PHYSICS CHEMISTRY MATHEMATICS€¦ · 06.07.2020 · CHEMISTRY PRESENT WEEK 50%: Equivalent...

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Class: SZ1-A JEE-MAIN MODEL Date: 07-06-2020

Time: 3hrs WTM-19 Max. Marks: 300

IMPORTANT INSTRUCTIONS

PHYSICS

Section Question Type +Ve

Marks - Ve

Marks No.of

Qs Total marks

Sec – I(Q.N : 1 – 20) Questions with Single Answer Type 4 -1 20 80

Sec – II(Q.N : 21 – 25) Questions with Numerical Answer Type

(+/ - Decimal Numbers) 4 0 5 20

Total 25 100

CHEMISTRY

Section Question Type +Ve

Marks - Ve

Marks No.of

Qs Total marks




Total 25 100

MATHEMATICS Section Question Type

+Ve Marks

- Ve Marks

No.of Qs

Total marks




Total 25 100

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SZ1-A_JEE-MAIN_WTM-19_QP_Exam.Dt.07-06-2020

Narayana CO Schools

2

–:SZ1-A Jee-Main Exam Syllabus (07-06-20):–

TOPICS

PHYSICS

PRESENT WEEK 50%:

Interference in Transverse Waves, Reflection of Waves of Fixed end and

Free End Reflection and Refraction of Wave, Standing Waves,

Characteristics of Stationary Waves , Standing Waves in a String Fixed

at Both Ends String Fixed at one end and Free from other end, Resonance,

Sonometer and Meldes Apparatus , Applications.

PREVIOUS WEEK 50%:

Different Types of Thermodynamic Processes (Isochoric, Isobaric,

Isothermal, Adiabatic), Free Expansion of a Gas, Polytropic Process

(Standard Processes as a Special Case of Polytropic Process, Indicator

Diagram For A Polytropic Process), Second Law of Thermodynamics,

Reversible Processes, Heat Engines, Thermal Efficiency of a Heat Engine,

Refrigerators, Statement of Second Law of Thermodynamics, Carnot

Cycle, Entropy, Graphs.

TOPICS

CHEMISTRY

PRESENT WEEK 50%:

Equivalent conductance, Factors effecting conductance, Effect of dilution,

Debye - Huckel - Onsager equation, Kohlrausch's law, Calculations on

Conductance based on Kohlrausch's law.

PREVIOUS WEEK 50%:

Faraday 's second law of electrolysis, Electronic and electrolytic

conductors, Conductance, Conductivity of Ionic solutions, Molar

conductance.

TOPICS

MATHS

PRESENT WEEK 50%:

Equation of normal ( both forms) properties of normal for parabola,

Number of normals passing through given point, Co-normal points, circle

through co-normal points, Reflection property, Miscelleneous problems.

PREVIOUS WEEK 50%:

PARABOLA: Equation of chord Joining two points( both cartesian and

parametric form), Properties of focal chord. Equation of tangent and

condition for tangency. Chord of contact, chord having midpoint (x1, y1,

Related problems.


Narayana CO Schools

3

SECTION-I (1 TO 20)

(Single Answer Type)

This section contains 20 multiple choice questions. Each question has 4 options

(1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be correct. Marking scheme: +4 for correct answer, 0 if not attempted and -1 in all other cases.

01. If heat is supplied to an ideal gas in an isothermal process,

1) the internal energy of the gas will increases

2) the gas will do positive work

3) the gas will do negative work

4) the said process is not possible

02. The internal energy of an ideal gas decreases by the same amount

as the work done by the system

1) The process must be adiabatic

2) The process must be isothermal

3) The process must be isobaric

4) The process may be adiabatic

03. Consider the processes A and B shown in figure. It is possible that

1) Both the processes are isothermal

2) Both the processes are adiabatic

3) A is isothermal and B is adiabatic

4) A is adiabatic and B is isothermal

04. Three samples A.B and C of the same gas ( )1.5 = have equal

volumes and temperatures. The volume of each sample is doubled,

the process being isothermal for A, adiabatic for B and isobaric for

C. If the final pressures are equal for the three samples, find the

ratio of the initial pressures.

1) 2 : 2 2 : 1 2) 2 : 1 : 2 3) 2 : 2 2 : 1 4) 2 : 2 : 1


Narayana CO Schools

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05. P–T diagram is shown in given figure. Choose the correct V–T

diagram.

