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Raghav Bansal

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Path to Success

ALLENCAREER INSTITUTEKOTA (RAJASTHAN)

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UNIT-DIMENSION

1. If discharge rate is given by V = p

hPr4

8 l then the dimensions of h by taking velocity (v), time (T) and mass (M) as

fundamental units, are :- [AIPMT MAINS - 2004]

(1) M1vT2 (2) Mv1T2 (3) MvT2 (4) Mv2T

2. In an imaginary experiment, the Youngs modulus Y of a material is given by Y = t qcos Tx

l3 where t is the

torque, q is the angle of twist, T is the time period and l is the length of the wire. The value of x, is :-[AIPMT MAINS - 2005]

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

3. The dimensions of the quantity 1

4 0p ehc

2

, where the letters have their usual meaning ,0 is the permitivity of free

space; h, the Planck's constant and c, the velocity of light in free space, are:- [AIPMT MAINS - 2006]

(1) MLT1 (2) M1L1T2 (3) M1LT (4) M0L0T0

4. Find the dimensions of the constant a in vander wall's gas equation 2a

PV

+ [V b] = RT

[AIPMT MAINS - 2008]

(1) M1L5T2 (2) M0L0T1 (3) M2L5T2 (4) M0L5T2

5. f represents momentum and q represents position, then the dimensions of plank's constant (h) in terms of qand f are :- [AIPMT MAINS - 2009]

(1) f1 q1 (2) f2 q1 (3) f1 q2 (4) f2 q2

KINEMATICS

1. If s = 2t3 + 3t2 + 2t + 8 then the time at which acceleration is zero, is :- [AIPMT MAINS - 2004]

(1) t = 12

(2) t = 2 (3) t = 1

2 2(4) Never

2. Velocity of a particle varies with time as v = 4t. The displacement of particle betweent = 2 tot = 4 sec, is :- [AIPMT MAINS - 2004](1) 12 m (2) 36 m (3) 24 m (4) 6 m

3. A particle is thrown vertically upwards from the surface of the earth. Let TP be the time taken by the particleto travel from a point P above the earth to its highest point and back to the point P. Similarly, let TQ be the

time taken by the particle to travel from another point Q above the earth to its highest point and back to the

same point Q. If the distance between the points P and Q is H, the expression for acceleration due to gravity

in terms of TP, TQ and H, is :- [AIPMT MAINS - 2007]

(1) 2 2P Q

6HT T+ (2) 2 2P Q

8HT T- (3) 2 2P Q

2HT T+ (4) 2 2P Q

HT T-

AIPMT MAINS OBJECTIVE QUESTIONS

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4. An aeroplane is travelling horizontally at a height of 2000 m from the ground.

Q

PThe aeroplane, when at a point P, drops a bomb to hit a stationary target Q on the

ground. In order that the bomb hits the target, what angle q must the line PQ make

with the vertical ? [g = 10ms2] [AIPMT MAINS - 2007]

(1) 15 (2) 30

(3) 90 (4) 45

5. Two cars start off to race with velocities 2m/s and 4m/s travel in straight line with uniform acceleration2m/s2 and 1 m/s2 respectively. The length of the path if they reach the final point at the same time is :-


(1) 24 m (2) 12 m (3) 5 m (4) Data insufficient

6. Velocity and acceleration of a particle at some instant of time are ( ) v 2i j 2k= - +r m/s and ( ) a i 6 j k= + -r m/s2.Then, the speed of the particle is .............. at a rate of ............ m/s2. Which of the following sets of information

best suits for the blank spaces?

(1) increasing, 2 (2) decreasing, 2

(3) increasing, 4 (4) decreasing, 4

7. Some informations are given for a body moving in a straight line. The body starts its motion at t=0.

Information I : The velocity of a body at the end of 4s is 16 ms1

Information II : The velocity of a body at the end of 12s is 48 ms1

Information III : The velocity of a body at the end of 22s is 88 ms1

The body is certainly moving with

(1) Uniform velocity (2) Uniform speed

(3) Uniform acceleration (4) Data insufficient for generalization

*8. A large number of particles are moving each with speed v having directions of motion randomly distributed.What is the average relative velocity between any two particles averaged over all the pairs ?

(1) v (2) (p/4)v (3) (4/p)v (4) Zero

9. The sum and the difference of two perpendicular vectors of equal lengths are

(1) also perpendicular and of equal length

(2) also perpendicular and of different lengths

(3) of equal length and have an obtuse angle between them

(4) of equal length and have and acute angle between them

10. A particle starting from rest has a constant acceleration of 4ms2 for 4s. It then retards uniformly for next8s and comes to rest. Average speed of the particle during the motion is

(1) 16 ms1 (2) 8 ms1 (3) 24 ms1 (4) None of these

11. In question 10, magnitude of average velocity of the particle for a time interval from t=0 to t=8s is


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12. In question 10, magnitude of average acceleration of the particle for a time interval from t=0 to t=8s is


13. Two friends Raj & Pooja playing a game of collision of balls and throwing balls from the top of the towersimultaneously as shown in the figure. If the balls collide in air at point P and point O is treated as origin(g =10 m/s2). Distance D between the towers

Raj

Pooja20m/s

202m/s

P

45

O Q

(1) 100 m (2) 200 m (3) 400 m (4) 800 m

14. In question 13, coordinate of the particles at point P

(1) (100,75) (2) (100,125) (3) (75,100) (4) (175,100)

15. In question 13, if wind starts blowing horizontally, due to which a horizontal acceleration ax=2m/s2 is imparted

to the ball from Raj to Pooja then coordinates of point of collision will be

(1) (125, 100) (2) (75, 100) (3) (125, 75) (4) (100, 125)

16. Trajectory of particle in a projectile motion is given as y=x 2x

80.

Here, x and y are in meters. g=10 m/s2.

ColumnI ColumnII

(i) Angle of projection (in degrees) (P) 20

(ii) Angle of velocity with horizontal after 4s (in degrees) (Q) 80

(iii) Maximum height (in metres) (R) 45

(iv) Horizontal range (in metres) (S) 30

For this projectile motion, correct option is :-

(1) (i) R, (ii) R, (iii) P, (iv) Q (2) (i) P, (ii) R, (iii) S, (iv) Q

(3) (i) R, (ii) R, (iii) Q, (iv) S (4) (i) R, (ii) S, (iii) P, (iv) R

NLM AND FRICTION1. For the following system [AIPMT MAINS - 2004]

(1) Acceleration of the system = 2 m/s2 (2) T1 = 20N

(3) T2 = 10N (4) T2 > T1

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2. For shown situation in figure (Assume : g=10 ms2) [AIPMT MAINS - 2005]

A5N

B

4cm

4cm

Smooth

=0.2

m =1kgAm =2kgB

Floor(1) The acceleration of the block A is 1m/s2

(2) The acceleration of the block B is 3m/s2

(3) The time taken for the front face of A lining up with the front face of B is 0.25 sec

(4) The time taken for the front face of A lining up with the front face of B is 0.50 sec

3. Two equal masses are placed as shown in the figure. Friction at the pulley M

M

is negligible. If coefficient of sliding friction of the mass on the horizontal surface

is 0.2 and if the hanging mass is just released from position of rest, the

acceleration of the system, is:- [AIPMT MAINS - 2005]

(1) 1 m/s2 (2) 2 m/s2 (3) 3.92 m/s2 (4) 4 m/s2

4. A block of mass 5kg is placed on horizontal surface, and a pushing force 20N is acting on block as shown infig. If coefficient of friction between block and surface is 0.2 then frictional force and speed of block after 15sec, are respectively :- (Given g = 10 m/s2) [AIPMT MAINS - 2008]

45

20N

5 kg

//////////////////////////////////////////////////////

(1) (5 + 2 2 )N, 3.25 ms1 (2) (10 + 2 2 )N, 3.25 ms1

(3) (5 + 2 2 )N, 3.94 ms1 (4) (10 + 2 2 )N, 3.94 ms1

5. A weightless string passes through a slit over a pulley. The slit offers frictional force f to

the string. The string carries two weights having masses m1 and m2 where m2 > m1,

m1m2

then acceleration of the weights is

(1) - -

+2 1

1 2

(m m )g fm m (2)

- -+

2 1

1 2

f (m m )gm m (3)

+ --

1 2

1 2

(m m )g f(m m ) (4)

-+

2

1 2

m g f(m m )

6. At a turn a track is banked for optimum speed of 40 km/h. At the instant shown in the figure a car is traveling out of the plane of the figure.If the car travels at 60 km/h, the net frictional force acting on the wheels must be(1) static in nature and point downward along the bank of the track for safe driving.

(2) static in nature and points upward along the bank of the track for safe driving.

(3) kinetic in nature and points upward along the bank of the track for safe driving.

(4) kinetic in nature and points downwards along the bank of the track for safe driving.

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7. In question 6, if the car travels at 30 km/h, the net frictional force acting on the wheels must be

(1) static in nature and points downward along the bank of the track for safe driving.

(2) static in nature and points upward along the bank of the track for safe driving.

(3) kinetic in nature and points upward along the bank of the track for safe driving.

(4) kinetic in nature and points downwards along the bank of the track for safe driving.

8. In question 6, when the car is on the turn the driver realizes that his speed is reaching the maximum safe limitso he applies brakes to reduce the speed till the car reaches the optimum speed. While he is applying thebrake, the frictional force acting on the wheels of the car must be

(1) static in nature and directed somewhere in between downward along bank of the track and into the plane of the figure.

(2) static in nature and directed somewhere in between upward along bank of the track and into the plane of the figure.

(3) static in nature and directed somewhere in between downward along bank of the track and out of the plane of the figure.

(4) static in nature and directed somewhere in between upward along bank of the track and out of the plane of the figure.

