Physics_QP_B.1

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Class : XISecond Term Examination 2014-15

Subject: P!sicsSet "1

Time allo#ed : $ ours %aximum %ar&s : '0

(eneral Instructions

1. All questions are compulsory. There are 26 questions in all.

2. This question paper has five sections: Section A, Section B, Section C, Section D an

Section !.

". Section A contains five questions of one mar# each, Section B contains five questions of

t$o mar#s each, Section C contains t$elve questions of three mar#s each, Section D contains

one value %ase question of four mar#s an Section ! contains three questions of five mar#s

each.

&. There is no overall choice. 'o$ever, an internal choice has %een provie in one question

of t$o mar#s, one question of three mar#s an all the three questions of five mar#s

$ei(hta(e. )ou have to attempt only one of the choices in such questions.

Section )

1*

!arth movin( roun the Sun in a circular or%it is acte upon %y centripetal force.

*or# one on the earth %y this force is +.*hy

1

2* An incient $ave is represente %y y-2+ sin 2/ 0 &t. *rite the e/pression for

reflecte $ave.

i from ri(i %ounary

ii from open %ounary

1

$*

A force acts on a mass of 2 #(. 3in the ma(nitue of

acceleration.

1

4* 4ive the Amplitue of S.'.5 represente %y sin t cos t. 1


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5*)ou measure t$o quantities as A-1.+m +.2m, B- 2.+m +.2m. !/press the

corrent value of $ith error.

Section "

1

+* Derive the relation (raphically or other$ise:

2

'* *hat are conservative forces Sho$ that (ravitational force is a conservative force. 2

,* A %all is roppe vertically from rest at a hei(ht of 12 m. After stri#in( the (roun, it

%ounces to a hei(ht of 7 m. *hat fraction of #inetic ener(y oes it loose on stri#in(the (roun

2

* 8%tain an e/pression for escape velocity of an o%9ect pro9ecte from the surface of

the earth.

./

8%tain an e/pression for the acceleration ue to (ravity at a epth ; %elo$ the

surface of the earth.

2

10*

11*

Sho$, that the thermal coefficient of volume e/pansion for a perfect (as at constant

pressure is (iven as v- $here T is the a%solute temperature.

Section C


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12* 8n the %asis of assumptions of #inetic theory of (ases, erive an e/pression for thepressure e/erte %y an ieal (as.

"

1$* A %alloon is ascenin( at the rate of 1& ms01at a hei(ht of 7> m a%ove the (roun,$hen a pac#et is roppe from it. After ho$ much time an $ith $hat velocity oesit reach the (roun

"

14* The an(ular spee of the motor $heel is increase from 12++rpm to "12+rpm in 16

secons. 1*hat is it;s an(ular acceleration, assumin( the acceleration to %e

uniform

2'o$ many revolutions oes the en(ine ma#e urin( this time

"

15* A remote sensin( satellite of the earth revolves in a circular or%it at a hei(ht h;

a%ove the surface of the earth. 3in the mathematical e/pressions of i or%ital

spee an ii total ener(y of the satellite *hat is the si(nificance of ne(ative si(n

in the e/pression of total ener(y of the satellite

"

1+* Define the terms stress an strain an also ra$ the stress versus strain (raph for

a metallic $ire, $hen stretche upto the %rea#in( point.

"

1'* Define Cp an Cv. 3or an ieal (as, prove that Cp0Cv - ?.

8?

State Secon la$ of thermoynamics. 'o$ is a heat en(ine ifferent from a

refri(erator.

"


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1,* A $oman pushes a trun# on a rail$ay platform $hich has a rou(h surface. She

applies a force of 1++ over a istance of 1+m. Thereafter she (ets pro(ressively

tire an her applie force reuces linearly $ith istance to @+. The total istance

%y $hich the trun# has %een move is 2+m. lot the force applie %y the $oman

an the frictional force, $hich is @+. Calculate the $or# one %y t$o forces over

2+m.

"

1

20*

21*

T$o sitar strin(s A an B playin( the note 4a; are sli(htly out of tune an prouce

%eats of frequency 6'. The tension in the strin( A is sli(htly reuce an the %eat

frequency is foun to reuce to " '.


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22*

i *hich of these A, B or C $oul reach the (roun first!/plain.

ii *hich of these $as fire $ith ma/. #inetic ener(y. 4iven : mass is same

!/plain. "

State theorem of perpenicular a/is.

*hat is the moment of inertia of a ro of mass 5, len(th l a%out an an a/is

perpeniular to it throu(h one en "

2$*

Section

Sura9 $ent to Bi( Baaar to purchase certain (oos .There he has notice an ol

lay stru((lin( $ith her shoppin(. ++ #( is movin( up $ith a constant

spee of 2 m=s , The frictional force opposin( the motion is &+++ . Determine the

minimum po$er elivere %y the motor to the elevator in $atts .&

24*

Section E

a Derive a relation for the ma/imum velocity $ith $hich a car safely ne(oliate

a circular trun of raius ? on a roa %an#e at an an(le , (ive that the

coefficient of friction %et$een the car tyres an the roa is

% A lon( playin( recor revolves $ith a spee ""

1

3 rev =min an has a

raius of 1@ cm. T$o coins are place at & cm an 1& cm a$ay from the

centre of the recor.


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a Derive an e/pression for centripetal acceleration of an o%9ect in uniform circular

motion in a plane. *hat $ill %e the irection of the velocity an acceleration at any

instant

% 3in the scalar an vector prouct of t$o vectors

a- " i&j @ & an b- 2 i j" &

25* a Define coefficient of viscosity an $rite its S< unit.

% 3in an e/pression for the terminal velocity in case of a sphere fallin( throu(h a

viscous liqui.

./

a State an prove Bernoulli;s theorem %y ra$in( a proper la%elle ia(ram.% !/plain $hy a spinnin( cric#et %all in air oes not follo$ a para%olic tra9ectory.

@

2+* A pro(ressive $ave represente %y

y-@ sin 1++ t 0+.& / =6 E $here y an / are in m, t in s. *hat is the

i amplitue, ii $avelen(th, iii frequency, iv $ave velocity an v the phase

ifferece %et$een oscillatory motion of t$o points separate %y a istance of

2.@m.

8?

a Sho$ that $hen a strin( fi/e at its t$o ens vi%rate in 1 loop, 2 loops," loops an & loops, the frequencies are in the ratio 1:2:":&.

% Derive an e/pression for the apparent frequency of the soun hear %y a

listener $hen source of soun an the listener %oth move in the sameirection.

@


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Physics_QP_B.1

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