/2019 34 25 Cloudy

1) Create dataframe for the above dataset.2) Display the record having maximum temperature3) Display the first five records of the table.4) Sort the data in ascending order of temperature.

· Draw the flow chart to find the greatest of three numbers input by the user.· Give the output of the following code:



· a=[3,[4,[[4,5,6],6,7],3,4],9] print(len(a))

· a=[4,6,7] b=[4,7,3] print(b>a)


· Write a python program to input a number & check if it is prime or composite.· Differentiate between list & string.· How to create tuple with single integer element?

· Differentiate between 1) A is B and A==BQ3. In interactive python predict the value of C & Z.

· A=5B=AC=A is B



Q4. Write the answer of the following: · What is Phishing ?· Difference between crackers and hackers· Difference between worms and Trojan horse · What are five standard data type in python. Explain in details · Explain single Quotation in Python.


Q6 Answer the following questions· What is a database? what is its need ?· Advantages and disadvantages of database system?· Explain primary and foreign key.· Write command to display all the columns of a table in SQL.· What are String Functions in MySQL.· Name some types of join in SQL.· Differentiate between DDL and DML commands.· Difference between Drop and Truncate table. · TABLE : STORE


TABLE : ITEM



INO INAME PRICE SNO

T01 MOTHER BOARD 12000 S01T02 HARD DISK 5000 S02T03 KEYBOARD 500 S02T04 MOUSE 300 S01T05 MOTHER BOARD 13000 S02T06 KEY BOARD 400 S03T07 LCD 6000 S04T08 LCD 5500 S05T09 MOUSE 350 S05T10 HARD DISK 4500 S03

Jaswant Modern Sr. Sec. School WORKSHEET 1 Class: XI IP




· Consider string st=”Hello how are you”. Write the python statement to perform the following:· Check whether the string contain ‘how’· Print the string st 2 times.

· Describe the various ways to create list?· Differentiate between list & string.· Describe jump statements in python. · What is for iterative statement? Differentiate between break & continue iteration.· What is linear search?· Convert the following while loop into for loop also predict the output



Else: print (K+3)· Which is the correct form of declaration of dictionary?

(v) Day={1:’monday’,2:’tuesday’,3:’wednesday’} (vi) Day=(1;’monday’,2;’tuesday’,3;’wednesday’) (iii) Day=[1:’monday’,2:’tuesday’,3:’wednesday’] (iv) Day={1’monday’,2’tuesday’,3’wednesday’]


· Find and write the output of the following python code:

x = "abcdef" i = "a" while i in x: print(i, end = " ")




ix. a[2:4]x. a[4::2]

xi. a[:3]xii. a[2]+a[4:6]

Q2. Write python code to perform the following:· To search a given number in a list.· To find the variance of list of 10 numbers input by the user.· To calculate the compound interest by taking principal, rate & time as input from the user & also display

the amount.· To print the following series:

· 4, 8,12,16.20,24,28,32,36,40,44,48· 3,5,7,11,13,17,19,23,29,31,37,41,43,47· 0 1 1 2 3 5 8 13 21 34 55 89· 5 4 3 2 1

5 4 3 2 2 5 4 3 3 3 5 4 4 4 4 5 5 5 5 5

· To input a number & check if it is divisible by 9. Display the appropriate message.

§ Write a python program to input a numeric list of size 10 from the user. Then write the instructions used to perform the following operations on the list:

5. Adding the number x at the last.6. Inserting the number n at 4th position.7. Deleting the last element of the list.8. Display the element at 5th position.

· Define dictionary? How is it different from list?

· Create a dataframe having following information:Roll No Name Maths Physics

101 Anshu 78 76102 Sapna 67 59103 Yaswant 79 62

104 Shaurya 83 71105 Anil 83 63106 Krishna 91 69

· Use above table to perform the following:a. Insert a new column chemistry having marks of six students.b. Insert a new column that calculate the total marks.c. Display roll no, name & total marksd. Display all records where total >200e. Display the record having maximum total.

· Given the following dataset for the weather forecast

Day Temperature Windspeed Event2/4/2019 38 45 Sunny2/5/2019 39 35 Sunny2/6/2019 35 52 Cloudy2/7/2019 32 23 Rainy2/8/2019 31 24 Rainy2/9/2019 34 25 Cloudy

5) Create dataframe for the above dataset.6) Display the record having maximum temperature7) Display the first five records of the table.8) Sort the data in ascending order of temperature.

· Draw the flow chart to find the greatest of three numbers input by the user.· Give the output of the following code:



· a=[3,[4,[[4,5,6],6,7],3,4],9] print(len(a))

· a=[4,6,7] b=[4,7,3] print(b>a)


· Write a python program to input a number & check if it is prime or composite.· Differentiate between list & string.· How to create tuple with single integer element?

· Differentiate between 1) A is B and A==BQ3. In interactive python predict the value of C & Z.

· A=5B=AC=A is B



Q4. Write the answer of the following: · What is Phishing ?· Difference between crackers and hackers· Difference between worms and Trojan horse · What are five standard data type in python. Explain in details · Explain single Quotation in Python.


Q6 Answer the following questions· What is a database? what is its need ?· Advantages and disadvantages of database system?· Explain primary and foreign key.· Write command to display all the columns of a table in SQL.· What are String Functions in MySQL.· Name some types of join in SQL.· Differentiate between DDL and DML commands.· Difference between Drop and Truncate table. · TABLE : STORE


TABLE : ITEM



INO INAME PRICE SNO

T01 MOTHER BOARD 12000 S01T02 HARD DISK 5000 S02T03 KEYBOARD 500 S02T04 MOUSE 300 S01T05 MOTHER BOARD 13000 S02T06 KEY BOARD 400 S03T07 LCD 6000 S04T08 LCD 5500 S05T09 MOUSE 350 S05T10 HARD DISK 4500 S03

WORKSHEET MATHS XI

BINOMIAL THEOREM

1- Find n, if the ratio of the fifth term from beginning to the fifth term from the end in the

expansion of ቀξ2ర + ଵξଷర ቁ

ݏ ξ6 ∶ 1

2- The second, third and fourth terms in the binomial expansion ሺݔ + ሻ are 240, 720 and 1080 respectively, find x, a and n.

3- Show that the middle term in the expansion of ሺ1 + ሻଶݔ is. ଵ.ଷ.ହ………ሺଶଵሻ

! 2ݔ

4- If three successive coeff in the expansion of ሺ1 + ሻݔ are 220, 495 and 792 then find n.5- Show that 9ାଵ − 8 − 9 is divisible by 64

6- If the middle term of ቀ ଵ௫ + ݔ ቁݔ

ଵis equal to

ଷ , then find the value of x.

7- Show that 2ସାସ − 15 − 16, is divisible by 225.

8- Find the coefficients of ݔଷଶ ଵݔ in the expansion of ቀݔସ − ଵ௫యቁ

ଵହ

9- If in the expansion of ቀ2 + ௫ଷቁ

the coefficient of ݔ is equal to ݔ. Then find .

10-If in the expansion of ቀ2ଵ ଷൗ + ଵଷభ యൗ ቁ

the ratio of 6th term from beginning and 6th term from

end is ଵ then find

11-If in the expansion of ቀݔଶ + ଵ௫ቁ

middle term is 924ݔ then find

12-Find the middle term of the expansion ሺ1 + ሻଶݔ

13-If in the expansion of ቀ5ଵ ଶൗ + 7ଵൗ ቁଵଶସ

, find the no. of rational terms.

14-Which term of the expansion ቀݔଶ − ଵ௫ቁ

ଽcontain ݔଷ & which term is independent ݔ.