9. For shown situation tick incorrect alternative(s)

(i) The aceleation of m w.r.t. ground is FM

(ii) The aceleation of M w.r.t. ground is FM

(iii) The acceleration of M w.r.t. ground is zero (iv) The time taken by m to separate from M is 2 m

Fl

The correct option is :-

(1) (i), (ii), (iii) (2) (i), (iii), (iv)

(3) (ii), (iii) (4) (ii), (iv)

WORK, POWER, ENERGY & CENTRE OF MASS, COLLISION1. A particle of mass M falls from height h and gets stick after collision, with identical particle lying on sand. After

sticking, both particles moves a distance d in sand, then the work done against retarding force of sand is :-[AIPMT MAINS - 2004]

(1) Mgh

2 + 2Mgd (2)

Mgh2

+ Mgd (3) Mgh

2 2Mgd (4)

Mgh2

Mgd

2. A ball of mass m hits the floor with a speed v making an angle of incidence q = 45 with the normal to the

floor. If the coefficient of restitution e =1

2, then the speed of the reflected ball and the angle of reflection

are :- [AIPMT MAINS - 2005]

(1) -13 v,tan 2

2 (2) -13 v,tan 3

4

(3) -12 3

v,tan 35

(4) -13

v,tan 25

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3. A particle of mass m is moving in a horizontal circle of radius r under a centripetal force equal to - Kr2

$r ,

where K is constant. The total energy of the particle, is :- [AIPMT MAINS - 2005]

(1) -K2r

(2) -2K

r(3)

-K3r

(4) K

4r-

4. A body is dropped from height 8m. After striking the surface it rises to 6m, the fractional loss in kinetic energyduring impact, is (Assuming the frictional resistance to be negligible) [AIPMT MAINS - 2006]

(1) 12

(2) 14

(3) 15

(4) 17

5. A body of mass 0.8 kg has initial velocity (3 $i 4 $j ) m/sec. and final velocity ( 6 $j + 2 $k ) m/sec, the changein kinetic energy of the body, is :- [AIPMT MAINS - 2006](1) 2 J (2) 3 J (3) 4 J (4) 6 J

6. A body of mass 10 kg is released from a tower of height 20m and body acquires a velocity of 10ms1 after fallingthrough the distance 20m. The work done by the push of the air on the body is:-(Take g = 10 m/s2) [AIPMT MAINS - 2008]

(1) 1500 J (2) 1800 J (3) 1500 J (4) 1800 J

7. A chain of mass m and length L is held on a frictionless table in such a way that its 1

thn

part is hanging below

the edge of table. The work done to pull the hanging part of chain is :- [AIPMT MAINS - 2008]

(1) 2

2

mgL2n

(2) Zero (3) mgL2n

(4) 2mgL

2n

8. A particle of mass m is connected from a light inextensible string of length l such q2 q1 Athat it behaves as a simple pendulum. Now string is pulled to point A making an angle

q1 with the vertical and it is released from the point A then [AIPMT MAINS - 2008]

(1) Speed of the particle when string makes an angle q2 with vertical, is 2 12g (cos cos )q - ql .

(2) Speed of the particle when string makes an angle q2 with vertical, is 2 1g (cos cos )q - ql .(3) The tension in the string when string makes an angle q2 with vertical is mg (4cosq2 2cosq1)(4) The tension in the string when string makes an angle q2 with vertical is mg (cosq2 cosq1)

9. A 70 kg. man jumps to a height of 0.8 m. The impulse provided by ground to man is :- [AIPMT MAINS - 2009]

(1) 384.6 kg m/sec (2) 277.2 kg m/sec

(3) 237.4 kgm/sec (4) 309.6 kg m/sec

10. A block of mass 1 kg is attached to a spring with a force constant 100 N/m and rests on a rough horizontalground as shown in the figure. Initial displacement of block from equilibrium position is 50 cm. The total distancecovered by the block if coefficient of friction between block & ground is 0.05. [g =10m/s2]

(1) 5 m (2) 25 m (3) 20 m (4) None of these

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11. A point mass m moves horizontally with a velocity of 0Rg

v2

= from the m

v0

qRpeak of a smooth hemispherical surface of radius R.

The angle q0 at which the mass m leaves the spherical surface, is :

(1) 1 2cos

3- (2)

1 2sin3

- (3) 1 5cos

6- (4)

1 5sin6

-

12. In question 11, radial acceleration at q0 is :

(1) g (2) 56

g (3) 65

g (4) g5

13. In question 11, if there is friction on the spherical surface, then it leaves the surface at an angle q. Then valueof q is :(1) > q

0(2) < q

0(3) = q

0(4) Can't be determined

14. In the figure shown, when the persons A and B exchange their positions. [There is no friction between plankand ground]

M1 M2

A B

M

M =50kg, M = 70 kg, M = 80 kg1 2

Column I Column II

(i) The distance moved by the centre of mass of the system is (P) 20 cm

(ii) The distance moved by the plank is (Q) 1.8 m

(iii) The distance moved by A with respect to ground is (R) 0

(iv) The distance moved by B with respect to ground is (S) 2.2 m


(1) (i) R, (ii) P, (iii) S, (iv) Q (2) (i) P, (ii) R, (iii) S, (iv) Q

(3) (i) P, (ii) S, (iii) Q, (iv) R (4) (i) R, (ii) S, (iii) P, (iv) Q

15. A particle is suspended from a string of length R. It is given a velocity u = 3 gR at the lowest point.

Column I Column II

(i) Velocity at B (P) 7 mg C

D B

Au

(ii) Velocity at C (Q) 5gR

(iii) Tension in string at B (R) 7gR

(iv) Tension in string at C (S) 4 mg


(1) (i) R, (ii) S, (iii) P, (iv) Q (2) (i) P, (ii) R, (iii) S, (iv) Q

(3) (i) P, (ii) R, (iii) Q, (iv) S (4) (i) R, (ii) Q, (iii) P, (iv) S

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16. A smooth sphere A of mass m collides elastically with an identical sphere B at rest. The velocity of A beforecollision is 8 m/s in a direction making 60 with the line of centres at the time of impact.

(i) The sphere A comes to rest after collision.

(ii) The sphere B will move with a speed of 8 m/s after collision.

(iii) The directions of motion A and B after collision are at right angles.

(iv) The speed of B after collision is 4 m/s.


(1) (i), (ii) (2) (ii), (iii), (iv)

(3) (iii), (iv) (4) (ii), (iii)

17. Potential energy function along xaxis in a certain force field is given as

43 2x 11U(x) 2x x 6x

4 2= - + - . For the given force field :

(i) the points of equilibrium are x=1, x=2 and x=3.

(ii) the point x=2 is a point of unstable equilibrium.

(iii) the points x=1 and x=3 are points of stable equilibrium.

(iv) there exists no point of neutral equilibrium.


(1) (i), (ii), (iv) (2) (i), (ii), (iii), (iv)

(3) (iii), (iv) (4) (ii), (iii)

ROTATIONAL MOTION1. The angle between angular momentum and linear momentum for a particle in motion is :-


(1) 0 (2) 90 (3) 45 (4) 180

2. Two identical rods each of mass M and length L are kept according

to figure. The moment of inertia of rods about an axis passing through

O and perpendicular to the plane of rods, is :- [AIPMT MAINS - 2004]

(1) 13

ML2 (2) 23

ML2 (3) 2ML2 (4) 12

ML2

3. A flywheel of mass 0.2 kg and radius 10 cm is rotating with 5p rev/sec about an axis perpendicular to its plane

passing through its centre. The values of angular momentum and kinetic energy of fly wheel are respectively:-(1) 1 102 kgm2s1, 0.2 J (2) 2 102 kgm2s1, 0.1 J [AIPMT MAINS - 2006](3) 1 103 kgm2s1, 0.4 J (4) 1 102 kgm2s1, 0.4 J

4. The centre of a circular disc of uniform density of radius R and mass M

is at O. This disc may be assumed to have two partsone is another circular disc

C of radius R/3 with centre at O1 (OO1=2R/3) and the part K has its centre of

mass at O2 , the moment of inertia of the disc K about an axis perpendicular to

this plane of the disc and passing through O2 , is :- [AIPMT MAINS - 2006]

(1) 71

162 MR2 (2)

70160

MR2 (3) 71

165 MR2 (4)

70165

MR2

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5. A flywheel rotates with a uniform angular acceleration. Its angular velocity increases from 20p rad/s to 40prad/s in 10 seconds. The number of rotations, it made in this period are :- [AIPMT MAINS - 2006](1) 100 (2) 150 (3) 200 (4) 250

6. A uniform thin stick of length l and mass m is held horizontally with its end B hinged at a point B on the edge of a table. Point A is

suddenly released. The acceleration of the centre of mass of the stick

at the time of release, is :-

(1) 34

g (2) 37

g [AIPMT MAINS - 2007]

(3) 27

g (4) 17

g

7. A fixed pulley of radius 20 cm and moment of inertia 0.32 kg.m2 about its axle

has a massless cord wrapped around its rim. A mass M of 2 kg is attached to the

end of the cord. The pulley can rotate about its axis without any friction. The

acceleration of the mass M is :- (Assume g = 10 m/s2)

(1) 1 m/s2 (2) 3 m/s2

(3) 2 m/s2 (4) 4 m/s2 [AIPMT MAINS - 2007]

8. Three identical rings of mass 'M' and radius 'R' are placed shown in figure. The moment of inertia about axisxx' is :- [AIPMT MAINS - 2009]

x

x'

(1) 52

MR2 (2) 72

MR2 (3) 32

MR2 (4) 92

MR2

9. A disc is rotating with angular velocity (w) about its axis (without any translation push) on a smooth surface :The directions and magnitudes of velocity at points B and A are :- [AIPMT MAINS - 2009]

(1) VA = +wR2

(Towards right), VB = wR (Towards left)

(2) VA = wR (Towards right), VB = wR2

(Towards left)

A

O

B

w

R/2

(3) VA = +wR4

(Towards right), VB = wR (Towards left)

(4) VA = +wR2

(Towards right), VB = wR2

(Towards left)

10. A uniform rod of mass 4m and length L lies on a smooth horizontal table. A particle of mass m moving on thetable strikes the rod perpendicularly at an end and stops. Velocity of centre of mass of the rod after collisionis

(1) v0 (2) 0v

2(3) 0

v

4(4) 0

v

6

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11. In question 10, angular velocity of the rod after collision is

(1) 03v2L

(2) 03v4L

(3) 0v2L

(4) 0v4L

12. In question 10, distance travelled by the centre of rod by the time it turns through one revolution is

(1) Lp (2) 2 Lp (3) L

12p

(4) L3

p

13. A solid sphere of mass m and radius R is gently placed on a rough horizontal ground with an angular speedw0 and no linear veloicty. Coefficient of friction is m. Find the time t when the slipping stops.

