8/11/2019 AITS 1 MED

1/22

SPACEFORROUGHWORKS

SECTION - A : (PHYSICS)

01. A small block of mass m slides down a circular path of radius R cut into a large block of mass M.

The large block rests on a table and both blocks move without friction. Both the blocks are initially at

rest and the small block starts moving from top of the path. The velocity V with which the small block

leaves the large block is :

R

R

M

(a)Mm

gRm2 (b)

Mm

gR

1

2

(c)MgRm2 (d)

mgRM2 .

8/11/2019 AITS 1 MED

2/22

SPACEFORROUGHWORKS

02. After falling freely from rest through a height h a body of mass m begins to raise a body of mass M

(M > m) connected to it by means of a ligth and inextensible string passing through a pulley. The time

after which the body of mass M will return to its original position is :

M

m

h

(a)g

h

mM

m 22

(b) gh

mM

m 2

(c) gh

Mm

M 2

(d) gh

mM

m 2

.

8/11/2019 AITS 1 MED

3/22

SPACEFORROUGHWORKS

03. Two masses A & B connected with an inextensible string of length l lie on a smooth table. A is given

a velocity V along the table perpendicular to line AB as shown in figure. The tension in the string

during their subsequent motion is :

(a)l

mv

3

2

(b)l

mv

3

2 2(c)

l

mv

2

3 2(d)

l

mv

9

4 2.

04. Two persons A & B having masses 50 kg and 70 kg are in a rowboat of mass 80 kg on a Calm lake.

A is at the centre of the rowboat & B is at the right edge, 2 m from the centre. Initially the system is at

rest. Now both the persons exchange their places. If no external horizontal force act on the system the

displacement of the row boat is :

(a) 0.6 m towards left (b) 0.2 m towards left

(c) 1 m towards left (d) 0.75 m towards.

8/11/2019 AITS 1 MED

4/22

SPACEFORROUGHWORKS

05. A large ring of mass M is kept on a smooth table . An insect of mass m, sits on the ring and begins to

move on the ring. If the the radius of the ring is R then the trajectory of centre of ring as seen by a

stationary observer on earth is :

(a) A circle of radius R (b) A circle of radius mR/m+M

(c) A circle of radius MR/m+M (d) A circle of radius mR/M.

06. A smooth ball of mass m strikes an a smooth floor with velocity V at an anglewith the normal to the

floor . If the coefficient of restitution is e then the rebound velocity of particle is :

(a) 222 cossin eV (b) V

(c) eeV 1/ (d) 222 cossin eV .

8/11/2019 AITS 1 MED

5/22

SPACEFORROUGHWORKS

07. A uniform sphere is placed on a smooth horizontal surface radius of sphere being R. A bullet moving

horizontal hits the sphere at a height habove the surface. The acceleration of centre of sphere is :

(a) maximum when h = R (b) minimum whenh= 0

(c) maximum when h= 4R/3 (d) will not depend on h.

08. An open truck of mass 5000 kg is moving initially with a velocity of 1.2 ms1on a horizontal frictionless

road. Suddenly rain falls vertically downword with a velocity of 2ms1. When the truck has collected

1000 kg of rain water in its empty space what change in its kinetic energy occured :

(a) 1200 J (b) 300 J

(c) 600 J (d) 900 J.

8/11/2019 AITS 1 MED

6/22

SPACEFORROUGHWORKS

09. The momentum and kinetic energy of a system as measured with respect to centre of mass of system

are being called here as internal momentum and internal kinetic energy of system. Which of the following

statements are true :

(a) Internal forces of the system can change the internal momentum and internal kinetic energy of

system

(b) Internal forces of the system can change the internal momentum but not the internal kinetic energy

of system

(c) External forces can change internal kinetic energy of system but not the internal momentum of

system

(d) External forces can changes both the internal momentum as well as the internal kinetic energy of

system.

10. There are some passengers inside a stationary railway compartment. The track is frictionless. The

centre of mass of the compartment without the passenger is C1while the centre of mass of the

comparments along with the passengers is C2. If all the passenger start moving inside the compartment

along the track in one direction. Then :

(a) Both C1& C

2will mover with respect to ground

(b) Neither C1nor C

2will move with respect to ground

(c) C1will move but C

2will be stationary with respect to ground

(d) C2will move but C

1will be stationary with respect to ground.