15-Find the coefficient of ݔଷଽ in the expansion of ቀݔଶ − ଵ௫యቁ

ଵହ

16-If 6th term of the expansion ቀݔ − ଵ௫మቁ

ଵଵcontain ݔ then find ݔ

17-Which term is independent of ݔ in the expansion of ቆξ௫ଷ + ට ଷ

ଶ௫మቇଵ

18-If in the expansion of ቀݔଶ − ଵ௫ቁ

ଵଵthe coefficient of ݔ is equal to the coefficient of ݔ in

the expansion of ቀݔ − ଵ௫మቁ

ଵଵthen

(i) + = 1 (ii) = 1 (iii) = −1 (iv) + = −119- Find a,b and n in the expansion of (a+b)n, if the first three terms in the expansion are

729,7290 and 30375 respectively.20-The coefficient of three consecutive terms in the expansion of ሺ1 + ሻ are in the ratio

1:7:42. Find n.

SEQUENCE AND SERIES

1. If the ௧ term of an

.ܣ . ݏ ଵ ℎݐ ௧ ݎݐ ݏ ଵ

, ݓℎݏ ݐℎݐ ℎݐ ݑݏ ݏݎݐ ݏ ଵଶ

ሺ + 1ሻ, ݎℎݓ ≠.

2. Between 1 and 31 are inserted m arithmetic means so that the ratio of the 7th and (m-1)th means is 5 : 9. Find the value of m.

3. If θ1 , θ2 , θ3 , … , θn are in AP, whose common difference is d, show that sec θଵ sec θଶ +sec θଶ sec θଷ+. . . + sec θଵ sec θ = ୲ୟ୬ ୲ୟ୬ భ

ୱ୧୬ ௗ4. An A.P. contains 99 terms if the sum of terms at odd places is 2550 then find the sum of all terms

of AP.

5. The sum of the first , ,ݍ ݎ ݎݐ .ܣ . ݎ , , .ݕݒݐݏݎ ℎݓ ݐℎݐ

ሺݍ − ሻݎ +

ሺݎ − ሻ +

ሺ − ሻݍ = 0.

6. Prove that the sum to terms of the given series: 11 + 103 + 1005+ . . . ݏ ଵଽ

ሺ10 − 1ሻ + ଶ.

7. If the A.M. of two positive numbers a and b (a > b) is twice their geometric mean.

Prove that: ∶ = ൫2 + ξ3൯ ∶ ൫2 − ξ3൯.8. Sum the following series to terms: 5 + 7 + 13 + 31 + 85 + …………9. Find the sum of n terms of the series : 0.6 + 0.66 + 0.666 + … to terms.10. The product of three numbers in G.P. is 216. If 2, 8, 6 be added to them, the results are in A.P. Find

the numbers.

11. Find the 4th term from the end of the G. P. ଵଶ , ଵ

, ଵଵ , ଵ

ହସ , … , ଵସଷସ .

12. If ௧, ௧ݍ ௧ݎ terms of an A.P. and G.P. both are a, b and c respectively, show that = 1.

13. Find the sum to terms of the series: ଵଵ.ଶ + ଵ

ଶ.ଷ + ଵଷ.ସ + … + ଵ

ሺାଵሻ.

THE STRAIGHT LINES

1- Determine ݔ so that the line passing through (3, 4) and (5 ,ݔ) makes 135° angle with the positive direction of ݔ-axis.

2- Find the angle between the lines joining the points (0, 0), (2, 3) and the points (2, -2), (3, 5).3- Let A (6, 4) and B (2, 12) be two given points. Find the slope of a line perpendicular to AB.4- Determine ݔ so that 2 is the slope of the line through (2, 5) and (3 ,ݔ).5- Without using Pythagoras theorem, show that A(4, 4) B (3, 5) and C (-1, -1) are the vertices of a

right-angled triangle.6- Prove that A(4, 3), B(6, 4), C (5, 6) and D (3, 5) are the angular points of a square.

7- A ray of light passing through the point (1, 2) reflects on the ݔ-axis at point A and the reflected ray passes through the point (5, 3). Find the co-ordinates of A.

8- Find the equation of the perpendicular bisector of the line segment joining the points (1, 1) and (2, 3).

9- Show that the perpendicular drawn from the point (4, 1) on the line segment joining (6, 5) and (2, -1) divides it internally in the ratio 8 : 5.

10- A line passing through the point A (3, 0) makes 30° angle with the positive direction of ݔ-axis. If this line is rotated through an angle of 15° in clockwise direction, find its equation in new position.

11- Find the equation of the straight line passing through (3, -2) and making an angle of 60° with the positive direction of ݕ-axis.

12- Find the equation of the right bisector of the line segment joining the points A (1, 0) and B (2, 3).13- A line is such that its segment between the lines 5ݔ − ݕ + 4 = 0 ݔ3 + ݕ4 − 4 = 0 is bisected

at the point (1, 5). Obtain its equation.P

14- By using the concept of equation of a line, prove that the three points (-2, -2), (8, 2) and (3, 0) are collinear.

15- If the intercept of a line between the coordinate axes is divided by the point (-5, 4) in the ratio 1 : 2, then find the equation of the line.

16- Find the equation of the line which passes through the point (3, 4) and the sum of its intercepts on the axes is 14.

17- Find the equations of the lines which cut-off intercepts on the axes whose sum and product are 1 and -6 respectively.

18- Show that the locus of the mid-point of the segment intercepted between the axes of the variable

line ݔ cos ߙ + ݕ sin ߙ = ݏ ଵ௫మ + ଵ

௬మ + ସమ , ݎℎݓ ݏ .ݐݐݏ

19- Find the equation to the straight line which passes through the point (-4, 3) and is such that the portion of it between the axes is divided by the point in the ratio 5 : 3.

20- Find the equations of the straight lines which pass through the origin and trisect the portion of the straight line 2ݔ + ݕ3 = 6 which is intercepted between the axes.

21- Find the equation of the straight line on which the length of the perpendicular from the origin is 4 units and the line makes an angle of 120° with positive direction of ݔ-axis.

22- Find the equation of the line on which the length of the perpendicular segment from the origin to the line is 4 and the inclination of the perpendicular segment with the positive direction of ݔ-axis is 30°.

23- Find the value of

θ and , if the equation ݔ cos θ + ݕ sin θ = is the normal form of the line ξ3ݔ + ݕ + 2 = 0.24- Find the equation of a straight line on which the perpendicular from the origin makes an angle of

30° with ݔ-axis and which forms a triangle of area 50/ξ3 with the axes.

25- Find the equation of the line through the point A (2, 3) and making an angle of 45° with the ݔ-axis. Also, determine the length of intercept on it between A and the line ݔ + ݕ + 1 = 0.

26- Transform the equation of the line ξ3 ݔ + ݕ − 8 = 0 to (i) slope intercept form and find its slope and y-intercept (ii) intercept form and find intercepts on the coordinate axes (iii) normal form and find the inclination of the perpendicular segment from the origin on the line with the axis and its length.

27- Find the values of for which the line ሺ − 3ሻ ݔ − ሺ4 − ଶሻ ݕ + ଶ − 7 + 6 = 0 is (i) parallel to the ݔ-axis. (ii) parallel to the ݕ-axis, (iii) passing through the origin.

28- The line 2ݔ − ݕ = 5 turns about the point on it, whose ordinate and abscissa are equal, through an angle of 45° in the anti-clockwise direction. Find the equation of the line in the new position.

29- Find the coordinates of one vertex of an equilateral triangle with centroid at the origin and the opposite side ݔ + ݕ − 2 = 0.

30- Reduce the lines 3 ݔ − 4 ݕ + 4 = 0 and 2 ݔ + 4 ݕ − 5 = 0 to the normal form and hence find which line is nearer to the origin.

31- Find the equation of the line passing through the point of intersection of the lines 4ݔ − ݕ7 − 3 =0 and ݔ2 − ݕ3 + 1 = 0 that has equal intercepts on the axes.