(1) 02R

5 gw

m (2) 02R

7 gw

m (3) 02R

3 gw

m (4) 02R

14 gwm

14. In question 13, the angualr velocity at the end of the slipping is

(1) 025

w (2) 027

w (3) 023

w (4) 02

14w

15. In question 13, the angular momentum of the sphere about the bottommost point at the end of slipping is

(1) 2 202

mR5

w (2) 2 202

mR7

w (3) 2 202

mR3

w (4) None of these

16. A uniform hollow sphere is released from the top of a fixed inclined plane of inclination 37 and height 7m. Itrolls without sliding. (g = 10 ms2)

The acceleration of the centre of mass of the hollow sphere is

(1) 230

ms7

- (2) 218

ms5

- (3) 29

ms5

- (4) 215

ms7

-

17. In question 16, the speed of the point of contact of the sphere with the inclined plane when the sphere reacheshalfway of the incline is

(1) 142 ms- (2) 121 ms- (3) 184 ms- (4) zero

18. In question 16, the time taken by the sphere to reach the bottom is

(1) 3

s5

(2) 5

s3

(3) 5

s4

(4) None of these

19. A sphere rolls without slipping on a rough horizontal surface with centre of mass has constant speed v0. If massof the sphere is m and its radius is R, then what is the angular momentum of the sphere about the point ofcontact

(1) 05

mv R2

(2) 07

mv R5

(3) 03

mv R5

(4) 01

mv R2

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20. In an experiment with a beam balance on unknown mass m is balanced by two known masses of 16 kg and 4 kgas shown in figure. The value of the unknown mass m is

16kg

mm

4kg

l2 l2l1 l1

(1) 10 kg (2) 6 kg (3) 8 kg (4) 12 kg21. A small solid sphere of mass m is released from a point A at a height h above the bottom of a rough track as

shown in the figure. If the sphere rolls down the track without slipping, its rotational kinetic energy when itcomes to the bottom of track is

(1) mgh (2) 107

mgh

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\

\\\\\\\\

\\\\\\

\\\\\\

\\\\\\

(3) 57

mgh (4) 27

mgh

SHM

1. Frequency of oscillation of a body is 6 Hz when force F1 is applied and 8 Hz when F2 is applied. If both forcesF1 & F2 are applied together then the frequency of oscillation, is :- [AIPMT MAINS - 2004]

(1) 14 Hz (2) 2 Hz (3) 10 Hz (4) 10 2 Hz

2. When a particle oscillates simple harmonically, its kinetic energy varies periodically. If frequency of the oscillationof particle is n, then the frequency of oscillations of K.E., is :- [AIPMT MAINS - 2006]

(1) n (2) 2n (3) 3n (4) 4n

3. On the superposition of two harmonic oscillations represented by x1 = a sin (wt + f1) and x2 = a sin (wt + f2)a resulting oscillation with the same t ime period and amplitude is obtained. The value of

f1 f2 is :- [AIPMT MAINS - 2007](1) 120 (2) 90 (3) 60 (4) 15

4. In damped oscillations, the amplitude after 50 oscillations is 0.8 a0, where a0 is the initial amplitude, then the

amplitude after 150 oscillations is :- [AIPMT MAINS - 2008]

(1) 0.512 a0 (2) 0.280 a0 (3) Zero (4) a0

5. Spring of spring constant 1200 Nm1 is mounted on a smooth frictionless surface and attached to a block ofmass 3 kg. Block is pulled 2 cm to the right and released. The angular frequency of oscillation is :-


(1) 5 rad/sec (2) 30 rad/sec (3) 10 rad/sec (4) 20 rad/sec

6. A simple pendulum of length 1m is allowed to oscillate with amplitude 2. It collides

elastically with a wall inclined at 1 to the vertical. Its time period will be : (use g = p2)

(1) 2/3 sec (2) 4/3 sec

1 2

(3) 2 sec (4) None of these

Path to Success


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7. Identify, which of the following functions represents simple harmonic motion(1) y = aewt (2) y = a sin2 wt (3) y = a sin wt +b cos wt (4) y= sin wt + cos 2wt

8. Values of the acceleration x&& of a particle moving in simple harmonic motion as a function of its displacement xare given in the table below.

16 8 0 8 -16

x (mm) 4 2 0 2 4

( )&& 2x mm/s

The period of the motion is

(1) p1

s (2) p2

s (3) p

s2

(4) p s

9. Two pendulums of time periods 3 s and 7s respectively start oscillating simultaneously from two oppositeextreme positions. After how much time they will be in phase

(1) 21

s8

(2) 21

s4

(3) 21

s2

(4) 21

s10

10. A point particle of mass 0.1 kg is executing SHM of amplitude 0.1 m. When the particle passes through themean position, its KE is 8 103 J. Find the equation of motion of this particle if the initial phase of oscillation is45(1) y = 0.1 cos (3t + p/4) (2) y = 0.1 sin (6t + p/4)(3) y = 0.1 sin (4t + p/4) (4) y = 0.1 cos (4t + p/4)

11. Pendulum A is a physical pendulum made from a thin rigid and uniform rod whose length is l. One end of thisrod is attached to the ceiling by a frictionless hinge so that rod is free to swing back and forth. Pendulum B is

a simple pendulum whose length is also l. The ratio A

B

TT for small angular oscillations-

(1) 32

(2) 23

(3) 23

(4) 32

12. The potential energy U of a particle is given by U = {20 + (x4)2}J. Total mechanical energy of the particle is 36J. Select the correct alternative(s)(i) the particle oscillates about point x=4 m(ii) the amplitude of the particle is 4m(iii) the kinetic energy of the particle at x=2 m is 12 J(iv) the motion of the particle is periodic but not simple harmonicThe correct option is :-(1) (i), (ii), (iii) (2) (ii), (iii), (iv) (3) (iii), (iv) (4) (ii), (iii)

13. A particle moves along the Z-axis according to the equation z = 5+12 cos 2 t 2p p + , where z is in cm and t is

in seconds. Select the correct alternative (s)-

(i) The motion of the particle is SHM with mean position at z = 5cm

(ii) The motion of the particle is SHM with extreme position at z = 7cm and z = +17 cm.

(iii) Amplitude of SHM is 13 cm

(iv) Amplitude of SHM is 12 cm


(1) (i), (ii), (iv) (2) (ii), (iii), (iv) (3) (iii), (iv) (4) (ii), (iii)

Path to Success


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13/91

AIPMT MAINS - XI

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THERMAL PHYSICS

1. CP for an ideal gas is 52

R. 2 moles of this gas is taken in a thermodynamically insulated system and 300

joules is supplied to the gas. The increase in temperature, is :- [AIPMT MAINS - 2004]

(1) 100

KR

(2) 50

KR

(3) 150

KR

(4) 200

KR

2. Two moles of helium gas (g = 5/3), assumed ideal, are initially at 27C and occupy a volume of 20 litres. Thegas is first expanded at constant pressure till its volume is doubled. It then undergoes an adiabatic change until

the temperature returns to its initial value. [R = 8.3 J mol1 K1] [AIPMT MAINS - 2005]

(1) Final volume of the gas is 75 2 litre

(2) Final pressure of the gas is 0.44 105 N/m2

(3) Work done under isobaric process is 4765 J

(4) Work done under adiabatic process is 7506J

3. Assuming Newton's law of cooling to be valid. The temperature of body changes from 60C to 40Cin 7 minutes. Temperature of surroundings being 10C, its temperature after next 7 minutes, is :-


(1) 7C (2) 14C (3) 21C (4) 28C

4. The weight of sphere in air is 50g. Its weight 40 g in a liquid, at temperature 20C. When temperature increases

to 70C, it weight becomes 45 g, then the ratio of densities of liquid at given two temperature is :-


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

5. The figure given below shows the variation in the internal energy U with a b

cd

V0 2Vu

U

V

volume V of 2.0 mole of an ideal gas in a cyclic process a b c d a. The

temperatures of the gas during the processes a b and c d are 500K and 300K

respectively, the heat absorbed by the gas during the complete process is :-

(Take R = 8.3 J/molK and ln 2 = 0.69) [AIPMT MAINS - 2008]

(1) 3200 J (2) Zero (3) 2100 J (4) 2291 J

6. 2 moles of an ideal monoatomic gas occupying volume V is adiabatically expanded from temperature 300K

to a volume of 2 2 V. Then the final temperature & change in internal energy are respectively (R = 8.3)

(1) 150 K, 3735 J (2) 140 K, 3735 J [AIPMT MAINS - 2009]

(3) 150 K, 3537 J (4) 140 K, 3537 J

7. A heat engine is having a source at temperature 527C and sink at temperature 127C. If the useful work isrequired to be done by the engine at the rate of 750 watt, then the amount of heat absorbed by the sink per

second from the source in calories and the efficiency of heat engine are :- [AIPMT MAINS - 2009]

(1) 482.2 cal/sec, 50% (2) 482.2 cal/sec, 25%

(3) 357.14 cal/sec, 50% (4) 357.14 cal/sec, 25%

Path to Success


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14/91

PHYSICS

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8. A clock with a metallic pendulum gains 6 seconds each day when the temperature is 20C and loses 6second when the temperature is 40C. Find the coefficient of linear expansion of the metal.

