Physics 2004 Set 1

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Physics 2004 Set 1 Close

Subjective Test (i) All questions are compulsory.(ii) There are 30questions in total.

Questions 1to 8carry one mark each,

Questions9 to 18carry two marks each,

Question 19to27 carry three marks each and

Question28 to 30 carry five marks each.

(iii) There is no overall choice. However, an internal choice has been provided.(iv) herever necessary, the dia!rams drawn should be neat and properly labelled.

(v) "se of calculators is not permitted.

Question 1 ( 1.0 marks)

Why is shortwave band used for long distance radio broadcast?


Two metals A and B have work functions 2 eV and eV res!ectively" Which metal has lower

threshold wavelength?


#raw the voltage$current characteristic of a %ener diode"


A solenoid with an iron core and a bulb is connected to a d"c" source" &ow does the brightness of

the bulb change when the iron core is removed from the solenoid?


'eak value of e"m"f of an a"c" source isE" What is its r"m"s value?

Question 6 ( 1.0 marks)Question 7 ( 1.0 marks)Question 8 ( 1.0 marks)


An electric di!ole of length cm* when !laced with its a+is making an angle of ,- with a

uniform electric field* e+!eriences a tor.ue of /m" 0alculate the (i) magnitude of the

electric field (ii) !otential energy of the di!ole* if the di!ole has charges of 1 n0"

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3+!lain how the resistivity of a conductor de!ends u!on (i) number density 4n5 of free electrons*

and (ii) rela+ation time 465"


Two long !arallel straight wires 7 and 8 se!arated by a distance of cm in air carry currents of

9 A and A res!ectively in o!!osite directions" 0alculate the magnitude and direction of theforce on a 2 cm length of the wire 8"

Or

A circular coil of 9 turns* radius 9 cm carries a current of A" :t is sus!ended vertically in auniform hori%ontal magnetic field of " T* the field lines making an angle of ,- with the !lane

of the coil" 0alculate the magnitude of the tor.ue that must be a!!lied on it to !revent it from

turning"


A bar magnet ; is dro!!ed so that it falls vertically through the coil 0" The gra!h obtained forvoltage !roduced across the coil vs" time is shown in figure (b)"

(i) 3+!lain the sha!e of the gra!h"

(ii) Why is the negative !eak longer than the !ositive !eak?


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T"V" tower has a height of m at a given !lace" 0alculate as coverage range* if the radius of

the earth is , km"


#raw a ray diagram of an astronomical telesco!e in the normal ad gate" #raw the out!ut wave form for in!ut wave forms A and Bfor this gate"


@tate =auss5 theorem in electrostatics" sing this theorem* derive an e+!ression for the electric

field intensity due to an infinite !lane sheet of charge density 0Cm 2"


A 9 DE ca!acitor is charged by a F V d"c" su!!ly and then connected across an uncharged

DE ca!acitor" 0alculate (i) the final !otential difference across the combination* and (ii) the initialand final energies" &ow will you account for the difference in energy?

Question 18 ( 2.0 marks)Question 19 ( 3.0 marks)

The circuit diagram shows the use of a !otentiometer to measure a small emf!roduced by athermocou!le connected betweenXand Y" The cell C* of emf2 V* has negligible internal

resistance" The !otentiometer wirePQis 9" m long and has a resistance of G" The balance

!oint @ is found to be mm fromP" Calculate the value of emfV,generated by thethermocou!le"


sing Biot$@avart law* deduce an e+!ression for the magnetic field on the a+is of a circularcurrent loo!" #raw the magnetic field lines due to a circular current carrying loo!"

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Or

A hydrogen ion of mass 4m5 and charge 4q5 travels with a s!eed 4v5 in a circle of radius 4r5 in a

magnetic field of intensity 4B5" Write the e.uation in terms of these .uantities only* relating theforce on the ion to the re.uired centri!etal force" &ence derive an e+!ression for its time"


A uniform magnetic field gets modified as shown below* when two s!ecimens 7 and 8 are

!laced in it"

(i) :dentify the two s!ecimens 7 and 8"

(ii) @tate the reason for the behaviour of the field lines in 7 and 8"


Two narrow slits are illuminated by a single monochromatic source" /ame the !attern obtained

on the screen" >ne of the slits is now com!letely covered" What is the name of the !attern nowobtained on the screen? #raw intensity !attern obtained in the two cases" Also write two

differences between the !atterns obtained in the above two cases"


ed light* however bright it is* cannot !roduce the emission of electrons from a clean %incsurface" But even weak ultraviolet radiation can do so" Why?