32- Find the equation of the line passing through the intersection of the lines 2ݔ + ݕ = 5 and ݔ +ݕ3 + 8 = 0 and parallel to the line ݔ3 + ݕ4 = 7.

33- Find the equation of the straight line passing through the point of intersection of the linesݔ5 − ݕ6 − 1 = 0 and ݔ3 + ݕ2 + 5 = 0 and perpendicular to the line ݔ3 − ݕ5 + 11 = 0.

34- If a, b, c are in A.P., prove that the straight lines ݔ + 2 ݕ + 1 = 0, ݔ + 3 ݕ + 1 = 0 and ݔ +4 ݕ + 1 = 0 are concurrent.

35- Find the coordinates of the foot of the perpendicular drawn from the point (1, -2) on the line ݕ = 2 ݔ + 1.

36- Find the image of the point (-8, 12) with respect to the line mirror 4 ݔ + 7 ݕ + 13 = 0.37- Find the equation of the straight line perpendicular to 5 ݔ − 2 ݕ = 8 and which passes through

the mid-point of the line segment joining (2, 3) and (4, 5).38- Find the image of the point (3, 8) with respect to the line ݔ + ݕ3 = 7 assuming the line to be a

plane mirror.39- Find the coordinates of the foot of the perpendicular from the point (-1, 3) to the line 3ݔ − ݕ4 −

16 = 0.

40- Find the equation of a line perpendicular to the line ξ3 ݔ − ݕ + 5 = 0 and at a distance of 3 units from the origin.

41- Find the value of if the straight line 2 ݔ + 3 ݕ + 4 + ሺ6 ݔ − ݕ + 12ሻ = 0 is perpendicular to the line 7 ݔ + 5 ݕ − 4 = 0.

42- Prove that the straight lines ሺ + ሻ ݔ + ሺ − ሻ ݕ = 2 , ሺ − ሻ ݔ + ሺ + ሻ ݕ = 2 and ݔ +ݕ = 0 form an isosceles triangle whose vertical angle is 2 tanଵ ቀ

ቁ .

43- Show that the tangent of an angle between the lines ௫ + ௬ = 1 and ௫

− ௬ = 1 is ଶ

మ మ .44- If is the length of the perpendicular from the origin to the line ௫ + ௬

= 1, then prove that

i- ଵమ = ଵ

మ + ଵమ

ii- ସ + ସ = 0, if ଶ, ,ଶ ଶ are in A. P.45- If and ′ be the perpendicular from the origin upon the straight lines ݔ sec θ + ݕ cosec θ =

ݔ cos θ − ݕ sin θ = cos 2 θ. ݒݎ :ݐℎݐ 4 ଶ + ′ ଶ = ଶ.46- Prove that the length of perpendiculars from points

ሺଶ , 2ሻ, ሺ, + ሻ ሺଶ , 2ሻݐ ℎݐ ݔ cosଶ θ + ݕ sin θ cos θ + sinଶ θ =0 ݎ .ܩ .

47- Find the length of the perpendicular from the origin to the straight line joining the two points whose coordinates are ሺ cos α, sin αሻ and ሺ cos β, sin βሻ.

48- Find the distance of the point of intersection of the lines 2 ݔ + 3 ݕ = 21 3 ݔ − 4 ݕ + 11 =0 ݎ ℎݐ 8 ݔ + 6 ݕ + 5 = 0.

49- Find the length of the perpendicular from the point (4, -7) to the line joining the origin and the point of intersection of the lines 2ݔ − ݕ3 + 14 = 0 5 ݔ + 4 ݕ − 7 = 0.

50- Show that the product of perpendiculars on the line ௫ cos θ + ௬

sin θ = 1 from the points൫± ξଶ − ଶ, 0൯ is ଶ.51- Prove that the lines 2 ݔ + 3 ݕ = 19 and 2 ݔ + 3 ݕ + 7 = 0 are equidistant from the line 2 ݔ +

3 ݕ = 6.52- Find the equations of the two straight lines through (7, 9) and making an angle of 60° with the line

ݔ − ξ3 ݕ − 2 ξ3 = 0.53- Show that the equations of the two straight lines passing through the point (3, -2) and inclined at

60° to the line ξ3 ݔ + ݕ = 1 ݎ ݕ + 2 = 0 ݕ − ξ3 ݔ + 2 + 3 ξ3 = 0.54- One side of a rectangle lies along the line 4 ݔ + 7 ݕ + 5 = 0. two of its vertices are (-3, 1) and (1,

1). Find the equations of the other three sides.55- Find the equations to the sides of an isosceles right angled triangle the equation of whose

hypotenuse is 3 ݔ + 4 ݕ = 4 and the opposite vertex is the point (2, 2).56- A ray of light is sent along the line ݔ − ݕ2 − 3 = 0 ݑ ℎݎ ℎݐ ݔ3 − ݕ2 − 5 = 0, the

ray is reflected from it. Find the equation of the line containing the reflected ray

THE CIRCLE

1- Find the equation of the circle with:i- Centre ሺ−2, 3ሻ and radius 4.

ii- Centre ሺ, ሻ and radius ξଶ + ଶ.iii- Centre ሺ0, −1ሻand radius 1.iv- Centre ሺ cos α, sin αሻ and radius .

v- Centre ሺ, ሻ and radius ξ2 .2- Find the equation of the circle whose centre lies on the positive direction of ݕ-axis at a distance 6

from the origin and whose radius is 4.3- If the equations of two diameters of a circle are 2ݔ + ݕ = 6 ݔ3 + ݕ2 = 4 and the radius is

10, find the equation of a circle.4- Find the equation of a circle

i- Which touches both the axes at a distance of 6 units from the originii- Which touches ݔ-axis at a distance 5 from the origin and radius 6 unitsiii- Which touches both the axes and passes through the point (2, 1)iv- Passing through the origin, radius 17 and ordinate of the centre is -15.

5- If the lines 2ݔ − ݕ3 = 5 ݔ3 − ݕ4 = 7 are the diameters of a circle of area 154 square units, then obtain the equation of the circle.

6- If the lines 3ݔ − ݕ4 + 4 = 0 ݔ6 − ݕ8 − 7 = 0 are tangents to a circle, then find the radius of the circle.

7- If the line 2ݔ − ݕ + 1 = 0 touches the circle at the point (2, 5) and the centre of the circle lies on the line ݔ + ݕ − 9 = 0. Find the equation of the circle.

8- Prove that the radii of the circles ݔଶ + ଶݕ = 1, ଶݔ + ଶݕ − ݔ2 − ݕ6 − 6 = 0 ଶݔ + ଶݕ − ݔ4 −ݕ12 − 9 = 0 are in A. P.

9- Find the equation of the circle concentric with the circle ݔଶ + ଶݕ − ݔ6 + ݕ12 + 15 = 0 and double of its area.

PARABOLA

1- Find the equation of the parabola whose:i- The focus is at (0, -3) and the vertex is at (0, 0)ii- The focus is at (0, -3) and the vertex is at (-1, -3)

2- Find the vertex, focus, axis, directrix and latus-rectum of the following parabolas (i)- ݕଶ = 8 ݔ (ii)- 4 ଶݔ + ݕ = 0 (iii)- ݕଶ + 4 ݔ +4 ݕ − 3 = 0 (iv)- 4 ሺݕ − 1ሻଶ = −7 ሺݔ − 3ሻ (v)- ݔଶ + ݕ = ݔ6 − 14

3- Find the area of the triangle formed by the lines joining the vertex of the parabola ݔଶ = ݕ12 to the ends of its latus-rectum.

4- Find the equation of a parabola with vertex at the origin, the axis along ݔ-axis and passing through (2, 3).

5- Find the equation of a parabola with vertex at the origin and the directrix, ݕ = 2.6- Find the equations of the lines joining the vertex of the parabola ݕଶ = ݔ6 to the point on it which

have abscissa 24.