1) 2) 3) 4)

06. The figure shows the P V− plot of an ideal gas taken through a cycle

ABCDA. The part ABC is a semi-circle and CDA is half of an ellipse.

A) The process during the path A→B is isothermal

B) Work done during the path B→C→D is zero

C) Work done during the path A→B→C is zero

D) Positive work is done by the gas in the cycle ABCDA

Then choose incorrect options

1) BCD 2) ABD 3) ABC 4) ACD

07. An ideal gas is taken from initial state ( ),i iV T to a final state ( ),f fV T

by an unspecified process

A) In an isothermal process s is lnf

i

VnR

V

B) In an isochoric process s is lnf

v

i

TnC

T

C) In an isothermal process s is ln i

f

VR

V

D) In an isochoric process s is nR ln i

f

T

T

Then choose the correct options.

1) AB 2) BC 3) CD 4) AD


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08. One mole of a monatomic ideal gas is taken through the cycle

shown in the figure.

A→B Adiabatic, expansion

B→C Cooling at constant volume

C→D Adiabatic compression

D→A Heating at constant volume

The pressure and temperature at A, B etc. are denoted by

, ,.....; , .....,A B A BP P T T etc respectively.

Given that ( )1000 , 2 / 3A B AT K P P= = and ( )1/ 3 .C AP P= .

Given that ( )2/5

2/3 0.85= . The work done by the gas in process A→B

is ________Joule.

1) 1900 2) 1870 3) 1670 4) 1580

09. Equation of a plane progressive wave is given by . sin .x

y t

= −

0 6 22

On reflection from the denser medium its amplitude becomes 2/3

of the amplitude of the incident wave. The equation of the reflected

wave is

1) . sinx

y t

= +

0 6 22

2) . sinx

y t

= − +

0 4 22

3) . sinx

y t

= +

0 4 22

4) . sinx

y t

= − −

0 4 22

10. The interference phenomenon can take place__________

1) in transverse wave 2) in longitudinal wave

3) in Electromagnetic waves 4) in all waves


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11. A sonometer wire supports a 4 kg load and vibrates in fundamental

mode with a tuning fork of frequency 416 Hz. The length of the wire

between the bridges is now doubled. In order to maintain

fundamental mode, the load should be changed to

1) 1 kg 2) 2 kg 3) 8 kg 4) 16 kg

12. Standing waves can be produced. Choose correct options.

A) On a string clamped at both ends

B) On a string clamped at one end and free at the other

C) When incident wave gets reflected from a wall

D)When two identical waves with a phase difference of are moving

in the same direction

1) AB 2) ABC 3) CD 4) BCD

13. A standing wave is produced on a string clamped at one end and

free at the other. The length of the string

1) Must be an integral multiple of 4

2) Must be an integral multiple of 2

3) Must be an integral multiple of

4) May be an integral multiple of 2

14. The displacement of a string is given by

( ) ( ), . sin cos ,x

y x t t

=

20 06 120

3 where x and y are in metre and t

in second. The length of the string is 1.5m and its mass is

. kg− 23 0 10 .

1) It represents a progressive wave of frequency 60Hz

2) It represents a stationary wave of frequency 120Hz

3) It is the result superposition of two waves of wavelength 3m,

frequency 60Hz

4) Amplitude of this wave is constant


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15. In a stationary wave, then choose correct options.

A) all the particles of the medium vibrate in phase

B) all the antinodes vibrate in phase

C) The alternate antinodes vibrate in phase

D) all the particles between consecutive nodes vibrate in phase

1) AB 2) CD 3) AC 4) AD

16. A sonometer wire if length l vibrates in fundamental mode when

excited by a tuning fork of frequency 416 Hz. If the length is

doubled other things same, the string will

1) Vibrate with a frequency of 416 Hz.

2) Vibrate with a frequency of 208 Hz

3) Vibrate with a frequency of 832 Hz

4) Stop vibrating

17. A sonometer wire of length L is plucked at a distance L/8 from one

end then it vibrates with a minimum frequency n. If the same wire

plucked at a distance L/6 from another end the minimum

frequency with which it vibrates is

1) n3

2 2) n

3

2 3)

n3

4 4)

n4

2

18. A long wire PQR is made by joining two wires PQ and QR of equal

radii. PQ has length 4.8m and mass 0.06kg. QR has length 2.56m

and mass 0.2kg. The wire PQR is under a tension of 80N. A

sinusoidal wave pulse of amplitude 3.5cm is sent along the wire PQ

from the end. (No power is dissipated during the propagation of the

wave pulse), then choose incorrect option.