7$rays of wavelength 465 fall on !hotosensitive surface* emitting electrons" Assuming that the

work function of the surface can be neglected* !rove that the de$Broglie wavelength of electrons

emitted will be "


#efine the termsH 4half$life !eriod5 and 4decay constant5 of a radioactive sam!le" #erive the

relation between these terms"


When a deuteron of mass 2"99 u and negligible kinetic energy is absorbed by a lithium

nucleus of mass ,"9 u* the com!ound nucleus disintegrates s!ontaneously into two al!ha!articles* each of mass "2, u" 0alculate the energy in

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What is meant by 4remote sensing5? Briefly e+!lain how it is carried out" ;ention any two

a!!lications of remote sensing"


What is an o!tical detector? @tate its three essential characteristics" /ame the factor which

decides how good a detector is"


With the hel! of a labelled circuit diagram* e+!lain how an n-p-ntransistor can be used as anam!lifier in common emitter configuration" 3+!lain how the in!ut and out!ut voltages are out of

!hase by 9- for a common$emitter transistor am!lifier"

Or

Eor an n-p-ntransistor in the common$emitter configuration* draw a labelled circuit diagram of

an arrangement for measuring the collector current as a function of collector$emitter voltage for

at least two different values of base current" #raw the sha!e of the curves obtained" #efine thetermsH

(i) out!ut resistance and (ii) 4current am!lification factor5"


What is induced emf? Write Earaday5s law of electromagnetic induction" 3+!ress it

mathematically"

A conducting rod of length 4l5 with one end !ivoted* is rotated with a uniform angular s!eed 4M5in a vertical !lane* normal to a uniform magnetic field 4B5" #educe an e+!ression for the emf

induced in this rod"

:n :ndia* domestic !ower su!!ly is at 22 V* &%* while in @A it is 99 V* &%" =ive one

advantage and one disadvantage of 22 V su!!ly over 99 V su!!ly"


0om!lete the !ath of incident ray of light* showing the formation of a real image"

&ence derive the relation connecting ob

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Physics 2004 Set 2 CloseSubjective Test

These are aitional set 2 !uestions.


T"o metals # an $ ha%e "ork &un'tions 4 e an 10 e rese'ti%el*. +hi'h metal has hi,herthreshol "a%elen,th-

olution/

There&ore

etal # "ith lo"er "ork &un'tion has hi,her threshol "a%elen,th.


ra" a ra* ia,ram o& an astronomi'al teles'oe in the near oint austment. +rite o"n theeression &or its ma,ni&*in, o"er.

olution/


Gi%en is the lo,i' s*mol &or an # ,ate. ra" the outut "a%e&orm &or # ,ate &or inut "a%e&orms # an $.

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olution/

The lo,i' s*mol o& # ,ate is ,i%en elo"/


T"o lon, arallel strai,ht "ires an searate * a istan'e o& 2.5 'm in air 'arr* 'urrents o& 5 #an 2.5 # rese'ti%el* in oosite ire'tions. Cal'ulate the ma,nitue an ire'tion o& the &or'e on a10 'm len,th o& the "ire .

olution/

et the &or'e on a 10 'm len,th o& "ire e F

:or'e er unit len,th is ,i%en * the &ollo"in, e!uation.

+here

l#en,th o& the "ires

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Ia#Current &lo"in, throu,h one "ire

Ib#Current &lo"in, throu,h the other "ire

r#istan'e et"een the "ires

The "ires an 'arr* 'urrents in oosite ire'tions. o the &or'e et"een them "ill e reulsi%e.There&ore the &or'e on "ire "ill e ire'te to"ars the ri,ht ire'tion.


;lain "ith the hel o& ,rah the %ariation o& 'onu'ti%it* "ith temerature &or a metalli' 'onu'tor.

olution/

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Or

# 'ir'ular 'oil o& 200 turns raius 5 'm 'arries a 'urrent o& 2.5 #. @t is susene %erti'all* in auni&orm horiAontal ma,neti' &iel o& 0.25 T "ith the lane o& the 'oil makin, an an,le o& 60> "ith the&iel lines. Cal'ulate the ma,nitue o& the tor!ue that must e alie on it to re%ent it &rom turnin,.

olution/

I1B Current throu,h "ire

I2B Current throu,h "ire

l B en,th

rB istan'e et"een the t"o "ires

r FB 10D5

The ire'tion o& the &or'e is ereni'ular to the len,th o& "ire an a'ts a"a* &rom (reulsion).