ELLIPSE

1- Find the eccentricity, coordinates of foci, length of the latus-rectum of the following ellipse:i- 4 ଶݔ + 9 ଶݕ = 1 ii- 25 ଶݔ + 16 ଶݕ = 1600. iii- 9ݔଶ + ଶݕ25 = 225

2- Find the equation to the ellipse (referred to its axes as the axes of ݔ and ݕ respectively) which

passes through the point (-3, 1) and has eccentricity ටଶହ .

3- Find the equation of the ellipse in the following cases:

i- Eccentricity = ଵଶ and foci ሺ± 2, 0ሻ

ii- Eccentricity = ଵଶ and major axis = 12

iii- Vertices ሺ0, ± 13ሻ, foci ሺ0, ± 5ሻiv- Ends of major axis ሺ± 3, 0ሻ, ends of minor axis ሺ0, ± 2ሻv- Length of major axis 26, foci ሺ± 5, 0ሻ

4- Find the equation of an ellipse whose foci are at ሺ± 3, 0ሻ and which passes through (4, 1).5- Find the equation of an ellipse whose eccentricity is 2/3, the latus-rectum is 5 and the centre is at

the origin.6- Find the equation of an ellipse whose axes lie along coordinate axes and which passes through (4,

3) and (-1, 4).

7- Find the equation of an ellipse whose vertices are ሺ0, ± 10ሻand eccentricity = ସହ .

8- A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point on the rod, which is 3 cm from the end in contact with ݔ-axis.

HYPERBOLA

1- For the following hyperbolas find the lengths of transverse and conjugate axes, eccentricity and coordinates of foci and vertices: length of the latus-rectum, equations of the directrices:i- ଶݔ16 − ଶݕ9 = 144 ii- ଶݔ3 − ଶݕ6 = −18

2- Find the equation of the hyperbola, referred to its principal axes as axes of coordinates, in the following cases:

i- ݏݐݎ ݐ ሺ± 5, 0ሻ, ܨ ݐ ሺ± 7, 0ሻ ii- ݏݐݎ ݐ ሺ0, ± 7ሻ, = ସଷ

3- Find the equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13.

4- Find the axes, eccentricity, latus-rectum and the coordinates of the foci of the hyperbola 25 ଶݔ − 36 ଶݕ = 225.

5- Find the eccentricity of the hyperbola, the length of whose conjugate axis is ଷସ of the length of

transverse axis.

6- If the distance between the foci of a hyperbola is 16 and its eccentricity is ξ2, then obtain its equation.

LIMITS

1- Evaluate:

i- ୪୧୫௫ → ξଶ

௫ర ସ௫మ ା ଷ௫ ξଶ .

ii- ୪୧୫௫ → ଷ

௫య ௫మା ଵହ௫ଽ௫ర ହ௫య ା ଶ ௫ ଶ .

iii- ୪୧୫௫ → ଵ ቀ ଵ

௫మ ା ௫ ଶ − ௫௫య ଵቁ .

iv- ୪୧୫௫ → ଶ ቀ ଵ

௫ – ଶ − ସ௫య –ଶ௫మቁ .

v- ୪୧୫௫ → ଵ

௫ర ଷ௫య ା ଶ௫య – ହ௫మ ାଷ௫ ା ଵ .

vi- ୪୧୫௫ → ଶ

௫య ା ଷ௫మ –ଽ௫ଶ௫య – ௫ – .

vii- ୪୧୫௫ → ଶ ቄ ଵ

௫ ଶ − ଶ ሺଶ௫ ଷሻ௫య ଷ௫మା ଶ௫ቅ

viii- ୪୧୫௫ → ξଵ

ξ ଶ௫ ሺξହ ξଶሻ௫మ ଵ

ix- ୪୧୫௫ → ξଵ

ξା ଶ௫ ሺξହ ା ξଶሻ௫మ ଵ

x- ୪୧୫௫ →

ξଵ ା ௫ ା ௫మ ξ௫ାଵଶ௫మ

xi- ୪୧୫௫ → ଵ

௫మ ξ௫ξ௫ ଵ

xii- ୪୧୫௫ → ξ

ξହ ା ଶ௫ – ξଷ ା ξଶ௫మ

xiii- ୪୧୫௫ → ଶ

ሺ௫భ/య ା ଷሻ ሺ௫భ/య ଷሻ௫ ଶ

xiv- If ୪୧୫௫ →

௫ఱ ఱ

௫ = 405, ϐind all possible values of .

xv- If ୪୧୫௫ →

௫య య

௫ = ୪୧୫௫ → ଵ

௫ర ଵ௫ ଵ , ϐind all possible values of .

xvi- ୪୧୫௫ → ஶ

ଷ௫య ସ௫మା ௫ ଵଶ௫యା ௫మ – ହ௫ ା

xvii- ୪୧୫௫ → ஶ

ଵయା ଶయା … ା య

ሺ –ଵሻర

xviii- ୪୧୫௫ → ஶ

ξ௫మ ା మ ξ௫మ ା మ

ξ௫మ ା మ ξ௫మ ା ௗమ

xix- ୪୧୫௫ → ஶ ξݔ ൛ξݔ + 1 − ξݔ ൟ

xx- ୪୧୫௬ →

ሺ௫ ା ௬ሻ ୱୡ ሺ௫ ା ௬ሻ – ௫ ୱୡ ௫௬

xxi- ୪୧୫௫ →

ୱ୧୬ ௫ – ଶ ୱ୧୬ ଷ௫ ା ୱ୧୬ ହ௫௫

xxii- ୪୧୫௫ →

୲ୟ୬ ௫ ା ସ ୲ୟ୬ ଶ௫ ଷ ୲ୟ୬ ଷ௫௫మ ୲ୟ୬ ୶

xxiii- ୪୧୫௫ →

ହ௫ ୡ୭ୱ ௫ ା ଷ ୱ୧୬ ௫ଷ௫మ ା ୲ୟ୬ ௫

xxiv- ୪୧୫௫ →

ଵ ୡ୭ୱ ଶ௫ ା ୲ୟ୬మ ௫௫ ୱ୧୬ ୶

xxv- ୪୧୫௫ →

ୱ୧୬ ሺ ା ௫ሻ ା ୱ୧୬ ሺ ௫ሻ – ଶ ୱ୧୬ ௫ ୱ୧୬ ௫

xxvi- ୪୧୫௫ → ሺcosec ݔ − cot ሻݔ

xxvii- ୪୧୫௫ →

ξଵ ା ୱ୧୬ ௫ – ξଵ ୱ୧୬ ௫௫

xxviii- ୪୧୫௫ →

ଷ ୱ୧୬ ௫ – ୱ୧୬ ଷ௫௫య

xxix- ୪୧୫௫ → ഏ

ల

ଶ ξଷ ୡ୭ୱ ௫ ୱ୧୬ ௫ሺ௫ – గሻమ

xxx- ݒݎ :ݐℎݐ ୪୧୫௫ → గ/ସ

୲ୟ୬య ௫ – ୲ୟ୬ ௫ୡ୭ୱ ቀ ௫ ା ഏ

ర ቁ= −4

xxxi- ୪୧୫௫ → గ/ସ

ସ ξଶ –ሺୡ୭ୱ ௫ା ୱ୧୬ ௫ሻఱ

ଵ ୱ୧୬ ଶ௫

xxxii- ୪୧୫௫ → ഏ

ర

ξଶ ୡ୭ୱ ௫ ୱ୧୬ ௫

ቀഏర ௫ቁ

మ

xxxiii- ୪୧୫௫ → గ/ସ

ξୡ୭ୱ ௫ – ξ ୱ୧୬ ௫௫ – గ/ସ

xxxiv- ୪୧୫௫ → ഏ

మ

ቀ ഏమ – ௫ ቁ ୱ୧୬ ௫ ଶ ୡ୭ୱ ௫

ቀ ഏమ ௫ ቁ ା ୡ୭୲ ௫

xxxv- ୪୧୫௫ → ഏ

ల

ୡ୭୲మ ௫ ଷୡ୭ୱୡ ௫ ଶ

xxxvi- ୪୧୫௫ → ഏ

ర

ଶ ୡ୭ୱୡమ ௫ଵ ୡ୭୲ ௫

xxxvii- ୪୧୫௫ → గ

ξଶ ା ୡ୭ୱ ௫ – ଵ ξଵ ୱ୧୬ ௫ሺగ ௫ሻమ

JMSS WORKSHEET 11th Subject: Physics

UNITS AND MEASUREMENT

1. Express 0.53 A0 in m and nm.2. Calculate the distance in km of a quasar from which light takes 3 billion years ( 3× 109 years) to reach the