1) The time taken by the wave pulse to reach the other end R of

the wire is 0.14 sec

2) The amplitude of the reflected wave pulses after the incident

wave pulse crosses the joint Q is 1.5 cm.

3) The amplitude of the transmitted wave pulses after the incident

wave pulse crosses the joint Q is 2 cm.

4) The time taken by the pulse to reach the other end R of the wire

is 0.24 sec


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19. A wave pulse on a string has the dimension shown in figure. The

wave speed is 1 /v cm s= . If point O is a free end. The shape of wave

at time 3t s= is.

1)

2)

3)

4)

20. The transverse displacement ( ),y x t of a wave on a string is given

by ( )( )2 2 2

,tax bt abxt

y x e− + +

= . This represents a

1) wave moving in +x direction with speed a

b

2) wave moving in –x direction with speed b

a

3) standing wave of frequency b

4) standing wave of frequency 1

b

SECTION-II (21 TO 25)

(Numerical Value Answer Type)

This section contains 5 questions. The answer to each question is a Numerical

values comprising of positive or negative decimal numbers (place value ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -

123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.

21. An ideal gas is taken through a cyclic thermodynamic process

through four steps. The amounts of heat involved in these steps are

1 5960 ,Q J= 2 35585 , 2908Q J Q J= − = − and 4 3645Q J= , respectively. The

corresponding quantities of work involved are 1 2200 ,W J=

2 825 ,W J= − 3 1100W J= − and 4W respectively. The efficiency of the

cycle is nearly 5 x . Then the value of x is…….


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22. P – V diagram of cyclic process is given. The process is performed

on one mole of monatomic gas. Then the efficiency of the cycle (in

percentage) is 9.375 x . Then the value of x is…….

23. One mole of oxygen undergoes a cyclic process in which volume of

the gas changes 10 times within the cycle as shown in figure. The

process AB and CD are adiabatic while processes BC and DA are

isochoric. The efficiency of the process is ( )10 %x . Then the value

of x is___ 0.4

10.4

10

=

24. The number of correct statements are

I) Change in internal energy (du) is path independent and depends

only on the initial and final states of the system

II) The value of specific heat in the isothermal process is infinity ()

III) The value of specific heat in the isothermal process is (0)

IV) The value of specific heat in the adiabatic process is zero

25. A guitar string is 90cm long and has a fundamental frequency of

124 Hz. It is pressed at a distance 10x cm from one end to produce

a fundamental frequency of 186Hz. Then the value of x is


Narayana CO Schools

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SECTION-I (26 TO 45)


This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be

correct. Marking scheme: +4 for correct answer, 0 if not attempted and -1 in all other cases.

26. Transfer of matter takes place in

1) Electronic conductors 2) Electrolytic conductors

3) Both (1) & (2) 4) Neither (1) nor (2)

27. Pure water does not conduct electricity because it is

1) Neutral 2) Readily decomposed

3) Almost unionized 4) Completely ionised

28. Why the conductivity of a solution decreases with dilution?

1) The number of ions present per unit volume increases

2) The number of ions present per unit volume decreases

3) The number of ions present per unit volume does not change

4) Both (1) & (3)

29. Which of the following solid is an electronic conductor?

1) NaCl 2) Diamond 3) CuS 4) KCl

30. What is the ratio of weights of Ag and Al deposited at the respective

cathodes when the same current is passed for same period through

aqueous 3AgNO and ( )2 4 3Al SO solutions.

1) 6:1 2) 1:6 3) 1:12 4) 12:1

31. The conductivity of 0.1 m KCl solution is 1.29 sm-1. If the resistance

of the cell filled with 0.1M KCl is 100 ohm. Then the cell constant

is.

1) 129 cm-1 2) 1.29 cm-1

3) 12.9 cm-1 4) 10.9cm-1

32. Which of the following aqueous solutions will conduct an electric

current quite well?