Or

Eere numer o& turns o& 'oil nB 200

D 60> B 30>

= B BInAsin

= B 200 2.5 0.25 (3.14 .05 .05) sin 30>

r = B 0.49 m

Galleries


(i) All questions are compulsory.
http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/Ozrd8IWb3mQLM4OrrgFj5Q!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/Ozrd8IWb3mQLM4OrrgFj5Q!!

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(ii) There are 30questions in total.

Questions 1to 8carry one mark each,

Questions9 to 18carry two marks each,

Question 19to27 carry three marks each and

Question28 to 30 carry five marks each.

(iii) There is no overall choice. However, an internal choice has been provided.(iv) herever necessary, the dia!rams drawn should be neat and properly labelled.

(v) "se of calculators is not permitted.


Why is shortwave band used for long distance radio broadcast?

olution/

The shortwave band radio$waves are used for long distance broadcast because they are easily

reflected back to earth by the ionos!here"


Two metals A and B have work functions 2 eV and eV res!ectively" Which metal has lower

threshold wavelength?

olution/

i"e"*

Therefore* metal B with higher work function has lower threshold wavelength"


#raw the voltage$current characteristic of a %ener diode"

olution/

V$: characteristic for a %ener diode is given belowH

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A solenoid with an iron core and a bulb is connected to a d"c" source" &ow does the brightness ofthe bulb change when the iron core is removed from the solenoid?

olution/

The brightness of the bulb remains unchanged because inductive reactance in a d"c" circuit is

%ero"


'eak value of e"m"f of an a"c" source isE" What is its r"m"s value?

olution/

Question 6 ( 1.0 marks)olution/

OUT OF CURRENT SYLLABUS





Section B


An electric di!ole of length cm* when !laced with its a+is making an angle of ,- with a

uniform electric field* e+!eriences a tor.ue of /m" 0alculate the (i) magnitude of the

electric field (ii) !otential energy of the di!ole* if the di!ole has charges of 1 n0"

olution/

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(i) &ere* length of the di!ole* 2aI cm I J 9K2m

Tor.ue*N I /m

0harge* qI J 9KO0

N I !3 sinP I (qJ 2a) JEJ sinP

>r* I J 9KOJ J 9K2JEJ sin ,-

>r*

>r*EI 2" J 99/0K9

(ii) 'otential energy*

>r* UI K J 9KO J 2 J 9K J 2" J 99cos ,-

>r* UI K 2 Q


3+!lain how the resistivity of a conductor de!ends u!on (i) number density 4n5 of free electrons*and (ii) rela+ation time 465"

olution/

esistivity of a conductor is given by the formula*

Where* mI ;ass of electron

nI /umber density of free electrons

eI 0harge on an electron

6 I ela+ation time

(i) :t is evident from the formula given by e.uation (i) that the resistivity of a conductor is

inversely !ro!ortional to the number density 4n5 of free electrons"

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(ii) The resistivity of a conductor is inversely !ro!ortional to the rela+ation time 6"


Two long !arallel straight wires 7 and 8 se!arated by a distance of cm in air carry currents of

9 A and A res!ectively in o!!osite directions" 0alculate the magnitude and direction of the

force on a 2 cm length of the wire 8"

Or

A circular coil of 9 turns* radius 9 cm carries a current of A" :t is sus!ended vertically in auniform hori%ontal magnetic field of " T* the field lines making an angle of ,- with the !lane

of the coil" 0alculate the magnitude of the tor.ue that must be a!!lied on it to !revent it from

turning"

olution/

&ere* rI cm I J 9K2m

I9I 9A*I2I A

lI 2 cm J 9K2m

Where is !ermeability of free s!ace

The direction of the force is !er!endicular to the length of wire 8 and acts away from 7(re!ulsion)"