earth. [ Ans: 2.8 × 1022 km]3. A radar signal is projected towards a planet from earth and its echo is received 7 minutes later. The

distance between the planet and the earth is 6.3 × 1010 m. calculate the speed of the signal. [ Ans: 3 × 108

m/s]4. The angular diameter of the Jupiter is 36’’. If the distance of the Jupiter from the earth is 8.25 ×108 km, find

the diameter of the Jupiter. [ Ans: 1.4 × 105 km]5. A star is located 9 light years away from us. What is its distance in parsec? What is the parallax shown by

this star when view from two locations 3 × 1011 m apart? [ Ans: 2.76 parsec, 0.73”]6. Convert 1 dyne into newton using dimensional analysis. [ Ans: 10-5 N]7. A tractor is moving with a velocity of 500 cm s-1. Calculate its value in km h-1. [ Ans: 18 km h-1]8. Find the value of 20 joule in a system which has 10 cm, 1 kg and 0.5 minute as fundamental units of length,

mass and time. [ Ans: 1.8 × 106]9. Find the value of 90 joule/ minute on a system which has 100 g, 100 cm and 1 min as fundamental units. [

Ans: 3.24 × 106]10. Check the correctness of the following relation

v2 – u2 = 2aS11. Check whether the following equation is dimensionally correct or not.

h =ଶ ఙ ୡ୭ୱ ௗ

where h is the height of the liquid, σ is the surface tension of liquid, r is the radius of tube, d is the density of liquid and g is acceleration due to gravity. [ Ans: correct]

12. Check the correctness of equation.

T = 2 ߨට

Where T is time period, l is the length of simple pendulum, g is acceleration due to gravity. [ Ans: correct]

13. The force F acting on the body depends upon mass (m) of the body and acceleration (a) of the body. Find the expression for the force F using the method of dimensions. [ Ans: F = K m a]

14. A body of mass m is moving in a circle of radius r with angular velocity . Find the expression for the centripetal force F acting on the body using method of dimensions. [Ans: F= mr2]

15. Find the units of length, mass and time, if the units force, velocity and energy respectively are 100 dyne, 10 cm/s and 500 erg. [ Ans: M= 5 g, L= 5 cm, T= 0.5 s]

16. Solve with due regards to significant figures:( 3.5× 10-4) + ( 4.0 × 10-7) [Ans: ( 3.5 × 10-4)]

17. Two different masses are determined as ( 20.5± 0.4) kg and (40.8 ± 0.3) kg. what is the sum of their masses? [Ans: (61.3 ± 0.7) kg]

18. The length, breadth and thickness of a block of metal are measured with the help of a metre rod. The results after calculating the errors are

Length = (15.12± 0.01) cmBreadth= (10.15± 0.001) cmThickness= (5.28± 0.01) cmFind the percentage error in the volume of block. [Ans: 0.35%]

MOTION IN STRAIGHT LINE1. An aeroplane is flying in the sky. Is its motion three dimensional?2. Is the time variation of position as shown in fig observed in nature?3. Which speed is measured by the speedometer of a car?4. Can a body have a constant velocity but a variable speed?5. Can a body have a constant speed but a variable velocity?6. If the acceleration of a body is zero, what is the nature of the motion?7. Can the displacement be greater than distance travelled by the object?8. A car covers a distance S1 with velocity v1 and distance S2 with velocity v2. What is the average velocity of

car?9. A cyclist completes one round of circular track of radius 20 m in 20 seconds. What will be the displacement

at the end of 20 s and 30 s?10. In above question, what is the average speed and average velocity?11. The velocity- time graph of two bodies A and B make angles o 30° and 60° with the time- axis. What is the

ratio of their accelerations? [ ans: 1/3]12. The displacement- time graph of two bodies A and B make angles of 45° and 30° with time- axis. What is

the ratio of their velocities? [ ans: ξ3]13. A car travels half the distance with velocity v1 and the second half with a velocity v2. If the total distance is

S, what is the average velocity of the car?14. When two cars A and B move towards each other with constant velocities vA and vB, the distance between

them decreases by 10 m/s. when they move in same direction with the same speed, the distance between them increases by 5 m/s. what are their velocities?[ans: 7.5 m/s, 2.5 m/s]

15. When is an object said to be accelerating?16. The position of a stone dropped from rest from a cliff is given by x= 4.9 t2 where x is in metres and t is in

seconds. What is the acceleration of the stone? [ ans: 9.8 m/s2]17. In one dimensional motion, can a particle have zero speed at an instant but non-zero acceleration at that

instant?18. A ball is thrown straight up. What is its velocity and acceleration at the top?19. A body is thrown vertically upwards with a velocity of 30 m/s. what is its velocity when it hits the ground?20. Two balls of different masses are thrown vertically upward with the same initial speed. Which one will rise

to greater height?21. A ball is thrown vertically upwards and takes 5 s to reach the highest point. What is the time for downward

journey?22. The initial and final velocities of a uniform accelerated body are 20 m/s and 60 m/s. what is the average

velocity?23. A car starting from rest has an acceleration of 5 m/s2. How fast will it be after 10 s? [ ans: 50 m/s]

24. What is the ratio of the distances travelled by a body falling freely from rest during first, second and third second of its fall. [ ans: 1:3:5]

25. A stone is thrown vertically upward with an initial velocity of 14 m/s. what is the maximum height reached? [ ans: 10 m]

26. The position of a particle moving along a straight line is given by x= 2 - 5t – 6t2. What is the acceleration of the particle at t= 2s? [ ans: 12 m/s2]

27. A body is dropped from a height h. in how much time will it reach the ground?28. A food packet is released from a helicopter which is rising steadily at 2 m/s. what is the velocity of the

packet after 2 seconds? Take g = 10 m/s2. [ ans: 18 m/s]

MOTION IN A PLANE

1. Two forces of 5 N and 7 N act on a particle with an angle of 60°between them. Find the resultant force. [ans: 10.44 N, tan-10.71]

2. The greatest and least resultants of two forces acting at a point are 29 N and 5 N respectively. If each force is increased by 3 N, find the resultant of two new forces acting at right angle to each other. [ans: 25 N, tan-

10.75]3. A boatman can row with a speed of 10 kmh-1 in still water. If the river flows steadily at 5 kmh-1 ,in which

direction should the boatman row in order to reach a point on the other bank directly opposite to the point from where he started? The width of the river is 2 kmh-1. [ans:120° with the direction of river flow]

4. Two forces F1= 3i + 4j and F2 = 3i + 4k are acting simultaneously at a point. What is the magnitude of the resultant force? [ans: ξ74 ]

5. An aeroplane takes off at angle of 30° to the horizontal. If the component of its velocity along the horizontal is 250 kmh-1, what is the actual velocity? Find also the vertical component of the velocity. [ans: 288.67 kmh-1, 144.33 kmh-1]

6. Prove that the vectors A = i + 2j + 3k and B = 2i – j are perpendicular to each other.7. If the magnitudes of two vectors are 3 and 4 and their scalar product is 6 then find the angle between the

two vectors. [ans: 60°]8. The vectors P, Q and R have magnitudes 5, 12 and 13 units and P + Q = R, find the angle between Q and R.