1) Sugar 2) Glycerol 3) Pure water 4) HCl


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33. The cell constant is the product of resistance and

1) conductance 2) molar conductance

3) specific conductance 4) specific resistance

34. When the same quantity of electricity is passed through the

solution of different electrolytes in series, the amount of product

obtained is proportional to their

1) Atomic weights 2) Chemical Equivalent weights

3) Gram molecular mass 4) Gram atomic ions

35. Conductivity of an electrolytic solution depends on ____________.

1) Nature of electrolyte

2) Concentration of electrolyte.

3) Both (1) & (2)

4) Distance between the electrodes.

36. Which of the following factors can effect the conductance?

1) Nature of electrolyte 2) Nature of the solvent

3) Temperature 4) All of these

37. The cell constant of a conductivity cell _____________.

1) changes with change of electrolyte.

2) changes with change of concentration of electrolyte.

3) changes with temperature of electrolyte.

4) remains constant for a cell.

38. The increase in equivalent conductance of an electrolyte solution

with dilution is due to

1) Decrease in degree of ionisation of the electrolyte

2) Increase in degree of association of the electrolyte

3) Decrease in degree of association of the electrolyte

4) Increase in degree of ionisation of the electrolyte


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39. The unit of equivalent conductivity is

1) ohm cm 2) 1 2 1ohm cm ( gm equivalent )− −

3) ohm 2cm ( gm equivalent ) 4) 2Scm−

40. S.I unit of conductance is

1) 1S m− 2) ohms 3) Siemens 4) 1M s−

41. Faraday’s laws of electrolysis are related to the

1) Molecular mass of the electrolyte

2) Equivalent weight of the cation /anion

3) Atomic weight of the electrolyte

4) Atomic number of the cation/anion

42. The Kohlrausch law is related to

1) Conductance of ions at infinite dilution

2) Independent migration of ions

3) Both (1) and (2)

4) Neither (1) and (2)

43. According to Kohlrausch law, the limiting value of molar

conductance of an electrolyte 2A B is

1) A B + 2) A B

−

3) 1

2A B + 4) 2 A B

+

44. In aqueous solution, strong electrolytes

1) Are partially ionized 2) Do not ionise

3) Ionise almost completely 4) Form polymers


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45. When a solution of an electrolyte is heated the conductance of the

solution

1) Increases because of the electrolyte conducts better

2) Decreases because of the increased heat

3) Decreases because of the dissociation of the electrolyte is

suppressed

4) Increases because the electrolyte is dissociated more



This section contains 5 questions. The answer to each question is a Numerical values comprising of positive or negative decimal numbers (place value

ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.

46. Given 10 5 50 1 0l /a . cm ,R ohm,N . .−= = = The equivalent

conductance of the electrolytic cell is

47. If equivalent conductance of 1M benzoic acid is 1 212 8. ohm cm− and

if the conductance of benzoate ion and H+ ion are 42 and

1 2288 42. ohm cm− respectively. its degree of dissociation (%) is

48. If the specific conductance and conductance of a solution are same,

then its cell constant is equal to

49. The equivalent conductance of a 1 N solution of an electrolyte is

nearly 310x . Then the value of x is

50. The equivalent conductivity of 1M 2 4H SO solution is 210y . If

specific conductance is 2 126 10 Scm− − . Then the value of y is


Narayana CO Schools

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SECTION-I (51 TO 70)


This section contains 20 multiple choice questions. Each question has 4 options (1), (2), (3) and (4) for its answer, out of which ONLY ONE option can be

correct. Marking scheme: +4 for correct answer, 0 if not attempted and -1 in all other cases.

51. If ( )1 1,x y is the point of contact of the tangent parallel to the line

4 3 0y x− + = and touching the parabola 2 7 ,y x= then 1 1x y+ is equal

to

1) 40 2) 28 3) 42 4) 32

52. The equation of the common tangent touching the circle

( )2 23 9x y− + = and the parabola 2 4y x= above the x-axis is

1) 3 3 1y x= + 2) ( )3 3y x= − +

3) 3 3y x= + 4) ( )3 3 1y x= − +

53. The point of intersection of the tangents drawn at the ends of the

latus rectum of the parabola 2 4y x= is

1) ( )1,0− 2) ( )1,1− 3) ( )1,2− 4) ( )1, 2− −

54. The angle between the tangents drawn from the point ( )1,4 to the

parabola 2 4y x= is

1) 6

2)

4

3)

3

4)