Or

&ere*

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/umber of turns in the coil*NI 9

adius of the coil* rI 9 cm

0urrent*II A

;agnetic field*BI " T

P I O- K ,- I F-

N INIBAsinP

N I 9 J J " J (F"9 J "9 J "9) J sin F-

N I F"O2 /m


A bar magnet ; is dro!!ed so that it falls vertically through the coil 0" The gra!h obtained for

voltage !roduced across the coil vs" time is shown in figure (b)"

(i) 3+!lain the sha!e of the gra!h"

(ii) Why is the negative !eak longer than the !ositive !eak?

olution/

As the magnet ; a!!roaches coil 0* magnetic flu+ linked with the coil increases and emfis

induced in the coil* which o!!oses the increase in flu+" When magnet is inside the coil* magneticflu+ linked with the coil decreases and emfis induced in the coil* which o!!oses the decrease in

flu+" As velocity of magnet has increased* induced emfis more" Therefore* negative !eak is

longer than the !ositive !eak" When the magnet has fallen through large distance* changingmagnetic flu+ due to its movement vanishes" :nduced emfreduces to %ero"


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T"V" tower has a height of m at a given !lace" 0alculate as coverage range* if the radius of

the earth is , km"

olution/

0overage range of a T"V" tower is given by formulaH

Where*

hI &eight of tower I m

RI adius of earth I , km I , J 9Fm


#raw a ray diagram of an astronomical telesco!e in the normal ad gate" #raw the out!ut wave form for in!ut wave forms A and B

for this gate"

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olution/

Rogic symbol of > gate is given belowH


@tate =auss5 theorem in electrostatics" sing this theorem* derive an e+!ression for the electric

field intensity due to an infinite !lane sheet of charge density 0Cm 2"

olution/

=auss5s TheoremH

:t states that the total flu+ through a closed surface is times the total charge enclosed by theclosed surface"

#erivationH

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Ret us consider a non$conducting sheet of charge with surface charge density " 0onsider a

cylinder of length 2rand cross$sectional area A as =aussian surface" Erom summitry* electric

field !oints at right angle to the end ca!s and away from the sheet" There is no contribution

from the curved surface because angle between and is O-"

At the end faces* angle between and is %ero"

Erom =auss5s law*


A 9 DE ca!acitor is charged by a F V d"c" su!!ly and then connected across an uncharged DE ca!acitor" 0alculate (i) the final !otential difference across the combination* and (ii) the initial

and final energies" &ow will you account for the difference in energy?

olution/

&ere*

0a!acitance* C9I 9 DE I 9 J 9K,E

Voltage* VI F V

C2I DE I J 9K,

E

(i) 0harge on DE ca!acitor I CVI 9 J 9K,J F

I F J 9K0

Einal !otential difference across the combination

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(ii) :nitial electric energy of 9DE ca!acitorH

Einal electrostatic energy of the combination

3lectrostatic energy of the first ca!acitor is lost in the form of heat and electromagnetic radiation"


olution/


Section C


The circuit diagram shows the use of a !otentiometer to measure a small emf!roduced by a

thermocou!le connected betweenXand Y" The cell C* of emf2 V* has negligible internal

resistance" The !otentiometer wirePQis 9" m long and has a resistance of G" The balance

!oint @ is found to be mm fromP" Calculate the value of emfV,generated by thethermocou!le"

olution/

&ere*EI 2 V

Rength of the !otentiometer wire I 9" m

0urrent flowing through wire

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'otential dro! across wirePQIIRI 2 J 9KFJ

I "9 V

'otential gradient along wirePQ*

'otential dro! across wirePS


sing Biot$@avart law* deduce an e+!ression for the magnetic field on the a+is of a circular

current loo!" #raw the magnetic field lines due to a circular current carrying loo!"

Or

A hydrogen ion of mass 4m5 and charge 4q5 travels with a s!eed 4v5 in a circle of radius 4r5 in amagnetic field of intensity 4B5" Write the e.uation in terms of these .uantities only* relating the

force on the ion to the re.uired centri!etal force" &ence derive an e+!ression for its time"

olution/

0onsider a circular loo! of radius 4a5 carrying currentI* held !er!endicular to the !lane of the