(1) 1.4 105 C1 (2) 1.4 106 C1

(3) 1.4 104 C1 (4) 0.4 106 C1

9. Figure shows the adiabatic curve on loglog scale

performed on a ideal gas. The gas must be :7

6

5

4

3

2

1

0 1 2 3 4 5 6 7 8 9 10 11

logT

log V

(1) Monoatomic

(2) Diatomic

(3) A mixture of monoatomic and diatomic

(4) A mixture of diatomic and polyatomic

10. An ideal gas expands in such a way that PV2 = constant throughout the process. Select correct alternative

(1) This expansion is not possible without heating

(2) This expansion is not possible without cooling

(3) Internal energy remains constant in this expansion

(4) Internal energy increases in this expansion

11. The variation of the lnT versus lnlm and lnE versus lnT are shown in figure. T is the temperature of the bodyin Kelvins, lm is the wavelength corresponding to maximum spectral radiant energy and E is the energy emittedby the body per second. The intercept made by the line 1 on the yaxis is A. What is the slope of line1?

Line-2

lnT

lnE

(1) 2 (2) 4 (3) 1 (4) 0.5

12. In question 11, what is the slope of line2?

(1) 2 (2) 4 (3) 1 (4) 0.5

13. In question 11, what is the value of Wein's displacement constant?

(1) eA (2) A1e

(3) lnA (4) 1nAl

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15/91

AIPMT MAINS - XI

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14. Figure shows the temperature variation when heat is added continuously to a specimen of ice (10 g) at 40C at constant rate. (Specific heat of ice is 0.53 cal/g C and Lice = 80 cal/g, Lwater= 540 cal/g)

0

-40Q1 Q2 Q3 Q4

100

Tem

p. (

C)

Q(cal)

ColumnI ColumnII(i) Value of Q1 in cal (P) 800 cal(ii) Value of Q2 in cal (Q) 1000 cal(iii) Value of Q3 in cal (R) 5400 cal(iv) Value of Q4 in cal (S) 212 calThe correct option is :-(1) (i) S, (ii) P, (iii) R, (iv) Q (2) (i) P, (ii) S, (iii) R, (iv) Q(3) (i) S, (ii) P, (iii) Q, (iv) R (4) (i) Q, (ii) P, (iii) R, (iv) S

15. Volume versus pressure curves for one mole of an ideal gas are given for four processes as shown in figure.

(B Adiabatic process, C Isothermal process)

V2

V1

P

V

A

DB

C

P2 P1

ColumnI ColumnII

(i) For process A (P) Work done by the gas is positive.

(ii) For process B (Q) Temperature will increase.

(iii) For process C (R) Heat supplied is positive.

(iv) For process D (S) Change in internal energy is negative.


(1) (i) S, (ii) PS, (iii) PR, (iv) PQR (2) (i) P, (ii) S, (iii) R, (iv) Q

(3) (i) PS, (ii) P, (iii) PR , (iv) PQR (4) (i) Q, (ii) P, (iii) R, (iv) S

16. The temperature drop through a two layer furnace wall is 900C. Each layeris of equal area of crosssection. Which of the following action(s) will result inlowering the temperature q of the interface?(i) By increasing the thermal conductivity of outer layer.

(ii) By increasing the thermal conductivity of inner layer.

(iii) By increasing thickness of outer layer.

(iv) By increasing thickness of inner layer.


(1) (i), (iv) (2) (i), (ii), (iii)

(3) (ii), (iii), (iv) (4) (i), (iii)

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16/91

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GRAVITATION1. An earth satellite is moved from one stable circular orbit to another higher stable circular orbit. Which one of the

following quantities increases for the satellite as a result of the change?(1) gravitational force (2) gravitational potential energy(3) angular velocity (4) linear orbital speed

2. Consider that the Earth is revolving round the Sun in an circular orbit with period T. The area of the circular orbitis directly proportional to(1) T2/3 (2) T1/3 (3) T4/3 (4) T1/2

3. The escape velocity for a planet is ve. A particle starts from rest at a large distance from the planet, reachesthe planet only under gravitational attraction, and passes through a smooth tunnel through its centre. Its speedat the centre of the planet will be-

(1) e1.5v (2)

ev

2(3) ve (4) zero

4. A particle is projected vertically upwards the surface of the earth (radius Re) with a speed equal to one fourth ofescape velocity. What is the maximum height attained by it from the surface of the earth ?

(1) e16

R15

(2) eR15

(3) e4

R15

(4) None of these

5. A satellite of mass m is orbiting the Earth at a height h above its surface. The mass of the Earth is M and itsradius R. Match the physical quantities in column I with the expression in column II

ColumnI ColumnII

(i) ( )GMm

2 R h+ (P) Potential energy of the earth satellite system.

(ii)GM

R h+ (Q) Kinetic energy of the satellite.

(iii)GMmR h

-+ (R) Orbital velocity of the satellite.

(iv) ( )GMm

2 R h+ (S) Total energy of satellite.


(1) (i) S, (ii) P, (iii) R, (iv) Q

(2) (i) P, (ii) S, (iii) R, (iv) Q

(3) (i) S, (ii) P, (iii) Q, (iv) R

(4) (i) Q, (ii) R, (iii) P, (iv) S

6. Two point objects of masses m and 4m are at rest at an infinite separation. They move towards each otherunder mutual gravitational attraction. If G is the universal gravitational constant, then at a separation r

(i) the total mechanical energy of the two objects is zero (ii) their relative velocity is 10Gm

r

(iii) the total kinetic energy of the objects is 24Gm

r (iv) their relative velocity is zero

The correct option is :-(1) (i), (ii), (iii) (2) (ii), (ii)

(3) (i), (iii) (4) (ii), (iii), (iv)

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17/91

AIPMT MAINS - XI

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SOUND WAVES1. Speed of sound in a metallic rod of density 4 103 kg/m3 is 5000 m/s. The magnitude of linear stress required

to produce a linear strain of 1 percent in the rod, is :- [AIPMT MAINS - 2005]

(1) 108 N/m2 (2) 109 N/m2 (3) 103 N/m2 (4) 104 N/m2

2. Two tuning forks A and B produce 8 beats/s when sounded together. A gas column 37.5 cm long in a pipeclosed at one end resonate to its fundamental mode with fork A whereas a column of length 38.5 cm of thesame gas in a similar pipe is required for a similar resonance with fork B. The frequencies of these two tuningforks, are :- [AIPMT MAINS - 2006]

(1) 308 Hz, 300 Hz (2) 208 Hz, 200 Hz (3) 300 Hz, 400 Hz (4) 350 Hz, 500 Hz

3. Two identical wires under the same tension have a fundamental frequency of 500 Hz. The fractional increasein the tension of one wire will give 5 beats per second, is :- [AIPMT MAINS - 2007]

(1) 0.01 (2) 0.02 (3) 0.03 (4) 0.04

4. A string with a mass density of 4 103 kg/m is under tension of 360 N and is fixed at both ends. One of itsresonance frequencies is 375 Hz. The next higher resonance frequency is 450 Hz. The mass of the string

is :- [AIPMT MAINS - 2007](1) 2 103 kg (2) 3 103 kg (3) 4 103 kg (4) 8 103 kg

5. A policemen buzz a whistle of frequency 400 Hz. A car driver is approaching the policemen. The speed ofcar is 54 kmh1. The change in frequency experienced by the driver, when driver approaches the policemenand after he crosses the policemen, is :- [Velocity of sound is 350 ms1] [AIPMT MAINS - 2009]

(1) 42.8 Hz (2) 34.2 Hz (3) 38.6 Hz (4) 27.6 Hz

6. Two vibrating tuning forks produce progressive waves given by y1= 4 sin(500pt) and y2= 2 sin(506pt). Thesetuning forks are held near the ear of a person. The person will hear

(1) 3 beats/s with intensity ratio between maxima and minima equal to 4.




7. y (x, t) = 5 sin (wt x/5)(1) Not a travelling wave

(2) A travelling wave with speed v = 10

(3) The wave is travelling in +x direction

(4) The wave is travelling in x direction

8. A traveling wave is of the form y (x,t) = A cos (kx wt) + B sin (kx wt), which can also be written asy (x,t) = D sin (kx wt f) where

(1) D = A + B (2) D = |A + B|

(3) D2 = A2 + B2 (4) D = A B

9. Consider the snapshot of a wave traveling in positive xdirection

A

B

(1) The particle A is moving in ve ydirection and particle B is moving in +ydirection

(2) The particle B is moving in ve ydirection and particle A is moving in +ydirection

(3) Both are moving in the +ve ydirection

(4) Both are moving in the ve ydirection

Path to Success


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18/91

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10. The displacement of the medium in a sound wave is given by the equation

y=A cos (ax + bt)

where A, a and b are constants. The wave is reflected by an obstacle situated at x=0. The intensity of the reflectedwave is 0.64 times that of the incident wave. What is the wave length and velocity of the incident wave?

