IIT-JEE 2012 Physics Questions

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PHYSICS 4. A particle of mass m starts from rest and

TOPIC: Work, Energy & Power

moves in a circular path of radius R with

1. A particle of mass m is pr ojected with velocity u at an angle During the period



uniform angular accelera ion

with horizontal.

energy of the particle after n revolutions is

when the particle

descends from the highest

 (b) 2n    (c) n   (d) m    (a)n

oint to the

position where velocity vect r makes an angle

. The kinetic

 with horizontal, the work done 5.

by gravitational gravitational force is

 2 2  2 2 (b) mu tan      2 2 2 (c) mu cos  tan    2 2 2 (d) mu cos sin   

A block of mass 10kg accelerates uniformly from rest to a speed of m/s in 20 second.

(a) mu tan

The average power d veloped in time interval o to 20 second is (a) 10 w

(b) 1

(c) 20 w

(d) 2

2. A block is suspended by an ideal spring of force constant K. If the block is pulled down

6. A body is moved along a straight line by a

by applying a constant for e F and if

machine delivering constant power. The

maximum displacement of block from its

distance moved by the body in time t is

initial position is x, then

proportional to

(a)

    

  

(c)

  

1/2

(b) t

3/4

(b)

(a) t

(d) none of these

Conservation of

3/2

(d)t

(d) t

2

omentum

7. Two blocks A and B of equal mass are 3.

An object is acted upon b

the forces

   and     .

If

displacement of the object is

   

   m,

the

the kinetic en rgy off the

released on two sides of a fixed wedge C. The acceleration of COM





 

(c)

   (c) down ward 

(a) downward

(b) g dow ward (d)

 do 

nward

(d)

  

11. A man of mass M stand at one end of a plank of length L which li s on a frictionless horizontal surface. The

an walks to the

8. MA= 1kg, mB= 2kg, string is light and

other end of the plank. If the mass of the

inextensible. The acceleration of COM of

plank is M/3, the dista ce that the man

both the blocks

moves relative to the gro nd is

(a)

(b)

(c)

  downward

(a) L

 downward 

(b)

 

(d)

 

12. A sphere kept on a rough inclined plane is in equilibrium by a string

(d) None of these

angle of inclination is 9. A ping-pong ball of mass m is loating in air by a jet of water emerging

out of the

nozzle. If the water strikes the ping pong ball with a speed v and just fter collision water falls dead, the rate of mass flow of water in the nozzle is equal e qual to

   (c) 

 

Rotational Motio

 downward

(a)

(c)

(b)

 

(d) None o f these

10. A small spherical ball strikes a frictionless horizontal plane with velocity v making an

 to the normal at the surface. If the

angle

coefficient of restitution is e, the particle

rapped over it. If

, the tension in the

string will be (a) mg sin



(b) 2mg/5 (c)

 

(d) None of these 13. Two small balls A and B each of mass m are connected by a light rigi

rod of length L.

The system is lying on frictionless horizontal surface. A particle of mass m collides with the

rod

horizontally

ith

velocity

v0

perpendicular to the rod and gets stuck to it, the velocities of A a d B immediately after collision





(a) VA =0, VB = V0/2 (b) VA =V0/ , VB = V0/2

rest after the impact, then find the

(c) VA =0, VB = V0

impulsive reaction at A

(d) VA=V0/2, VB= V0

14. A uniform circular disc of radi s r is placed on a rough horizontal surface and given a linear velocity v 0 and angular velocity The disc comes to rest after

.

oving some

distance towards right. It follo s that

   (b)  (a)

(c) mv (d) 2Mv

(a) 3v0=2w0r 17. The pulleys are identical , each of radius R

r

(b) 2 v 0=

and moment of inertial I. The acceleration of block M is



(c)V0 =

 

(a)



(d)2V0 = 3

15. Two discs A and B touches e ach other. A

(b)

  

(c)

 

2

rope tightly wound on a is pul ley at 2m/s . Find the friction force betwe n a and B if slipping is absent.

(d) None of these

Circular Motion 18. A particle P is moving on a circle under the action of only one for ce acting always (a) 2N

(b) 4N (c) 0.5N

(d) 3N

towards fixed point O on he circumference.

 and  is   

The ratio of 16. A uniform rod AB of length L and mass m is suspended freely at A and hangs vertically

 (b) cos2 (a) 2sin





19. A point moves along a circle h ving a radius

23. For the given arrangement the coefficient

20cm with constant tangential acceleration

of friction between the t o blocks is . The

2

5cm/s . How much time is

eeded after



blocks are identical, th

motion begins for the normal acceleration

each block is

of the point to be equal to tangential

    (b)    (c) 

acceleration? (a) 2s

(b) 4s

 s

(c)

(d)

 s

acceleration of

(a)

(d)zero 20. The bob of a simple pendulum of length 1m has mass 100gm and speed o f 1.4 m/s at lowest path in its path. The t nsion in the

(b) 2.4 N

(c) 1.2 N

(d) 0.6 N

The tension in the strin

suspended from

the ceiling is

string at this instant will be (a) 3.6 N

24. In the arrangement show in figure M>> m.

(a) 4mg (b) 2mg (c) zero

21. A particle of mass m starts t

slide down

(d) None of these

from the top of a fixed sm oth sphere. What is the acceleration when it breaks off

respectively are connected by a massless

the sphere?