8/11/2019 AITS 1 MED

7/22

SPACEFORROUGHWORKS

11. A spaceship is travelling along +Vey axis with a velocity V0suddenly shots out one fourth of its part

with velocity 2V0along + vex axis relative to itself.x&yaxes are fixed with respect to ground . The

velocity of the remaining part relative to the ground is :

(a) 03

2V (b) 0

3

20V (c) 0

3

5V (d) 0

3

13V .

12. A block of mass m is projected with velocity V. During motion it collides with a system of 2 blocks

A & B at rest with block A kept over block B as shown in the figure. The ground is smooth but there

is frictionbetween A & B. If collison is elastic. Then the system of 2 blocks A & B, after collison will

attain a common final velocity equal to :

(a)9

4V(b)

3

2V(c)

9

2V(d)

3

4V.

8/11/2019 AITS 1 MED

8/22

SPACEFORROUGHWORKS

13. A body is dropped from the top of a tower. It covers a distanceyin first second and 7yin last second.

Time taken by body to reach the ground is :

(a) 3 s (b) 4s

(c) 5 s (d) 6s.

14. Two cars seperated by 5 km are moving in same direction with speed 40 km/hr each. Find the speedof a third car moving in opposite direction and crosses the two car at an interval of 5 min.

(a) 20 km/hr (b) 15 km/hr

(c) 10.5 km/hr (d) 25 km/hr.

15. At t = 0, a stone is dropped from the top of a high tower and simultaneously another stone is projected

vartically up with an initial velocity. The seperation s between the two stones plotted against time t will

be :

(a)

S

t

(b)

S

t

(c)

S

t

(d)

S

t

8/11/2019 AITS 1 MED

9/22

SPACEFORROUGHWORKS

16. A boat which has a speed of 5 km/hr in still water crosses a river of width 1 km along the shortest

possible path in 15 min. The velocity of the river water in km/hr is :

(a) 1 (b) 4

(c) 3 (d) 37 .

17. A body is projected at an angle of 30 with the horizontal and with a speed of 30 ms1. The angle with

the horizontal after 1.5 sec is :

(a) 30 (b) 60

(c) 90 (d) 0.

8/11/2019 AITS 1 MED

10/22

SPACEFORROUGHWORKS

18. A body is projected horizontal from the top of a tower with an initial velocity of 20 ms1. It hits the

ground at an angle of 45. Velocity of body when strikes the ground in m/s :

(a) 30 (b) 220 (c) 10 (d) 320 .

19. The time taken by projectile to reach from A to B is t. Then the distance AB is equal to :

u

C

A

6030

0

(a)2

3ut (b)

3

ut(c) ut3 (d) 2 ut.

8/11/2019 AITS 1 MED

11/22

SPACEFORROUGHWORKS

20. A particle is moving in a circle of radius 2.5 m and at a given instant of time its total acceleration is 32

m/s2. At this instant its radial acceleration is :

30

O a

V

(a) 2 m/s2 (b) 2/3 sm (c) 3 m/s2 (d) 4 m/s2.

21. The force acting on a body moving along

xaxis varies with the position of particle as shown in the figure. The body is stable equilibrium at :

x

F

x1

x2

(a)x=x1

(b)x=x2

(c) bothx1andx

2(d) neitherx

1&x

2.

8/11/2019 AITS 1 MED

12/22

SPACEFORROUGHWORKS

22. A lift is going up, the total mass of the lift with passengers is 800 kg. The variation in speed of lift is

shown in figure.

Then the tension in the rope at t= 9 s is :

2 8

V(m/s)

10

10t

(s)

(a) 7500N (b) 5000 N (c) zero (d) 2500N.

23. A horizontal force of 100 N is necessary to just hold a block stationary against a wall. If the coefficient

of friction between the block and the wall is 0.2, the weight of the block is :

100 N

(a) 2 N (b) 20 N (c) 22 N (d) 18 N.

8/11/2019 AITS 1 MED

13/22

SPACEFORROUGHWORKS

24. In the arrangement shown, the acceleration of block A and B are :

m

A

30

Bm

(a) g/3, g/6 (b) g/6, g/3 (c)2

,4

gg(d) 0, 0

25. A body is tied at the end of a string of length l and rotated in a vertical circle. The string is just taut

when body is at the highest point. Velocity of the body when the string is in horizontal position is :

(a) gl3 (b) gl

(c) gl5 (d) gl3 .

8/11/2019 AITS 1 MED

14/22

SPACEFORROUGHWORKS

26. A body of mass 4 kg is dropped from a height of 5 m from ground. The kinetic energy of body just

before it strikes the ground is : (take, g = 10 m/s2)

(a) 100 J (b) 200 J

(c) 230 J (d) 300 J.