(1) 2 b

,a ap

(2) 2 a

,a bp

(3) 2 b

,b ap

(4) 1 b

,b a

11. In question 10, the equation for the reflected wave is

(1) 0.64 A cos (axbt) (2) 0.8A cos (axbt)

(3) 0.6A cos (axbt) (4) 0.36A cos (axbt)

12. In question 10, the equation for the transmitted wave is

(1) 0.64 A cos (ax+bt) (2) 0.8A cos (ax+bt)

(3) 0.6 A cos (ax+bt) (4) 0.36 cos (ax+bt)

13. Following is given the equation of a stationary wave (all in SI units) y = (0.06) sin (2px) cos (5pt)Column I Column II

(Only magnitude in SI units)

(i) Amplitude of constituent wave (in m) (P) 0.06

(ii) Position of node at x =...... (in m) (Q) 0.5

(iii) Position of antinode at x =.... (in m) (R) 0.25

(iv) Amplitude at x = 1/12 m (in m) (S) 0.03

The correct option is

(1) (i) S, (ii) P, (iii) R, (iv) Q

(2) (i) P, (ii) S, (iii) R, (iv) Q

(3) (i) S, (ii) Q, (iii) R, (iv) S

(4) (i) Q, (ii) P, (iii) R, (iv) S

14. At x=0 particle oscillate by law 23

y2t 1

= + . If wave is propagating along ve x axis with velocity 2m/s. Findequation of wave

(1) 23

yx

2 t 12

= - +

(2) 23

yx

2 t 12

= + +

(3) 23

yz

2 t 12

= - +

(4) 23

yz

2 t 12

= + +

15. A triangular transvers wave is propagating in the positive X-directionVelocity of P at this instant will be-

y

P

x

(1) Vertically upward (2) Vertically downward

(3) At Rest (4) Cannot be determined

16. S1 , S2 are two coherent sources of sound located along x - axis separated by 4 lS1 S2

4lwhere l is wavelength of sound emitted by them . Number of maxima located on

the elliptical boundary around it will be :

(1) 16 (2) 12 (3) 8 (4) 4

17. Four tuning forks of frequencies 200,201, 204 and 206 Hz are sounded together. The beat frequency willbe-(1) 6 (2) 12 (3) 15 (4) None of these

Path to Success


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19/91

AIPMT MAINS - XI

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18. Three progressive waves A, B and C are shown in figure. With respect to wave A

(1) The wave C lags behind in phase by p2

and B leads by p2

.

(2) The wave C leads in phase by p and B lags behind by p.

(3) The wave C leads in phase by p2

and B lags behind by p2

.

(4) The wave C lags behind in phase by p and B leads by p.19. Two waves traveling in a medium in the xdirection are represented by y1=A sin(at bx) and

y2=A cos(bx + at p/4), where y1 and y2 are the displacements of the particles of the medium, t is time, and aand b are constants. The two waves have different(1) speeds (2) directions of propagation (3) wavelengths (4) frequencies

20. A racing car moving towards a cliff sounds its horn. The driver observes that the sound reflected from the cliff hasa pitch one octave higher than the actual sound of the horn. If v is the velocity of sound then the velocity of the car

is

(1) v

2(2)

v2

(3) v3

(4) v4

21. An ultrasonic burglar alarm in still air transmits a signal at a frequency of 4.5 104 Hz, part of which is reflectedby the burglar to receiver along side the transmitter. The alarm is triggered by any beat frequency greater than

5 Hz. Velocity of sound in air is 340 m/s. The minimum velocity of approach of the burglar to activate the

alarm, will be

(1) 0.2 ms1 (2) 4 cms1 (3) 2 ms1 (4) 20 mm s1

22. A car moves towards a hill with speed vC. It blows a horn of frequency f which is heared by an observer followingthe car with speed v0. The speed of sound in air is v.

(i) The wavelength of sound reaching the hill is vf

(ii) The wavelength of sound reaching the hill is - Cv vf

(iii) The beat frequency observed by the observer is 0

0

v vf

v v

+ -

(iv) The beat frequency observed by the observer is ( )C 02 2

C

2v v v f

v v

+-


(1) (ii), (iv) (2) (i), (ii), (iii) (3) (ii), (iii) (4) (i), (iv)

23. A wave equation is given as y = cos(500t 70x), where y is in mm, x in m and t is in sec.

(i) The wave must be a transverse propagating wave

(ii) The speed of the wave is 50/7 m/s

(iii) The frequency of oscillations is 100p Hz(iv) Two closest points which are in same phase have separation 20p/7 cmThe correct option is :-

(1) (i) & (ii) (2) (ii) & (iii) (3) (i), (ii) & (iv) (4) (ii), (iii) & (iv)

Path to Success


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20/91

PHYSICS

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24. The second overtones of an open organ pipe A and a closed pipe B have the same frequency at a giventemperature. It follows that the ratio of the

(i) length of A and B is 4 : 3 (ii) fundamental frequencies of A and B is 5 : 6

(iii) length of B to that of A is 5 : 6 (iv) frequencies of first overtone of A and B is 10 : 9


(1) (i) & (ii) (2) (ii) & (iii)

(3) (i), (ii) & (iv) (4) (iii) & (iv)

SHORT ANSWER TYPE QUESTIONS

1. Prove that about any point the total angular momentum of two particles moving with linear momentum ofsame magnitude in opposite direction remains constant. [AIPMT MAINS - 2004]

2. How does torque related to (i) angular momentum and (ii) angular acceleration [AIPMT MAINS - 2004]

3. Define (i) Steady state and (ii) Temperature gradient in conduction of heat through a conducting rod.


4. If earth is assumed to be a sphere of uniform density then plot a graph between acceleration due to gravity(g), and distance from the centre of earth. [AIPMT MAINS - 2006]

5. Are there any physical quantities out of the following which have the same dimensions? If yes, identifythem. Impulse, torque, angular momentum, energy, force, moment of inertia. [AIPMT MAINS - 2007]

6. Show that for a monoatomic gas the ratio of specific heat at constant pressure to specific heat atconstant volume is 1.67. [AIPMT MAINS - 2007]

7. Can it be possible to boil water without heating ? Explain. [AIPMT MAINS - 2007]

8. Three vectors A, B and Cr rr

are such that A B C= +r rr

and their magnitudes are in ratio 5 : 4 : 3 respectively.

Find angle between vector Ar

and Cr


( * ) Marked questions are only for AIIMS

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21/91

AIPMT MAINS - XII

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1. The value of R so that same amount of heat [AIPMT MAINS - 2004]

is dissipated in R and rest of the circuit, is :-

(1) 4 W (2) 8 W (3) 3 W (4) 5 W

2. Two voltameters are connected in series in which Ag and Cu deposited on respective electrodes. The deposited

mass ratio of Cu and Ag, is :- [AIPMT MAINS - 2004]

(1) Cu

Ag

A2A (2)

Cu

Ag

2AA (3)

Cu

Ag

4AA (4)

Cu

Ag

A4A

3. For shown circuit :- [AIPMT MAINS - 2004]

(1) Current in circuit is 10A

(2) Voltage across inductor is 100V(3) Voltage across capacitor is 200V(4) Voltage on capacitor is more than that of supply voltage because the phase

difference between VL and VC is 180

4. If bigger hollow sphere has charge Q then the charge on inner earthed sphere, is :- [AIPMT MAINS - 2004]

(1) R

Qr

(2) R

Qr

(3) r

QR

(4) r

QR

5. The magnetic field at point P, is :- [AIPMT MAINS - 2004]

(1) mp e0I

2 d(2)

mp e0I

4 d

(3) m p

0I2 d

(4) m p

0I4 d

6. For the given circuit

(1) The phase difference between IL & IR1 is 0

(2) The phase difference between VC & VR2 is 90

(3) The phase difference between IL & IR1 is 180

(4) The phase difference between VC & VR2 is 180 [AIPMT MAINS - 2004]

7. The electric field in a region is radially outward with magnitude E = Ar . The charge contained in a sphere ofradius a centred at the region is :- (Take A = 1000 V/m2 and a = 30 cm) [AIPMT MAINS - 2005]

(1) 2 109 C (2) 3 109 C (3) 5 109 C (4) 6 109 C

ELECTRODYNAMICS

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8. Four bulbs with rating 60 W220V are connected in series to a source of EMF 220 V. The total dissipationof power in the circuit, is :- [AIPMT MAINS - 2005]

(1) 5 W (2) 10 W (3) 15 W (4) 20 W

9. The radius of a coil decreases steadily at the rate of 102 m/s. A constant and uniform magnetic field of in-duction 103 Wb/m2 acts perpendicular to the plane of the coil. The radius of the coil when the induced e.m.f.

in the coil is 1mV, is :- [AIPMT MAINS - 2005]

(1) p2

cm (2) p3

cm (3) p4

cm (4) p5

cm

10. In a parallel plate air capacitor, a cathode beam comprising n = 106 electrons is emitted with a velocityv0 = 10

8 m/s into the space between the plates. The potential difference between the plate is f = 400 V, theseperation between the plates is d = 2 cm and the area of each plate is l2 = 100 cm2. The deflection of the

electron beam, is :- [AIPMT MAINS - 2005]

(1) 1.6 mm (2) 1.76 mm (3) 0 mm (4) 5 mm

11. In a series L.C.R. a.c. circuit at offresonance, the value of the angular frequency for which the some voltageleads the current in the circuit, is :- [AIPMT MAINS - 2005]

(1) w < 1

LC(2) w >

1

LC(3) w =

1

LC(4) None of these

12. An alternating current of 40 A flows through a silver voltameter for 15 minutes. The electrochemical equiva-lent of silver is 1118 106 kg/C. The amount of silver which is liberated, is:- [AIPMT MAINS - 2005]