[ans: 90°]9. If A + B = C and A2 + B2 = C2, then prove that A and B are perpendicular to each other.

10. Determine the sine of the angle between the vectors 3i + j + k and 2i – 2j + 4k. [ans: 2/ξ7]11. A boat is moving with a velocity ( 3i + 4j ) with respect to ground. The water in the river is moving with a

velocity ( -3i – 4j ) with respect to ground. What is the relative velocity of boat with respect to river? [ans: 6i + 8j ]

12. A projectile is fired horizontally with a velocity of 98 ms-1 from the top of a hill 490 m high. Find (i) the time taken to reach the ground (ii) the distance of the target from the hill and (iii) the velocity with which the projectile hits the ground. [ans: 10s, 980m, 138.59 m/s]

13. A helicopter flying horizontally with a speed u at an altitude h, has to drop a food packet for a victim standing on the ground. At what distance from the victim should the food packet be dropped?

14. Find the angle of projection for which the horizontal range and the maximum height are equal. [ans: tan-14 ]

15. Prove that the maximum horizontal range is four times the maximum height attained by the projectile, when fired at an inclination so as to have maximum horizontal range.

16. Which is greater: the angular velocity of hour hand of a watch or angular velocity of earth around its own axis?

17. Calculate the angular speed of flywheel making 420 revolutions per minute.18. Find the magnitude of the centripetal acceleration of a particle on the tip of a fan blade, 0.3 metre in

diameter, rotating at 1200 rev/ minute. [ 2368.8 m/s2]

LAWS OF MOTION

1. A bullet of mass 0.04 kg moving with a speed of 90 m/s enters a heavy wooden block and is stopped after a distance of 60 cm. what is the average resistance force exerted by the block on the bullet? [ -270 N]

2. A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of 12 m/s. if the mass of the ball is 0.15 kg, determine the impulse imparted to the ball. [ -3.6 Ns ]

3. A lift of mass 2000 kg is supported by thick steel ropes. If maximum upward acceleration of the lift be 1.2 m/s2 and the breaking stress for the ropes be 2.8 × 108 Nm-2, what should be the minimum diameter of the rope? [ 1cm]

4. A lift starts from rest with a constant upward acceleration. It moves 1.5 m in the first 0.4 s. a person standing in the lift holds a packet of 2 kg by a string. Calculate the tension in the string. Calculate the tension in the string during the motion. [ 57.1 N]

5. A man weighing 60 kg runs along the rails with a velocity of 18 km/h and jumps into a car of mass 1 quintal standing on the rails. Calculate the velocity with which the car will start travelling along the rails. [ 1.8 m/s]

6. Heavier bodies need greater initial effort to put them in motion. Why?7. A force of 5 N changes the velocity of a body from 10 m/s to 20 m/s in 5 sec. how much force is required to

bring about the same change in 2 sec? [ 12.5 N]8. Earth is a rotating frame of reference, even then it is considered as inertial frame of reference for all

practical purpose. Why?9. A bullet fired from a gun is more dangerous than an air molecule hitting a person, though both of them

have almost the same speed. Why?10. Fuel is consumed at the rate of 100 kg/s in a rocket. The exhaust gases are ejected at a speed of 4.5× 104

m/s wrt the rocket. What is the thrust experienced by the rocket? Also calculate velocity of the rocket at the instant, when its mass is reduced to 1/10th of its initial mass. Take initial velocity of rocket to be zero. [ 4.5 × 106 N, 1.03× 105 m/s ]

11. Calculate the ratio m0/m for a rocket to attain the escape velocity of 11.2 km/s after starting from rest, when maximum exhaust velocity of gases is 1.6 km/s. [ 1096]

12. A rocket of initial mass 6000 kg ejects mass at a constant rate of 16 kg/s with constant relative speed of 11 km/s. what is the acceleration of the rocket one minute after blast?

13. Two bodies of masses 11 kg and 11.5 kg are connected by a long string passing over a smooth pulley. Calculate velocity and height ascended/ descended by each body at the end of 4 sec. [ 0.87 m/s, 1.7 m]

14. Two bodies whose masses are m1= 50 kg and m2= 150 kg are tied by a light string and are placed on a frictionless horizontal surface. When m1 is pulled by a force F, an acceleration of 5 m/s2 is produced in both the bodies. Calculate the value of F. what is the tension in the string? [ 1000 N, 750 N]

15. Sand is spread on tracks covered with snow. Why?16. Is large brake on a bicycle wheel more effective than a small one?17. A block of mass 1 kg lies on horizontal surface in a truck. The coefficient of static friction between the block

and the surface is 0.6. If the acceleration of the block is 5 ms-2, calculate the frictional force acting on the block. [ 5 N]

18. A block is gently placed at the top of an inclined plane 6.4 m long. Find the time taken by the block to side down to the bottom of the plane. The plane makes an angle 30° with the horizontal. Coefficient of friction between the block and the plane is 0.2. take g= 10 ms-2 [ 1.98 sec ]

19. What is the source of the centripetal force, when an electron revolves around the medium?20. A force of 3 kg wt is just sufficient to pull a block of 4 kg over a horizontal surface. What is the angle of

friction?21. A car running at the rate of 7m/s can be stopped by applying brakes in 10 m. show that the total resistance

to the motion, when brakes are on, is one fourth of the weight of the car.22. A horizontal force of 1.2 kg is applied on a 1.5 kg block, which rests on a horizontal surface. If the

coefficient of friction is 0.3, find the acceleration produced in the block. [ 4.9 ms-2]23. A block slides down an inclined of 30° with the horizontal. Starting from rest, it covers 8 m in the first two

seconds. Find the coefficient of kinetic friction between the two. [ 0.11]24. A block of mass 2 kg rests on a plane inclined at 30° with the horizontal. The coefficient of friction between

the block and the surface is 0.7. What will be the frictional force acting on the block? [9.8 N]25. A body of mass 0.5 kg is whirled in a circle with a velocity of 2 m/s using 0.5 m length of a string, which can

withstand a tension of 15 N. predict whether or not the string will brake.[ No]

26. Find the maximum speed at which a car can turn round a curve of 30 m radius on a level road if the coefficient of friction between the tyres and the road is 0.4. take g= 10ms-2 [ 11 m/s]

27. A motor cyclist goes round a circular race course of diameter 320 m at 144 km/h. how far from the vertical must he keep his balance. [ 45°]

28. The speed limit of a car over a roadways bridge in the form of a vertical arc is 9.8 m/s. Calculate the diameter of the arc. [ 19.6 m]

29. A body weighing 0.4 kg is whirled in a vertical circle making 2 rps. If the radius of the circle is 1.2 m, find the tension in the string at top and bottom of the circle. [ 71.9 N, 79.78 N]

30. A fighter plane is pulling out for a dive at a speed of 900 km/h. assuming its path to be a vertical circle of radius 2000 m and its mass to be 16000 kg, find the force exerted by the air on it at the lowest point. [ 6.56 × 105N]

WORK, ENERGY AND POWER

1. Is it possible that a body be in accelerated motion under a force acting on the body, yet no work is being done by the force. [ans: Yes]

2. Two protons are brought towards each other. Will the potential energy of the system decrease or increase? If a proton and an electron be brought nearer, then?