!a!er" We want to find the magnetic field at a !oint '* which is at a distancexfrom the centre ofthe coil" Ret us take a small element AB of length dl" Erom Biot$@avart5s law* the field at !oint '

due to a small element is given byH

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The direction of the field is in a !lane !er!endicular to the !lane containing dland is at right

angle to line 0'" esolve this into two com!onents along thex$a+is and at rightangles to the line >'" :t is clear from the figure that the resultant field along$a+is (i"e"*

com!onents cancel each other) is %ero" Eield due to is as shown" The resultant fieldatPwill be only inx$direction"

The total field at ' due to all such elements is given byH

>r

@ubstituting the values* we obtain

The magnetic field lines due to a circular current carrying loo! are shown belowH

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Or

;agnetic force on the hydrogen ion I 0entri!etal force

>r

WhereBS A!!lied magnetic field

qS 0harge of hydrogen ion

mS ;ass of ion

vS @!eed

rS adius of circle

>r*

Time !eriod*


A uniform magnetic field gets modified as shown below* when two s!ecimens 7 and 8 are

!laced in it"

(i) :dentify the two s!ecimens 7 and 8"

(ii) @tate the reason for the behaviour of the field lines in 7 and 8"

olution/

(i) The s!ecimen 7 must be diamagnetic and the s!ecimen 8 must be !aramagnetic or

ferromagnetic"

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(ii) This is because magnetic lines of force !refer not to !ass through diamagnetic material* its

!ermeability being less than one"

>n the other hand* through a !aramagnetic or ferromagnetic material* magnetic lines of force!refer to !ass* their !ermeability being more than one"


Two narrow slits are illuminated by a single monochromatic source" /ame the !attern obtained

on the screen" >ne of the slits is now com!letely covered" What is the name of the !attern now

obtained on the screen? #raw intensity !attern obtained in the two cases" Also write twodifferences between the !atterns obtained in the above two cases"

olution/

With the narrow slits* an interference !attern is obtained"

When one slit is com!letely covered* diffraction !atterns are obtained"

:n case of interference* the following intensity distribution curve is obtained"

The intensity distribution curve for diffraction at a single slit is shown belowH

Interference Diffraction

9

"

All bright fringes are of same

intensity"

9

"

:ntensity of bright fringes decrease with the increase

in distance from the central bright fringe"

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2

"

Widths of interferences may or

may not be e.ual"

2

"Widths of diffraction fringes are never e.ual"


ed light* however bright it is* cannot !roduce the emission of electrons from a clean %incsurface" But even weak ultraviolet radiation can do so" Why?

7$rays of wavelength 465 fall on !hotosensitive surface* emitting electrons" Assuming that the

work function of the surface can be neglected* !rove that the de$Broglie wavelength of electrons

emitted will be "

olution/

The fre.uency of red light is less than the threshold fre.uency of %inc surface" &ence* it cannot

cause !hotoelectric emission from %inc surface* whatever may be its intensity" The fre.uency of

ultraviolet radiation is greater than the threshold fre.uency of %inc surface" &ence* even weakultraviolet radiation can cause !hotoelectric emission"

=iven I

sing 3instein5s !hotoelectric e.uation* we obtain

de Broglie wavelength of emitted !hotoelectron


#efine the termsH 4half$life !eriod5 and 4decay constant5 of a radioactive sam!le" #erive therelation between these terms"

olution/

&alf life !eriodH

&alf life !eriod is the time during which number of atoms left un$decayed in the sam!le is half

the total number of atoms !resent initially in the sam!le"

#ecay constantH

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#ecay constant of a radioactive element is the reci!rocal of the time during which the number of

atoms left in the sam!le reduces to times the original number of atoms in the sam!le"

elationH

At

AsN " N#eK6$*

or

>r*

Taking natural logarithm*

>r*

>r*


When a deuteron of mass 2"99 u and negligible kinetic energy is absorbed by a lithium

nucleus of mass ,"9 u* the com!ound nucleus disintegrates s!ontaneously into two al!ha!articles* each of mass "2, u" 0alculate the energy in

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Total final mass I 2 m I 2 J "2,

I "2 u

;ass defect* Um I "2O, K "2

I "2 u

I "2 J 9",, J 9K2Lkg

3nergy released

I Um J 02I "2 J 9",, J9K2LJ (F J 9)2

I F", J9K92Q

3nergy of each $!article I 9"22 J 9K92Q


What is meant by 4remote sensing5? Briefly e+!lain how it is carried out" ;ention any two

a!!lications of remote sensing"

olution/

emote sensing is a techni.ue of obtaining information about an ob!tical detector is used to detect the o!tical signals at the receiving end and converts light into

electrical signal so that the transmitted information may be decoded"