(1) 4 g (2) 2 g (3) 8 g (4) No sliver is liberated

13. A cube of side 20 cm has its center at the origin and its one side

is along the x-axis, so that one end is at x=+10cm and the other is at x=

10cm. The magnitude of electric field is 100 N/C and for x>0 it is point-

ing in the +ve x- direction and for x

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15. A semi circular loop is given in fig. with current I and having radius R. The value of magnetic induction at D,is :- [AIPMT MAINS - 2006]

(1) 0I

Rm

(2) 0I

4Rm

(3) 0I

3Rm

(4) 0I

2Rm

16. In the series LCR circuit at resonance the applied a.c. voltage is 220V. The potential drop across Ris :- [AIPMT MAINS - 2006](1) 200 V (2) 400 V (3) 220 V (4) 440 V

17. The coercivity of a bar magnet is 2 103 A/m. It is placed lengthwise in an ideal solenoid of length15 cm having 150 turns. The current required in the solenoid to fully demagnetise the magnet is :-


(1) 1 A (2) 2 A (3) 3 A (4) 4 A18. A solid conducting sphere of radius a has charge +q. The sphere is surrounded concentrically by a conducting

shell of inner and outer radii r and R respectively. The electric potential at a point which is at a distance x,

(r < x < R), from the centre of the sphere is :- [AIPMT MAINS - 2007]

(1) 0

q4 Rpe (2) 0

3q4 Rpe (3) 0

8q4 Rpe (4) 0

5q4 Rpe

19. A conducting sphere is placed in air of dielectric strength 3 106 volt/m. The minimum radius of the spherethat can be raised to a potential of 9 million volts is :- [AIPMT MAINS - 2007]

(1) 1 m (2) 2 m (3) 3 m (4) 4 m

20. There are 10 turns in coil M and 15 turns in coil N. If a current of 2A is passed through coil M then the fluxlinked with coil N is 1.8 103 Wb. If a current of 3A is passed through coil N then flux linked with coil M

is :- [AIPMT MAINS - 2007]

(1) 1.7 103 Wb (2) 2.7 103 Wb (3) 1.7 105 Wb (4) 2.7 105 Wb

21. When a current of 4 A flows within a battery from its positive to negative terminal, the potential differenceacross the battery is 12 volts. The potential difference across the battery is 9 volts when a current of 2 A flows

within it from its negative to its positive terminal. The internal resistance and the e.m.f. of the battery are :-(1) 0.1 W, 4V (2) 0.2 W, 5V [AIPMT MAINS - 2007](3) 0.5 W, 10V (4) 0.7 W, 10V

22. The magnetic force between wires as shown in figure is :- [AIPMT MAINS - 2007]

Li

I

x

(1) 2

0iI xn2 2x

m + p

l

l (2) 2

0iI 2xn2 2x

m + p

l

l (3) 0iI xn

2 xm +

pl

l (4) None of these

23. A condenser of capacity 6 F is fully charged using a 6-volt battery. The battery is removed and aresistanceless 0.2 mH inductor is connected across the condenser. The current which is flowing through theinductor when one-third of the total energy is in the magnetic field of the inductor is :-


(1) 0.1 A (2) 0.2 A (3) 0.4 A (4) 0.6 A

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24. Two small electric dioples, one of dipole moment pr

1 at point A and the other of dipole moment pr

2 at point

B, are as shown in the figure. The torque experienced by the dipole pr

2 is :-

x

p1 p2[AIPMT MAINS - 2008]

(1) Zero (2) (3) Can't determined (4) None of these25. A conducting coil is bent in the form of equilateral triangle of side 5 cm. Current flowing through it is 0.2 A.

The magnetic moment of the triangle is :- [AIPMT MAINS - 2008]

(1) 3 102 Am2 (2) 2.2 104 Am2 (3) 2.2 102 Am2 (4) 3 104 Am2

26. A right circular cylinder of length 2a cm and radius r cm has its centre at the origin O and its axis along the x-axis so that one flat face is at x = +a cm and the other is at x = a cm as is shown in the figure. It is placed

in a uniform electric field xE E i=r

NC1 for x > 0 and xE E i= -r

NC1 for x < 0. Then [AIPMT MAINS - 2008]

E

y

aO

a

E

(1) The net outward flux through each flat surface is Eapr2 106 Nm2/C(2) The net outward flux through curved surface of the cylinder is zero(3) The net charge inside the cylinder is Ear

2 5 1015 C(4) The net charge inside the cylinder is Ear

2 25 1015 C27. A circular coil of 500 turns encloses an area of 0.04 m2. A uniform magnetic field of induction

0.25 Wb/m2 is applied perpendicular to the plane of the coil. The coil is rotated by 90 in 0.1 second at aconstant angular velocity about one of its diameters. A galvanometer of resistance 25W was connected in serieswith the the coil. The total charge that will pass through the galvanometer is - [AIPMT MAINS - 2008](1) 0.4 C (2) 1 C (3) 0.2 C (4) Zero

28. An LCR series circuit having 220 V ac source, inductance L = 25 mH and resistance R = 100W. If voltageacross inductor is just double of voltage across resistor then frequency of source is nearly :-

[AIPMT MAINS - 2008](1) 1273.88/s (2) 1473.88/s (3) Zero (4) None of these

29. A periodic voltage V varies with time t as shown in the figure. T is the time period. The r.m.s. value of thevoltage is :- [AIPMT MAINS - 2008]

V0

T/4 T

V

t

(1) 0V8

(2) 0V2

(3) V0 (4) 0V

4

30. For given circuit 50VP 5W I1

3W

15W

I2

I3

0V

30V

Vs

Q

R


(1) Value of VS is 20 V (2) Value of I1 is 5 A(3) Value of I2 is 9 A (4) Power drawn by circuit is 640W

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31. Two identical conducting spheres M and N has charges qm and qn respectively. A third identical neutral sphereP is brought in contact with M and then seperated. Now sphere P is brought in contact with N then final chargeon sphere P is - [AIPMT MAINS - 2009]

(1) +m nq 2q4

(2) +m nq q4

(3) + nmq

q2

(4) +m nq 2q2

32. When a 2W resistance is connected to a cell then 2A current flow in it and when 9W resistance is connectedto cell then 0.5 A current flow in it. Internal resistance of cell is - [AIPMT MAINS - 2009]

(1) 1W (2) 2W (3) W13

(4) W14

33. Efficiency of a transformer is 80% and primary and secondary coil has 30 and 120 turns respectively. Currentin secondary coil is 0.25A. Current in primary is - [AIPMT MAINS - 2009]

(1) 1.25 A (2) 1.5 A (3) 1.75 A (4) 2A

34. Current changes in time interval 5 sec. from 4A to 2A in a coil of self inductance 0.1 H. Induced emf in coilis - [AIPMT MAINS - 2009]

(1) +0.04 volt (2) +1.2 volt (3) +2 volt (4) 3.2 volt

35. A circuit is arranged as shown. Then, the current from A to B is

(1) +500 mA

(2) +250 mA

(3) 250 mA

(4) 500 mA

36. In the circuit shown below, the current that flows from a to b whenthe switch S is closed, is

(1) 1.5 A

(2) + 1.5A

(3) +1.0 A

(4) 1.0 A

37. Given two different ammeters in which the deflection is proportional to current and the scales are uniform.Information I : The ammeters are connected in series between point A and B together with R1 and R2. Inthis case the reading of the ammeters are A1 and A2.

Information II : The ammeters are connected in parallel between A and B together with R1 and R2. In this

case, the reading of the ammeters are A3 and A4.

The value of R2 in terms of R1, A1,A2, A3 and A4 will be

(1) 1 2

2 13 4

A AR R

A A = (2)

1 42 1

2 3

A AR R

A A = (3)

2 32 1

1 4

A AR R

A A = (4)

3 42 1

1 2

A AR R

A A =

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38. An equilateral triangular loop of wire of side l carries a current i. The magnetic field produced at the circumcenterof the loop is

(1) 03 3im

4p l (2) 0 9im

4p l (3) 0 18im

4p l (4) 0 6im

4p l39. Two cylindrical straight and very long non magnetic conductors A and B, insulated from

BAx

y

each other, carry a current I in the positive and the negative zdirection respectively.The direction of magnetic field at origin is :

(1) i- (2) i+ (3) j (4) j40. Switch S is closed at t=0. After sufficiently long time an iron rod is inserted

into the inductor L. Then, the light bulb(1) Glows more brightly

(2) Gets dimmer

(3) Glows with the same brightness(4) Gets momentarily dimmer and then glows more brightly

41. The instantaneous magnitudes of the electric field (E) and the magnetic field (B) vectors in an electromagnetic wavepropagating in vacuum are related as

(1) B

Ec

= (2) E=cB (3) 2B

Ec

= (4) E=c2B*42. In the given circuit, the capacitor of capacitance C is charged by closing key K at t = 0. Find the time required

to charge the capacitor upto maximum charge for the given circuit, if it were to be charged with the constantinitial charging rate at t = 0 in the given circuit.

(1) RC3

(2) 2RC

5

KE

2R

C R

R

(3) 2RC

3(4)

5RC3

43. A small square loop of side l is placed inside a large square loop of wire L(>>l). The loops are coplanar andtheir centres coincide. The mutual inductance of the system is proportional to

(1) (l/L) (2) (l2/L) (3) (L/l) (4) (L2/l)

44. An electron moving in a circular orbit of radius R makes n revolution per second. The magnetic field strength atthe centre has magnitude

(1) 02 ne

Rm

(2) 0ne

2Rm

(3) 0neR

mp (4) zero

45. There are four arrangements of three fixed point electric charges. In each arrangement, a point labeled P isalso identified as test charge, +q, is placed at point P. All of the charges are the same magnitude, Q, but theycan be either positive or negative as indicated. The charges and point P all lie on a straight line. The distancesbetween adjacent items, either between two charges or between a charge and point P, are all the same.