3. A light body and a heavy body same linear momentum. Which one has greater K. E.? [ ans: lighter body]4. A light body and a heavy body have same kinetic energy. Which one has greater linear momentum? [ans:

heavier body ]5. A truck and a car moving with the same KE are stopped by applying same retarding force by means of

brakes. Which one will stop at a smaller distance? [ans: both will stop at the same distance]6. The velocity of an aeroplane is made twice (a) what will happen to the momentum? (b) what will happen

to the K.E.? [ ans: momentum- twice, KE- four times]7. A spring of force constant k is cut into two pieces of length l1 and l2. Calculate force constant of each part. 8. A man weighing 55 kg supports a body of 20 kg on his head. Calculate work done by him if he moves a

distance of 20 m (i) on a horizontal road, (ii) upon a smooth incline of 1 in 5. Take g = 10 m/s2 [ans: (i) zero, (ii) 3000J]

9. A force exerted an impulse J on a body changing its speed from u to v. the force and object’s motion are along the same line. Show that the work done by the force is J( u+ v )/2.

10. A particle moves from a point r1= (2i + 3j) to another point r2= ( 3i + 2j) during which certain force F = ( 5i + 5j) acts on it. Calculate work done. [ans: zero]

11. If momentum of a body is increased by 50 %, then what will be the percentage increase in KE of the body? [ans: 125%]

12. A spring with a force constant K obeys Hook’s law. It requires 4 J of work to stretch it through 10 cm beyond its unstretched length. Calculate K and extra work required to stretch it through additional 10 cm. [ans: 800 N/m, 12 J]

13. A pendulum bob has a speed of 3 m/s while passing through its lowest position. What is its speed when it makes an angle of 60° with the vertical? The length of the pendulum is 0.5 m. take g= 10 m/s2. [ans: 2 m/s]

14. An engine pumps up 100 kg of water through a height of 10 m in 5 seconds. If the efficiency of the engine is 60%, calculate the power of the engine in kW. Take g = 10 m/s2. [ans: 3.33 kW]

15. A car of mass 2000 kg is lifted up a distance of 30 m by a crane in 1 min. A second crane does the same job in 2 min. Do the cranes consume the same of different amounts of fuel? What is the power supplied by each crane?[ans: same fuel, 9800W, 4900W]

16. A car of mass 1000 kg accelerates uniformly from rest to a velocity of 54 km/h in 5 sec. calculate (a) its acceleration (b) its gain in KE (c) average power [ ans: (a) 3 m/s (b) 1.125× 105J (c) 2250 W]

17. What percentage of KE of a moving particle is transferred to a stationary particle when it strikes the stationary particle of 4 times its mass? [ans: 64%]

18. A bomb at rest explodes in two fragments of masses 3 kg and 1 kg. the total kinetic energy of the fragments is 6 × 104 J. calculate (i) KE of bigger fragment (ii) momentum of smaller fragment. [ans: (i) 1.5 × 104 J (ii) –300 kgm/s]

19. A sphere of mass m moving with velocity u hits another stationary sphere of same mass. If e is coefficient of restitution, what is the ratio of velocities of two spheres after collision?

20. A simple pendulum of length 1 m has a wooden bob of mass 1 kg. it is struck by a bullet of mass 10-2 kg moving with a speed of 2 × 102 m/s. the bullet gets embedded into the bob. Obtain the height to which the bob rises before swinging back. [ans: 0.2m]

SYSTEM OF PARTICLES

1. If no external torque acts on a body, will its angular velocity remain conserved?2. A particle is executing uniform circular motion. Is the particle in rotational equilibrium?3. Why centripetal force cannot do work?4. A particle moves in a circular path with decreasing speed. What happens to its angular momentum?5. Two bodies of masses 0.8 kg and 1.2 kg are located at (1,-2) and (-3,4) respectively. Find the coordinates of

the centre of mass. [ ans: (-1.4,1.6)]6. Three particles each of mass 2.5 kg are located at the corners of a right angled triangle whose sides are 2 m

and 1.5 m long. Locate the centre of mass. [ ans: 1.33,0.5]7. Two balls of masses 3m and m are separated by a distance l. find the position of centre of mass. [ans: l/4]8. Starting from rest, a fan takes 5 seconds to attain the maximum speed of 400 rpm. Assuming constant

acceleration, find the time taken by the fan in attaining half the maximum speed.[ans: 2.5 sec]9. The wheel of a motor accelerated uniformly from rest rotates through 2.5 radians during the first second.

Find the angle rotated in the next second. [ans: 7.5 rad ]10. A force of 36 N is applied to a particle located at 0.15 m from the axis of rotation. What is the magnitude of

torque about this axis, if the angle between the direction of the applied force and the radius vector is 60°. [ ans: 4.68 Nm]

11. A torque of 20 Nm is applied on a wheel initially at rest. Calculate the angular momentum of the wheel after 3 sec. [ ans: 60 kg m2s-1]

12. A car of mass 900 kg is moving around a circular path of radius 300 m with a steady speed of 72 km/h. calculate its angular momentum.[ans: 5.4× 106 kg m2s-1]

13. How a swimmer jumping from a height is able to increase the number of loops made in the air?14. Two particles of masses 5 kg and 7 kg are mounted 4m apart on a light rod (whose mass can be ignored).

Calculate the moment of inertia of the system (i) when rotated about an axis passing half way between the masses and (ii) when the system rotates about an axis located 0.5 m to the left of the 5 kg mass. [ ans: 143 kg m2]

15. Three point masses m1, m2, and m3are located at the vertices of an equilateral triangle of length a. find the moment of inertia of the system about an axis along the altitude of the triangle passing through m1.

16. A solid flywheel has a moment of inertia of 0.1 kg m2 about its axis of rotation. It is set in motion by applying a tangential force of 19.6 N with a rope wound round its circumference. If the radius of the wheel is 10 cm, calculate the angular acceleration produced. [ ans: 19.6 rad/s2]

17. Energy of 484 J is spent in increasing the speed of a flywheel from 60 rpm to 360 rpm. Find the moment of inertia of the wheel. [ ans: 0.7 kgm2]

18. A ballet dancer spins about a vertical axis at 1 rps with arms out- stretched. With her arms folded, her moment of inertia about the vertical axis decreases by 60%. Calculate the new rate of revolution. [ ans: 2.5 rps]

19. The earth were to suddenly contract to half its present radius , by how much would the day be decreased? [ ans: 6 hours]

20. Calculate the moment of inertia of a uniform disc of mass 200 g and radius 5 cm about an axis passing through its edge and perpendicular to the plane of the disc. [ 7.5 × 10-4kg m2]

21. A solid cylinder of mass 5 kg and radius 30 cm is free to rotate about its central axis. Find the moment of inertia of the cylinder. [ ans: 0.225 kg m2]

22. A uniform circular disc of mass 100 g and diameter 10 cm is rotating about an axis passing through its centre and perpendicular to the plane of the disc. Find the moment of inertia of the disc. [ ans: 1.25 × 10-

4kg m2]

GRAVITATION

1. Three uniform sphere, each having mass m and radius R, kept in such a way that each touches the other two. Find the magnitude of the gravitational force on any sphere due to other two.

2. What would happen if gravity suddenly disappear?3. The linear speed of a planet around the sun is not constant in its orbit. Comment.4. If earth be at one half its present distance from the sun, how many days will there be in a year? [ ans: 129

days]5. A planet is revolving around the sun in an elliptical orbit. Which out of the following remains constant:

linear speed, angular momentum, kinetic energy, potential energy and total energy.6. On the earth the value of G= 6.67 × 10-11 Nm2kg-2. What is its value on moon.7. The value of g on the moon is 1/6th of that of earth. If a body is taken from the earth to the moon, then

what will be the change in its weight and mass.8. If a man goes from the surface of earth to a height equal to the radius of the earth, then what will be his

weight relative to that on the earth? What if he goes equally below the surface of earth? [ ans: 1/4th, zero]9. Why is gravitational potential energy negative?10. What is the maximum value of gravitational potential energy and where.11. The centripetal force on a satellite revolving around the earth is F. what is the gravitational force due to

earth on it?12. Two artificial satellites, one close to the surface and the other away are revolving around the earth. Which

has larger speed?13. Should the speed of two artificial satellites of the earth having different masses but the same orbital radius,

be the same?14. If a satellite is revolving around a planet of density ρ, show that ρT2 is a universal constant.15. Two satellites A and B are orbiting around the earth in circular orbits of the same radius. The mass of A is

16 times that of B. what is the ratio of the period of revolution of B to that of A?16. On a planet whose size is the same and mass 4 times as that of the earth, find the energy needed to lift a 2

kg mass vertically upwards through 2 m distance in joules. The value of g on the surface of earth is 10 m/s2. [ans: 160 J]

17. Taking the moon’s orbit around earth to be r and mass of earth 81 times the mass of the moon. Find the position of the point from the earth, where the net gravitational field is zero. [ans: 0.9r]

18. What is the minimum energy required to launch a satellite of mass m from the surface of earth of mass M,radius R in a circular orbit at an altitude 2R.