3ssential characteristics of an o!tical detector areH

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(i) @i%e com!atible with the fibre

(ii) &igh intensity at the desired o!tical wavelength

(iii) &igh res!onse time for fast s!eed data transmission and rece!tion

The efficiency of generating electron$hole !airs in a !hotodiode decides how good that detectoris"

Section D


With the hel! of a labelled circuit diagram* e+!lain how an n-p-ntransistor can be used as an

am!lifier in common emitter configuration" 3+!lain how the in!ut and out!ut voltages are out of

!hase by 9- for a common$emitter transistor am!lifier"

Or

Eor an n-p-ntransistor in the common$emitter configuration* draw a labelled circuit diagram of

an arrangement for measuring the collector current as a function of collector$emitter voltage for

at least two different values of base current" #raw the sha!e of the curves obtained" #efine thetermsH

(i) out!ut resistance and (ii) 4current am!lification factor5"

olution/

The circuit details for using an n$!$n transistor as common emitter am!lifier are shown in thefigure"

The in!ut (base$emitter) circuit is forward biased and the out!ut (collector$emitter) circuit is

reverse biased"

The !otential difference V0 when no a"c" signal is a!!lied between the collector and the emitter isgiven byH

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When an a"c" signal is a!!lied to the in!ut circuit* the forward bias increases during the !ositive

half cycle of the in!ut"

This results in an increase inI0and a conse.uent decrease in V0* as is clear from e.uation (i)"

Thus* during !ositive half cycle of the in!ut* the collector becomes less !ositive"

#uring the negative half cycle of the in!ut* the forward bias is decreased resulting in a decrease

inI3and henceI0" Therefore* from e.uation (i)* V0would increase* making the collector more

!ositive"

&ence* in a common$emitter am!lifier* the out!ut voltage is 9- out of !hase with the in!ut

voltage"

Or

The out!ut characteristics are drawn by !lotting collection currentI0versus collector emitter

voltages V03* kee!ing the base currentIbconstant"

>ut!ut resistanceH

:t is defined as the ratio of the collector emitter voltage (UV03) to the corres!onding change in

collector current (UI0) at constant base currentIb"

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0urrent am!lification factorH

:t is defined as the ratio of the change in collector current to the change in base current"


What is induced emf? Write Earaday5s law of electromagnetic induction" 3+!ress it

mathematically"

A conducting rod of length 4l5 with one end !ivoted* is rotated with a uniform angular s!eed 4M5

in a vertical !lane* normal to a uniform magnetic field 4B5" #educe an e+!ression for the emfinduced in this rod"

:n :ndia* domestic !ower su!!ly is at 22 V* &%* while in @A it is 99 V* &%" =ive one

advantage and one disadvantage of 22 V su!!ly over 99 V su!!ly"

olution/

When the magnetic flu+ linked with a closed circuit changes* an emfis set u! across it* which

lasts only as long as the change in flu+ is taking !lace" This emfis called induced emf"

Earaday5s Raws

Eirst RawH

Whenever the amount of magnetic flu+ linked with a circuit changes* an emfis induced in the

circuit" The induced emflasts so long as the change in magnetic flu+ continues"

@econd RawH

The magnitude of emfinduced in a circuit is directly !ro!ortional to the rate of change ofmagnetic flu+ linked with the circuit"

@u!!ose the conducting rod com!letes one revolution in time %" Then*

0hange in flu+ IBJ Area swe!t

IBJ Xl2

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:nduced emf

&owever*

AdvantageH

The !ower loss at 22 volt su!!ly is less than at 99 V"

#isadvantageH

:t is difficult to work with 22 V su!!ly because its !eak value (F99 V) is much higher than the

!eak value (9" V) of 99 V su!!ly"


0om!lete the !ath of incident ray of light* showing the formation of a real image"

&ence derive the relation connecting ob

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Ret a s!herical refracting surfaceXYse!arate a rarer medium of refractive inde+ n&from a denser

medium of refractive inde+ n2" RetPbe the !ole* Cbe the centre and IPCbe the radius ofcurvature of this surface"

0onsider a !oint ob

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As a!erture of the s!herical surface is small* ; is close to '" Therefore* ;> \ '>* ;: \PI,)C\

PC

Erom (F)*

sing new 0artesian sign conventions* we !ut

This is the re.uired relation"

As wavelength of incident light increases* D decreases" &ence* focal lengthfincreases"

Gallerie


These are aitional set 3 !uestions.