 (a) 

25. Two blocks A and B of mass 2m and m

   (b) 

(c) g

 (d) 

and inextensible string. T e whole system is suspended by a massless spring. The magnitudes of accelera ion of A and B

Laws of Motion 22. A smooth rod of length l is

immediately after the ept inside a



respectively

trolley at an angle , What should be he

(a) g, g/2

acceleration a of the trolley so that the rod

(b) g/2, g

remains in equilibrium with res pect to it.

(c) g, g



(a) g tan

(d) g/2, g/2

tring is cut, are





26. Three masses m1, m2, m3 are ttached to a

29. A light passing through air has wavelength

pulley –string system. All thre e masses are

6000 Å . Wavelength whe same ray passes

held at rest and then released. To keep m3

through a glass slab of ref ractive index 1.5 is

at rest, the condition is

(a) 4000 Å

(b)2 00 Å

(c)8000 Å

(d) 1 00 Å

(a)

       

(b) m1 +m2 =m3

30. A thin lens (

     (c)         (d)   

   has power -5D in air.

Its power in a medium

f refractive index

1.6 will be

 D   (c) D 

 D   D (d) 

(a)

RAY OPTICS

  

27. When an equiconvex lens (

is

placed over a plane mirror, th n object and its image coincide at 15 cm.



(b)

hen a liquid

31. A paper weight is hemispherical with radius 3cm. It is kept on a

rinted page, the

in the gap

printed letter will appear at a heigh – from

between mirror and lens, the bject and its

the centre of the hemisp ere when viewed

image coincide at 40 cm. Find he refractive

vertically

of refractive index

index

is fille

 of the liquid

(a) 0

(b) 1cm (c) 2c

32. A ray deviates at 90

(d) -3 cm

after suffering

reflection from a mirr r. The angle of incidence is (a) 90 (a)

 

(b)

 

(c)

 

(d)

  0

28. A crown glass prism of refracti ng angle 6 is used for deviation without disp ersion with a flint glass of angle of prism glass

 =

1.513 and

 =

.

For crown

1.523. For flint

0

(b) 30

0

(c)60

0

(d) 45

0

33. To what depth can a ve sel be filled with

  ) so that it

water (

ppears half filled.

(Height of vessel is h.)

  

(a)

 

(b) h

 

(c) h

 

(d) h







mirror such that image of the t o coincides. The focal length of concave mir ror is (a) 21 cm

(b) 18 cm

(c) 15 cm

(d) None o these

(c)

 

(d)

 

39. A rectangular block of ref ractive ractive index placed on a printed

 is

age lying on a

horizontal surface as shown in fig. The 35. A prism can produce a minim m deviation

minimum value of

 so that the letter L on

 in a light beam. If three such prisms are

the page is not visible from any of the

combined, the minimum devia tion that can

vertical sides is

be produced in this beam is (a) 0



(b)



(c) 2

(d) 3



36. A convex lens forms a full i age of the object on a screen. If half o f the lens is covered with opaque paper, then

(a)

   

(b)

  

(a) the image disappears (b) half of the image is seen

   

(c)

(d)



(c) full image of same intensity is seen (d) full image with decreased intensity is seen

37. A glass slab of thickness 4 cm contains the same number of waves as 5 cm of water when both are traversed b y the same monochromatic light. If the re ractive index

40. A ray of light travels from a denser to a rarer medium. The critical angle for two media is C. The maximum possible deviation of the ray will be

  

(a)

(c) 2C

 C) (d) 

(b)





ANSWER KEY Q.NO

1

2

3

4

5

6

7

8

9

10

ANS

C

B

C

B

B

C

A

B

C

C

Q.NO

11

12

13

14

15

16

17

18

19

20

ANS

D

C

A

B

A

B

B

C

A

C

Q.NO

21

22

23

24

25

26

27

28

29

30

ANS

B

D

C

A

B

A

C

A

A

C

Q.NO

31

32

33

34

35

36

37

38

39

40

ANS

A

D

B

A

B

D

C

D

C

D

IIT-JEE 2012 Physics Questions

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