2

55. The straight line ( ), 0y mx c m= + touches the parabola ( )2 8 2 .y x= +

Then the minimum value taken by ' 'c is

1) 6 2) 8 3) 12 4) 4

56. Number of tangents drawn from ( )2, 3− − to the parabola 22 9y x= is

1) 3 2) 0 3) 1 4) 2


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57. Length of the chord of contact of ( )2,5 with respect to 2 8y x= is

1) 3 41

2 2)

2 17

3 3)

7 3

5 4)

5 3

7

58. If the line 3y x c= + touches the parabola 2 12y x= at point P, then

the equation of the tangent at point Q where PQ is a focal chord is

1) 3 27 0x y− + = 2) 3 27 0x y+ − =

3) 3 27 0x y+ + = 4) 3 27 0x y+ + =

59. If PSQ is the focal chord of the parabola 2 8y x= such that 6.SP =

Then the length of SQ is

1) 6 2) 4 3) 3 4) 5

60. A circle of radius 4, drawn on a chord of the parabola 2 8y x= as

diameter, touches the axis of the parabola. Then the slope of the

chord is

1) 1

2 2)

3

4 3) 1 4) 2

61. The length of normal chord of parabola which subtends an angle of

090 at vertex of parabola 2 4y x= is

1) 5 5 2) 6 5 3) 85 16 2+ 4) 6 3

62. The number of distinct normals which can be drawn to the parabola

( ) ( )2

1 4 1y x− = − from the point ( ),1 is 3. Then the possible value of

is

1) 2 2) 3 3) 4 4) 1

63. ( )3,2P − is one end of the focal chord PQ of the parabola

2 4 4 0.y x y+ + = Then the slope of the normal at Q is

1) 1

2− 2) 2 3)

1

2 4) 2−


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64. A ray of light moving parallel to x-axis gets reflected from parabolic

mirror whose equation is ( ) ( )2

2 4 1 .y x− = + The point on axis of

parabola through which the ray after reflection passes is

1) ( )1,2− 2) ( )1,3− 3) ( )2, 2 4) ( )0, 2

65. P and Q are two distinct points on the parabola 2 4y x= with

parameters t and 1t respectively. If the normal at P passes through

Q. Then the minimum value of 2

1t is

1) 4 2) 6 3) 8 4) 2

66. If normal is drawn to 2 12y x= making an angle 045 with the axis of

the parabola, then the foot of the normal is

1) ( )3,8 2) ( )3, 6− 3) ( )12, 12− 4) ( )8, 8−

67. A ray of light travels along a line 4y = and strikes the surface of a

curve ( )2 4 ,y x y= + then equation of the line along which reflected

ray travels is

1) 0x = 2) 2x = 3) 4x y+ = 4) 2 4x y+ =

68. From the point ( )15,12 , three normals are drawn to the parabola

2 4 ,y x= then centroid of the triangle formed by three co-normal

points is

1) 16

,03

2) ( )4,0 3) 26

,03

4) ( )6,0

69. The shortest distance between the parabolas 2 4y x= and 2 2 6y x= −

is

1) 2 2) 5 3) 3 4) 7

70. If x y k+ = is normal to 2 12y x= then k is

1) 3 2) 9 3) – 9 4) – 3


Narayana CO Schools

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This section contains 5 questions. The answer to each question is a Numerical

values comprising of positive or negative decimal numbers (place value

ranging from Thousands Place to Hundredths Place). Eg: 1234.56, 123.45, -123.45, -1234.56, -0.12, 0.12 etc. Marking scheme: +4 for correct answer, 0 in all other cases.

71. The equation of the line touching both the parabolas 2 4y x= and

2 32x y= − is 0,ax by c+ + = then the value of a b c+ + is

72. If the line 2 3 0x y k+ + = touches the parabola 2 108 ,x y= then k is

equal to

73. The locus of the mid points of chords of the parabola 2 16y x= which

passes through the vertex is a parabola whose length of latus

rectum is equal to

74. If the line 6x y+ = is a normal to the parabola 2 8y x= at point ( ), ,a b

then the value of a b+ is equal to

75. If the normals at the points P,Q,R on the parabola 2 4y x= meet at

the point ( ),h k and centroid and orthocentre of triangle PQR are

( ) ( )1 1 2 2, , ,x y x y respectively. Then the value of 1 23 2x x− is equal to

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PHYSICS CHEMISTRY MATHEMATICS€¦ · 06.07.2020 · CHEMISTRY PRESENT WEEK 50%: Equivalent...

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