I. + + +P

II. + +P

III. + +P

IV. P

++

Correct order of choices in a decreasing order of magnitude of force on P is(1) II > I > III > IV (2) I > II > III > IV (3) II > I > IV > III (4) III > IV > I > II

*46. In the circuit shown, X is joined to Y for a long time, and then X is joined to Z.The total heat produced in R2 is

(1) 2

21

L2R

e(2)

2

22

L2R

e

e

R2

R1

X Z

Y

L

+ -(3)

2

1 2

L2R R

e(4)

22

31

L R2Re

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*47. In the circuit shown, the cell is ideal. The coil has an inductance of 4H andzero resistance. F is a fuse of zero resistance and will blow when the currentthrough it reaches 5A. The switch is closed at t=0. The fuse will blow(1) almost at once (2) after 2 sec L=

4H

S

+- E=

2V F

(3) after 5 sec (4) after 10 sec*48. In the circuit, if no current flows through the galvanometer when the key K is

closed, the bridge is balanced. The balancing condition for bridge is

(1) 1 1

2 2

C RC R

= (2) 1 22 1

C RC R

= C2C1

R1 R2

K

G

(3) 2 21 12 22 2

C RC R

= (4) 21 222 1

C RC R

=

*49. The figure shows, two point charges q1 = 2Q (>0) and q2 = Q. The charges divide the line joining them in threeparts I, II and III(1) Region III has a local maxima of electric field(2) Region I has a local minima of electric field

+ 2Q QI II III

(3) Equilibrium position for a test charge lies in region II(4) None of these

50. In the figure shown, the equilibrium of proton p is neutral with respect to itsdisplacement along

(1) xaxis

z-axis

x-axis

y-axis

(0,a)

(0,a) ( 0)a,

( 0)a,q

q

q

qp

O

(2) yaxis

(3) zaxis

(4) At 45 with xaxis in xy plane

*51. The plates of very small size of a parallel plate capacitor are charged as shown. The Q Q

l

qforce on the charged particle of charge q at a distance l from the capacitor is :

(Assume that the distance between the plates is d

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56. A particle of mass m and positive charge q is projected horizontally from height h with velocity v0 as shown infigure. A uniform electric field is acting in +ve xdirection. When the particle reaches at points B then find outtime taken by the particle to reaches at point B

(1) 0qE

vm

(2) 2hg (3) 0

mv

qE (4) h

2g

57. In question 56, the xcoordinate of point B

(1) 02h

vg (2)

qE 2hm g

(3) 0

2h qEhv

g 2mg+ (4) 0

2h qEhv

g mg +

58. In question 56, work done by electric field

(1) 02h qEh

qE vg mg

+ (2) 0

h 2qEhqE v

g mg

+ (3) 0

h 2qEhqE v

2g mg

+ (4) 0

h qEhqE v

g 2mg

+

59. The electric dipole is a system of two charges +q and q, separated

by a certain distance l. When the dipole field is considered, it is

assumed that the dipole itself is point like i.e. the distance r from

the dipole to the point under consideration is assumed to be much

greater than l. Electric dipole moment of the dipole defined as

p q=rr

l . Electric potential due to dipole at P is

(1) 20

psin4 r

qp (2) 20

pcos4 r

qp (3) 20

p4 rp (4) 20

psin cos4 r

q qp

60. In question 59, electric field due to dipole at P is

(1) 2

30

p 1 3sin4 r

+ qp (2)

2

30

p 1 3cos4 r

+ qp (3)

2 2

30

p sin 3cos4 r

q + qp (4) None of these

61. In question 59, find the force of interaction between an electric dipole of dipole moment p and a point chargeQ separated by a distance r. The charge Q lies on the dipole axis.

(1) 30

2Qp4 rp

r

(2) 30

2Qp4 r

-p

r

(3) 30

Qp4 rp

r

(4) 30

Qp4 r

-p

r

62. Three identical metal plates with large surface areas are kept parallel to eachother as shown in figure. The leftmost is given a charge Q, the rightmost acharge 2Q and the middle one remains neutral. The charge appearing onouter surface of rightmost plate is

(1) Q (2) Q2

- (3) 3Q2

(4) 3Q2

-

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63. In question 62, the charge appearing on left surface of middle plate is

(1) Q (2) Q2

- (3) 3Q2

(4) 3Q2

-

64. In question 62, the charge appearing on outer surface of leftmost plate is

(1) Q (2) Q2

- (3) 3Q2

(4) 3Q2

-

65. Five identical capacitor plates, each of area A, are arranged such that

adjacent plates are at d distance apart. Plates are connected to a source

of emf V as shown in figure. The charge on plate 1 is

(1) 0AV

d

(2) 0

2 AV

d

(3) 0

AV

d

- (4) 02 AV

d

-

66. In question 65, the charge on plate 4 is

(1) 0AVd

(2) 0

2 AVd

(3) 0

AVd

- (4) 02 AV

d-

67. In question 65, total electrostatic energy stored in the system is

(1) 2

0A V2d

(2) 2

02A Vd

(3) 2

0A V10d

(4) 2

03A V2d

68. A battery is connected across a conductor as shown in the figure. Electric current from A to B

r2B

A

E

r1P

(1) will increase continuously (2) will decrease continuously

(3) remains constant (4) None of these

69. In question 68, drift velocity of electrons from A to B(1) will increase (2) will decrease (3) remains constant (4) cant be predicted

70. In question 68, let a point P is midpoint of l if time taken by electron to travel from A to P is t1 & P to B is t2.Then

(1) t1 = t2 (2) t1 > t2 (3) t1 < t2 (4) data insufficient71. You are given 5 identical batteries of emf e and internal resistance r. If all the batteries are arranged in series

with same polarities then the equivalent emf and equivalent resistance of the combination will be respectively :

(1) 5e, 5r (2) e, 5r (3) 5e, r (4) 5e, r5

72. In question 71, if all the batteries are connected in parallel with same polarities then the equivalent emf andequivalent resistance of the combination will be respectively :

(1) e, 5r (2) e, r/5 (3) 5e, r (4) 5e, 5r

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73. In question 71, if the 5 batteries are arranged as shown then the equivalent emf and resistance of the combinationwill be respectively :

(1) 3e, 3r (2) 3e, 7r3

(3) 7r

5 ,3

e (4) 7 7r,3 3e

74. The water in an electric kettle begins to boil in 15 minutes after being switched on. If the water is to boil in 10minutes using the main supply, the length of the heating element be

(1) Increased to 32

of its initial value (2) Decreased to 23

of its initial value

(3) Increased to 54

of its initial value (4) Decreased to 45

of its initial value

75. n identical bulbs, each designed to draw power P from a certain voltage supply, are joined in series across thatsupply. The total power which they will draw is(1) nP (2) P (3) P/n (4) P/n2

76. In the circuit shown, the heat produced in 5W resistor due to current flowing in it is 10 cal/sec. The heatgenerated in 4W resistor is

(1) 1 cal/sec (2) 2 cal/sec (3) 3cal/sec (4) 4 cal/sec*77. In given circuit, 7 resistors of resistance 2W each and 6 batteries of 2V each, are joined together. The potential

difference VD VE is

A B C D2V 2V 2V

2V 2V 2VH G F E

2W 2W 2W 2W 2W 2W 2W

(1) 5

V6

(2) 6

V7

(3) 5

V6

- (4) 22 V9

-

*78. In question 77, the current through branch BG is(1) 1A (2) 0.2A (3) 0.6 A (4) 0.4A

*79. In question 77, the current through battery between A & B is(1) 0.4 A (2) 0.8 A (3) 0.6 A (4) 1 A

*80. In the circuit shown in figure, the battery is an ideal one with emf V.R/2 A 5R/2

R

R/2

V

B

S

CThe capacitor is initially uncharged. The switch S is closed at time t = 0.

Time constant of charging ciruit is(1) 3RC (2) 2RC (3) RC (4) None of these

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*81. In question 80, the charge Q on the capacitor at time t is

(1) t

RCCV 1 e

2

- - (2) t

3RCCV 1 e

2

- - (3) 2t

5RCCV 1 e

2

- - (4) 2t

9RCCV 1 e

2

- -

*82. In question 80, what is the limiting value at t of current in AB?

(1) V

2R(2)

VR

(3) 2VR

(4) V3R

*83. For the shown arrangement of capacitors, switch S is closed at t=0. Final charge on 6mF capacitor, is

(1) 6 mC (2) 8 mC (3) 12 mC (4) 4 mC*84. In question 83, final potential difference across the 3mF capacitor, is

(1) 5V (2) 3V (3) 2V (4) Zero

*85. In question 83, the fraction of energy lost is

(1) 14

(2) 1

2(3)

12

(4) 2

86. When a current carrying conductor dl is placed in a magnetic field Br

, the force experienced by it is given by

( )F I d B= uurr rl . Choose the correct statement(1) Angle between F

r

& Br

may have any value

(2) Angle between Fr

& Br

must be 90 but Fr

is in plane of d & Buur ur

l


& Br

must be 90 but Fr

is perpendicular to plane of d & Buur ur

l


& Br

depends on the direction of current flow

87. In the figure shown semicircular wire loop is placed in a uniform magnetic field B=1.0 T, r=1m and currenti=2A. Magnitude of the magnetic force is

(1) 4N (2) 8N (3) 16N (4) zero

88. In question 87, if the current flows in semicircular loop in clockwise direction but in reverse sense in straight wire

of same magnitude of 2A then the magnitude of the magnetic force is

(1) 4N (2) 8N (3) 16N (4) zero

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89. Our earth behaves as it has a powerful magnet within it. The value of magnetic field on the surface of earth isa few tenth of gauss (1G=104T) There are three elements of Earths magnetism

(i) Angle of declination

(ii) Angle of dip

(iii) Horizontal component of Earths magnetic field.