PROPERTIES OF BULK MATTER

1. Which is more elastic iron or rubber?2. A 20 kg load is hung from the end of a spring. The spring then stretches a distance of 10 cm. if 40 kg load is

hung from the spring, how much will the spring stretch? [ ans: 20 cm]

3. Why do spring balances show wrong readings after they have been used for a long time?4. The elastic limit of earth’s material is 3× 108 N/m2 and the density of rock material is 3 × 103 kg/m3. What

is the maximum height a mountain on earth can possess? [ 104 m]5. A force of 1000 N stretches the length of a hanging wire by 1 mm. what force is required to stretch a wire

of the same material and length but having four times the diameter by 1 mm? [ ans: 16000N]6. The breaking force for a wire is F. what will be the breaking force for (i) two parallel wires of the same size

(ii) a single wire of double thickness? [ ans: (i) 2F (ii) 4F]7. A cable is cut to half of its original length. What will be the effect on the increase in its length under a given

load?8. A wire is replaced by another wire of the same length and material but of twice diameter. How does this

effect elongation under a given load?9. A wire stretches by a certain amount under a load. If the load and radius are both increased to four times,

find the stretch caused in the wire.10. A heavy wire is suspended from a roof but no weight is attached to its lower end. Is it under stress?

HYDROSTATICS11. Why does not the pressure of atmosphere break window?12. Can water be used to make a barometer?13. What is the maximum height to which water could be drunk through a straw?14. Does Archimede’s principle tell us that if an immersed object displaces 10N of fluid, then buoyant force on

the object is 10 N?15. A 1 litre container completely filled with water. A body has a mass of 11.3 kg and is completely submerged

in water. What is the buoyant force acting on it?16. A wooden cylinder floats in water in a vessel with its axis vertical. How will the level of water in the vessel

change if the cylinder floats with its axis horizontal?17. Why is gas not used in a hydraulic lift?18. A drop of oil placed on the surface of water spreads out, but a drop of water placed on oil contracts. Why?19. Why are falling rain drops spherical?20. What determines the shape of the meniscus?21. Three vessels of different shapes are filled with water to the same height. The base area of the vessels is

the same. Will the force on the base of vessels be the same?22. A tank 5 m high is half filled with water and then filled to the top with oil of density 0.85 g/cm3. What is the

pressure at the bottom due to these liquids? [ ans: 45.3 × 103 Nm-2]23. The pressure of water at the ground level is 196000 Nm-2 and the third floor is 98000 Nm-2. What is the

height of third floor? [ ans: 10 m]24. What will be the height of barometer? [ ans: 10.3 m]25. A small iron needle sinks in water while a large iron ship floats. Why?26. What is the work done against surface tension in blowing a soap bubble from a radius 10 cm to 20 cm? the

surface tension of soap solution is 25× 103 Nm-1[ ans: 6ߨ × 10-3 J]27. A body floats with one third of its volume outside water and ¾ of its volume outside another liquid. What is

the density of the other liquid?28. Water rises in a capillary tube while mercury falls in the same tube. Why?

HYDRODYNAMICS

29. The diameter of ball A is half that of ball B. what will be their ratio of terminal velocities in water? [ans: ¼]30. What is the principle on which continuity equation is based?31. What is the principle on which Bernoulli’s theorem is based?32. Why does a flag flutter when strong winds are blowing on a certain day?33. If two ships are moving parallel and close to each other, they experience an attractive force. Why?34. Show that Reynolds number is dimensionless.35. Water is coming out of a hole made in the wall of tank filled with fresh water. If the size of the hole is

increased, will the velocity of efflux of water change?36. Water flows faster than honey. Why?37. Two stones with radii in the ratio of 1:2 fall from a great height through the atmosphere. What is the ratio

of their terminal velocities? [ ans: 1:4]38. Why rain drops under gravity do not acquire very high velocity?39. Why do air bubbles in water rise up?40. The velocity of a small ball of mass m and density ϱ when dropped in a container filled with glycerin

becomes constant after some time. If the density of glycerin is σ, what is viscous force acting on the ball?41. Water flowing through a cylindrical pipe has radius 2R at point A and radius R at point B farther along the

direction of flow. If the velocity of water at point A is v, then what is its velocity at point B?42. Air streams horizontally pass an air plane. The speed over the top surface is 60 m/s and that under the

bottom surface is 45 m/s. what is the difference in pressure? Density of air = 1.29 kg m-3 [ ans: 1018 Nm-2]

HEAT

1. What is absolute zero?2. A hole of 1 cm in diameter is drilled through a piece of steel at 20°C. what happens to the diameter of the

hole as the steel is heated to 100° C?3. Why do solids expand when their temperature is raised?4. Which has a higher specific heat, water or sand?5. Why is water a very useful cooling agent?6. Can a gas be liquefied at any temperature by increasing pressure alone?7. Why is latent heat of vaporization of a material greater than that of latent heat of fusion?8. A sheet of brass is 50 cm long and 10 cm broad at 0°C. the surface area increases by 1.9 cm2 at 100°C. what

is the coefficient of linear expansion of brass?9. The volume of a block of metal changes by 0.12% when it is heated through 20°C. what is the coefficient of

linear expansion of metal?10. 540 g of ice at 0°C is mixed with 540 g at 80°C. what is the final temperature the mixture?11. What is the mode of heat transfer through a solid?12. At what temperature does a body stop radiating?13. A body is at 0°C. is it radiating heat?14. A body radiates 5 W at a temperature of 400 K. if the temperature is increased to 1200 K, what is the

radiated power?

15. Three stars A, B and C appears as green, red and blue respectively. Which star has minimum temperature?16. 100 J of energy is added to a system that does 40 J of external work. By how much the thermal energy of

the system is raised?17. What would be the efficiency of an engine if its hot reservoir and exhaust were at the same temperature-

say 400 K?18. Is it possible that there is a change in the temperature of a body without giving/taking heat to/from it?19. Absolute zero is not the temperature of zero energy. Explain.20. What happen to the internal energy of a gas during (i) isothermal expansion (ii) adiabatic expansion?21. Heat engine with 100% efficiency is only a theoretical possibility. Explain.22. What is the specific heat in an isothermal change?23. What is the specific heat in an adiabatic change?24. A carnot engine absorbs 1000 J of heat energy from a reservoir at 127°C and rejects 600 J of heat energy

during each cycle. Calculate (i) temperature of sink (ii) useful workdone per cycle.25. A carnot engine take steam at 200°C and after doing work exhaust it to a sink at 100°C. calculate the % of

heat which is utilized for doing useful work.26. What is the shape of P-V diagram for (i) isobaric process (ii) isochoric process?27. Why is the conversion of heat into work not possible without a sink at lower temperature?28. What is the efficiency of a carnot engine operating with reservoir and sink temperature to 100°C and -23°C

respectively

JMSS CLASS XI WORK SHEET POL SCI · JMSS WORK SHEET CLASS 11Th BIOLOGY DEC 2019 Q1-Why are the...

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