27. A force )235( kjiF

N moves a particle from kjir 4721

to kjir 8252

m. The

work done by the force is :

(a) 18 J (b) 28 J

(c) 38 J (d) 48 J.

8/11/2019 AITS 1 MED

15/22

SPACEFORROUGHWORKS

28. A train is moving with a uniform velocity of )42( kji m/s. If the force required to overcome friction

is )23( kji N, the power of the engine is :

(a) 700 (b) 10 W

(c) 13 W (d) 15 W.

29. The ratio of energy required to accelerate a car from rest to 20 m/s to the energy needed to accelerate

from 20 m/s to 40 m/s is :

(a) 1 : 1 (b) 1: 3

(c) 1: 2 (d) 1: 4.

8/11/2019 AITS 1 MED

16/22

SPACEFORROUGHWORKS

30. If the kinetic energy of a body is 4 times its momentum, its velocity is :

(a) 2 m/s (b) 4 m/s

(c) 8 m/s (d) 16 m/s.

31. A ball released from a height of 20 m, hits the ground and rebounds to a height of 16 m. The percentage

loss of energes during collision is :

(a) 20 % (b) 40%

(c) 25% (d) 75 %.

32. A man carries a load of 50 kg to a height of 40 m in 25 sec. If the power of man is 1568 W, the mass

of the man is :

(a) 20 kg (b) 50 kg

(c) 100 kg (d) 75 kg.

8/11/2019 AITS 1 MED

17/22

SPACEFORROUGHWORKS

33. A particle of mass 0.1 kg is subjected to a force which varies with distance as shown in figure. it starts

its journery from rest atx= 0, then its velocity atx= 12 m is :

4 8

F(N)

10

12 s(m)

(a) 0 (b) 220 m/s

(c) 320 m/s (d) 40 m/s.

34. The dimensional formula for impulse is :

(a) [MLT1] (b) [ML2T1]

(c) [ML2T2] (d) [ML0T2].

8/11/2019 AITS 1 MED

18/22

SPACEFORROUGHWORKS

35. The dimensions of Plancks constant are :

(a) [ML2T1] (b) [ML3T1]

(c) [ML2T1] (d) [M0L1T3].

36. A physical quantityxdepends on quantitiesyandzas follows :x=Ay + B tan Cz, where A, B and C

are constants. Which of the following do not have the same dimensions ?

(a)xand B (b) C andx1

(c)yand B/A (d)xand A.

37. Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volume

is :

(a) 1% (b) 3%

(c) 5% (d) 7%.

8/11/2019 AITS 1 MED

19/22

SPACEFORROUGHWORKS

38. What is the maximum number of rectangular components into which a vector can be split in space ?

(a) 2 (b) 3

(c) 4 (d) Infinite.

39. Two forces each numerically equal to 10 dynes are acting as shown in the following figure, then the

resultant is :

10 dynes10

dynes

60

(a) 10 dynes (b) 20 dynes

(c) 310 dynes (d) 5 dynes.

8/11/2019 AITS 1 MED

20/22

SPACEFORROUGHWORKS

40. What is the projection of ki 43 on they axis ?

(a) 3 (b) 4

(c) 5 (d) None of these.

41. The diagonals of a parallelogram are represented by vectors kjip 345

and kjiq 23

.

Then the area of the parallelogram is :

(a) 171 unit (b) 72 unit

(c) 171 unit (d) 72 unit.

8/11/2019 AITS 1 MED

21/22

SPACEFORROUGHWORKS

42. Given that RBA

and BA

2 is perpendicular to A

. Then :

(a) 2B = R (b) B = 2R

(c) B = R (d) B2= 2R2.

43. If the vectors kjbikjia , and kcji )1,( cba are coplanar, then the value of

cba

11

1

1

1

1is :

(a) 1 (b) 0

(c) 1 (d) 3.

8/11/2019 AITS 1 MED

22/22

SPACEFORROUGHWORKS

44. A train is moving at a constant speed V. When its driver observes another train in front of him on the

same track and moving in the same direction with constant speed v. If the distance between the trains

bex, then what should be the minimum retardation of the train so as to avoid collision ?

(a) (V + v)2x (b) (V v)2/x

(c) (V + v)2/2x (d) (V v)2/2x.

45. Two wooden blocks are moving on a smooth horizontal surface such that the massmremain stationary

with respect to block of mass M as shown in the figure. The magnitude of force P is :

(a) tan)( gmM (b) tang

(c) cosmg (d) ecgmM cos)(