Hi'ro"a%es are use in

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T"o oint 'har,es J 10 KC an D 10KC are searate * a istan'e o& 40 'm in air. (i) Cal'ulate theele'trostati' otential ener,* o& the s*stem assumin, the Aero o& the otential ener,* to e atin&init*. (ii) ra" an e!uiotential sur&a'e o& the s*stem.

olution/

et U B ;le'trostati' otential ener,* o& the s*stem

q1B J 10KC q2B D10KC

istan'e et"een the 'har,es q1an q2B rB 40 'm B 40 10D 2 m

(ii) ;!uiotential sur&a'e &or the ,i%en iole is sho"n elo" * ashe lines.


#n astronomi'al teles'oe in normal austment osition has ma,ni&*in, o"er 5. The istan'eet"een the oe'ti%e an the e*eLie'e is 120 'm. Cal'ulate the &o'al len,ths o& the oe'ti%e an o&the e*eLie'e.

OR

# 'omoun mi'ros'oe "ith an oe'ti%e o& 2 'm &o'al len,th an an e*eLie'e o& 4 'm &o'al len,th

has a tue len,th o& 40 'm. Cal'ulate the ma,ni&*in, o"er o& the mi'ros'oe i& the &inal ima,e is&orme at the near oint o& the e*e.

olution/

Eere

a,ni&*in, o"er m B 5
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bse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!

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f0B :o'al len,th o& the oe'ti%e

feB :o'al len,th o& the e*eLie'e

f0J feB 120 'm (,i%en)

r f0B 5 fe

r 5feJ feB 120

6feB 120

r

#n f0B 100 'm

OR

Eere

:o'al len,th o& the oe'ti%e f0B 2 'm

:o'al len,th o& an e*e ie'e feB 4 'm

:o'al len,th o& tue L B 40 'm


+ith the hel o& an eamle elain ho" the neutron to roton ratio 'han,es urin, alha e'a* o& anu'leus.

olution/

et us take the eamle o& the &ollo"in, e!uation/

eutron to roton ratio e&ore MLe'a*
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bse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!http://cbse.meritnation.com/sample-papers-model-tests/predefinefulltest/Physics/5vAbU5BYoG4Xfn2wujjSRw!!

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eutron to roton ratio a&ter MLe'a*

r

The neutron to roton ratio in'reases in MLe'a*.


:in the "a%elen,th o& ele'troma,neti' "a%es o& &re!uen'* 6 1012 EA in &ree sa'e. Gi%e its t"oali'ations.

olution/

Eere "a%elen,th N B -

:re!uen'* B 6 1012 EA

ee o& li,ht c B 3 108 mOs

B 5 10D5 m

These are in&ra re ra*s "hi'h are use

(i) in ,reenhouse e&&e't to kee the lants "arm

(ii) in mus'ular thera* i.e. to treat mus'ular strains


an are t"o arallel late 'aa'itors ha%in, the same area o& lates an same searation et"eenthe lates. has air et"een the lates an 'ontains a iele'tri' meium o& PrB 5.

(i) Cal'ulate the otential i&&eren'e et"een the lates o& an .

(ii) +hat is the ratio o& ele'trostati' ener,* store in an -
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olution/

et V # otential i&&eren'e a'rossX

The otential i&&eren'e a'ross Y "ill e .

V J B 12 %olt

r %olt

r 6V B 60

r V B 10 %olt

.. a'rossX B 10 %olt

.. a'ross Y B %olt

(ii)


ra" the ener,* an ia,rams o& Lt*e an nLt*e semi'onu'tors. # semi'onu'tor has e!ualele'tron an hole 'on'entration 6 108 mD3 . n oin, "ith a 'ertain imurit* ele'tron 'on'entrationin'reases to 8 1012 mD3 . @enti&* the t*e o& semi'onu'tor a&ter oin,.

olution/
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#s the ele'tron 'on'entration in'reases on oin, there&ore the resultin, semi'onu'tor is o&

nLt*e.

Galleriess
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