In the magnetic meridian of a certain place, the horizontal component of Earths magnetic field is 0.6 G and

the dip angle is 53. The value of net magnetic field at this place is

(1) 0.8 G (2) 0.6 G (3) 1.0 G (4) 2.0 G90. A magnetic needle suspended in a vertical plane at 37 from the magnetic meridian makes an angle of 45

with the horizontal. Find the true angle of dip

(1) 14

tan5

- (2) 1 5tan

4- (3)

1 4tan3

- (4) 1 3tan

4-

91. A short bar magnet is placed with its north pole pointing north. The neutral point is 10 cm away from thecentre of magnetic. If BH = 0.4 G, calcualte the magnetic moment of the magnet

(1) 0.6 A-m2 (2) 0.4 Am2 (3) 0.8 A-m2 (4) None of these

92. A conducting square wire frame ABCD of side l is pulled by horizontal force sothat it moves with constant velocity v. A uniform magnetic field of strength Bis existing perpendicular to the plane of wire. The resistance per unit lengthof wire is l and negligible self inductance. If at t= 0, frame is just at the

boundary of magnetic field. Then the emf across AB at t = 2vl

is

(1) Bv4

l

(2) zero (3) Bvl (4) None of these

93. In question 92, potential difference across BC at time t = 2vl

is

(1) Bv4

l

(2) Bvl (3) 3Bv

4l

(4) None of these

94. In question 92, find the applied horizontal force on BC, (F) as a function of time 't' (t < vl

)

(1) 2B v

tll

(2) 2B v2l

l

(3) 2B v4l

l

(4) None of these

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95. A cylindrical space of radius R is filled with a uniform magnetic induction B parallel to the

axis of the cylinder. If dBdt

= constant, the graph, showing the variation of induced

electric field with distance r from the axis of cylinder, is

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

96. A square conducting loop is placed in the time varying magnetic field

dBve constant

dt = + . The centre of square coincides with axis of

cylindrical region of magnetic field. The directions of induced electric

field at point a, b and c.

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

97. A line charge l per unit length is pasted uniformly onto the rim of a wheel of

mass m and radius R. The wheel has light nonconducting spokes and is free

to rotate about a vertical axis as shown in figure.A uniform magnetic field B

exist as shown in figure. What is the angular velocity of the wheel when the

field is suddenly switched off?

(1) 22 a B

mRpl

(2) 2a B

mRpl

(3) 23 a B

mRpl

(4) 2a B

2mRpl

98. A uniformly wound solenoidal coil of self inductance 1.8 104 H and resistance 6W is broken up into twoidentical coils. These identical coils are then connected in parallel across 12V battery of negligible internal

resistance. Values of equivalent resistance and equivalent inductance are respectively

(1) 1.5 W, 4.5 105 H (2) 3 W, 9 105 H (3) 6W, 1.8 104 H (4) 12W, 3.6 104 H

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99. In question 98, time constant for the circuit is

(1) 15 ms (2) 45ms (3) 30ms (4) 60 ms

100. In question 98, steady state current through the battery is

(1) 12A (2) 8A (3) 2A (4) 4A

101. The mean and rms value of an alternatic current as shown in figure are

(1) 0 02I

,I 2p (2) 0

0

4I, Ip (3)

0 0I I,2p (4)

0 02I I,2p

102. The mean and rms value of an alternating voltage as shown in figure then

(1) V0, V0 (2) 0

0

V,V

2(3) 0 0

3V V,

2 2(4) 0 0

V V,

4 2

103. The mean and rms value of an alternating voltage as shown in figure then

(1) 0 0V V

,3 2

(2) 0 0V V,2 3

(3) 0 0V V

,2 3

(4) 0 0V V,

2 3

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104. Many ac circuits used in practical electronic systems involve resistance, inductive reactance, and capacitivereactance. A simple example is a series circuit containing a resistor, an inductor, a capacitor, and an ac source,as shown in figure. To analyze this and similar circuits, we will use a phasor diagram that includes the voltageand the current phasors for each of the components. In this circuit, because of Kirchhoffs loop rule, theinstantaneous total voltage Vad across all the three components is equal to the source voltage at that instant. Wewill show that the phasor representing this total voltage is the vector sum of the phasors for the individual

voltages. Impedance of circuit 2

2 2 2 1Z R X R LC

= + = + w - w If w is small then impedance will be mainly

decided by

(1) R and wL (2) R and 1Cw (3)

1L and

Cw w (4) None of these

105. In question 104, if w is large then impedance will be mainly decided by

(1) R and wL (2) R and 1Cw (3)

1L and

Cw w (4) None of these

106. In question 104, if Vs = 200 sin 100t, R= 500 W, L = 10 H and C = 20 mF, find the value of impedance ofcircuit.

(1) 500 W (2) 500 2W (3) 1000 W (4) 825 W

*107.A voltage source V = V0 sin (100 t) is connected to a black box in which there can be either one element out ofL,C,R or any two of them connected in series.

Black Box

~V=V sin(100t)0

V/i

V =100V0 source voltage

current inthe circuit t(sec.)

p400

sec

i = 2A0

At steady state the variation of current in the circuit and the source voltage are plotted together with time, using

an oscilloscope, as shown. The element(s) present in black box is/are :

(1) only C (2) L and C (3) L and R (4) R and C

*108. In question 107, values of the parameters of the elements, present in the black box are :

(1) R = 50W, C=200 mF (2) R = 50W, L = 2mH (3) R = 400 W, C = 50mF (4) None of these

*109. In question 107, if AC source is removed, the circuit is shorted and then at t=0, a battery of constant emf is

connected across the black box. The current in the circuit will

(1) Increases exponentially with time constant = 0.02 s (2) Decrease exponentially with time constant = 0.01 s

(3) Oscillate with angular frequency 20 s1 (4) First increase and then decrease.

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110. In the shown figure, all batteries are ideal

Column I Column II(i) Current through 5V cell is (P) 5A

(ii) Current through 10V cell is (Q) 10A

(iii) Current through 15V cell is (R) 15A

(iv) Current through 30V cell is (S) 20A

(v) Current through 25V cell is


(1) (i) P, (ii) P, (iii) P, (iv) P, (v) Q (2) (i) P, (ii) R, (iii) S, (iv) P, (v) Q

(3) (i) R, (ii) P, (iii) Q, (iv) R, (v) Q (4) (i) P, (ii) Q, (iii) P, (iv) Q, (v) Q

111. Magnetic flux in a circular coil of resistance 10Wchanges with time as shown in figure. directionindicates a direction perpendicular to paper inwards. 2 6

8 10 14 16

f(Wb)

10

10t(s)

ColumnI ColumnII

(i) At 1 second induced current is (P) Clockwise

(ii) At 5 second induced current is (Q) Anticlockwise

(iii) At 9 second induced current is (R) 0.5 A

(iv) At 15 second induced current is (S) 5 A

(T) None of these

The correct option is :-(1) (i) PQ, (ii) PR, (iii) RS, (iv) PT (2) (i) QR, (ii) T, (iii) PR, (iv) QR(3) (i) PR, (ii) P, (iii) Q, (iv) RT (4) (i) P, (ii) Q, (iii) P, (iv) QS

112. A galvanometer has a coil of resistance 100 W showing a fullscale deflection at 50 mA.(i) The resistance needed to use it as a voltmeter of range 50 volt is 106 W.(ii) The resistance needed to use it as a voltmeter of range 50 volt is 105 W(iii) The resistance needed to use it as an ammeter of range 10 mA is 0.5 W(iv) The resistance needed to use it as an ammeter of range 10 mA is 1.0 WThe correct option is :-(1) (i) & (iii) (2) (i) & (iv) (3) (ii), (iii) & (iv) (4) (i), (iii) & (iv)

*113.A step voltage V0 is applied to a series combination of R and C as shown in the figure. Then,

(i) After sufficiently long time VR = 0 (ii) As time passes VR decreases as (1/t)(iii) After 1 ms, VC = 6.3 volt (approximately) (iv) Initially current through R is 10 mAThe correct option is :-(1) (i), (ii) & (iii) (2) (i) & (iv) (3) (ii), (iii) & (iv) (4) (i), (iii) & (iv)

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114. A capacitor of capacitance C is charged to a potential difference V0. The charging battery is disconnected andthe capacitor is connected to a uncharged capacitor of unknown capacitance Cx. The final potential differenceacross the combination is V, after the switch S is closed, then:

(i) ( )0

x

C V VC

V

-=

(ii) Final energy stored is 01

CV V2

CXC

S

+(iii) Heat generated in the circuit is

( )0 0CV V V2

-

(iv) Heat generated in the circuit is 0CV V

2The correct option is :-

(1) (i), (ii) & (iii) (2) (i) & (iv) (3) (ii), (iii) & (iv) (4) (i), (iii) & (iv)

115. In the diagram shown, in steady state

(i) Charge on 1 mF capacitor is 1 mC(ii) Charge on 2 mF capacitor is 2 mC

2 Fm

2W 3W

1mF

3W 2W

3mF

6V, 0.5W(iii) Charge on 3 mF is zero(iv) Potential difference across 2mF capacitor is 2 voltThe correct option is :-

(1) (ii) & (iii) (2) (i) & (iv) (3) (ii), (iii) & (iv) (4) (i), (iii) & (iv)

116. In

allenphysics-iitjeebooksfree.blogspot.com.pdf

Documents

time t

10ms2 aipmt mains

point p

rtaipmt mains

p q8ht t

p q2ht t

p q6ht t

point q