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1. Two similar balls P and Q having velocities of 0.5 m/s and -0.3 m/s respectively collide elastically. The velocities of P and Q after collision will respectively be
a. -0.5 m/s and 0.3 m/s
b. 0.5 m/s and 0.3 m/s
c. -0.3 m/s and 0.5 m/s
d. 0.3 m/s and 0.5 m/s
2. A boy is running on the plane road with velocity u, with a long hollow tube in his hand. The water is falling vertically downward with velocity v. At what angle to the vertical he must incline the tube so that the water drops enter it without touching its sides?
a. Tan-1 (v/u)
b. sin-1(v/u)
c. tan-1 (u/v)
d. cos-1(v/u)
3. A stone is dropped from the top of a cliff and is found to travel 44.1m in last second of its fall. How much is the height of cliff?
a. 98 m
b. 122.5m
c. 60m
d. 37.5 m
| 4. A small ball of mass m is allowed to slow down from top of hemispherical dome of radius R. At what height h from the lower end the ball will leave contact with dome? a. 2R/3 b. R/2 c. R/4 d. R/6 | |
5. The potential energy of a body of mass 1.2 kg is given by U= 3x-4y where x and y are the co-ordinates of the body. The acc. of the body is
a. 3 units
b. 4 units
c. 5 units
d. none
| 6. A ball with velocity 9m/s collides with another similar stationary ball. After the collision the two balls move in directions making an angle of 30o with initial direction. The ratio of speeds of ball after the collision will be a. v1/v2=1 b. v1/v2< style=""> c. v1/v2>1 d. v2/v1=2 |
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7. A car is moving on straight horizontal road with speed of 72 km/h. If the coefficient of static friction b/w the tire of the car and the road is 0.5, then the min distance within which the car can be stopped will be
a. 20m
b. 40m
c. 72m
d. 30m
8. In a circus, the diameter of globe of death is 30m. From what minimum height must a cyclist start in order to roll down the inclined and go round the globe successfully?
a. 40m
b. 30m
c. 35m
d. 37.5m
9. A bullet comes out of a gun with a velocity of 600 m/s. At what height from the target should the gun be aimed in order to heat the target situated at distance of 200m from the gun?
a. 0.55m
b. 55m
c. 5.5m
d. 55 × 10-4 m
10. A bob suspended from the ceiling through a length I moves in horizontal surface of radius r. the tension the string is
a. 
b. 
c. 
d. 
11. A neutron with K.E. Ek and moving with velocity v, collides head on with a nucleus of mass no. A perfectly elastically. The fraction of total energy possessed by neutron after collision will be
a. [(A+1)/A]2
b. [(A-1)/A]2
c. [(A+1)/(A-1)]2
d. [(A-1)/(A+1)]2
12. A block of mass 2kg is lying on a floor the coefficient of static friction is 0.54. What will be the value of frictional force if the applied force is 2.8N and g=10m/s2
a. 2.8N
b. 8 N
c. 0
d. 2 N
13. What is retardation of moving particle if the relation b/w its position and time is given by t= Ax2+Bx?
a. 2A/(2Ax+B)3
b. (2A+B)2/2A
c. (A+2Bx)2/2A
d. (A-2Bx)2/2A
14. A tennis ball falls freely from height H on to an inclined smooth plane making an angle 45o with horizontal. After bouncing the ball falls on the plane again. The distance b/w the plane striking the plane is
a. H
2
b. H
c. H/2
d. 4(2H)
15. Drops of water fall from the roof of the building 9m high at regular interval of time. The first drop reaching the ground at the same instant fourth drops starts its fall. What are the distances of the second and third drop from the roof?
a. 6m & 3m
b. 4m & 2m
c. 6m & 2m
d. 4m & 1m
16. If E,m,J and G denote the energy, mass, angular momentum and gravitational constant the dimensions of EJ2/m5G2 should be same as those of
a. Angle
b. Length
c. Mass
d. time
17. A stone tied to one end of the string, is revolved in horizontal plane. The tension in the string is T. If the length of the string is reduced to one third of its initial value, then the tension will increase by
a. T
b. 26 T
c. 37 T
d. 8 T
18. A stuntman plans to run across a roof top and horizontally jumps one to another roof 4.9m below the first one and at a distance of 6.2 m away. What is the minimum velocity he must have before jump?
a. 3.1m/s
b. 4 m/s
c. 4.9 m/s
d. 6.2 m/s
19. A solid sphere of mass 500g and radius 10cm rolls down an inclined plane without slipping and without loss of energy. The height of the inclined is 0.7m. the linear speed of sphere on reaching the lower end on the inclined will be
a. 1.6 m/s
b. 3.2 m/s
c. 6.4 m/s
d. none
20. Two weights w1 and w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be
a. 
b. 
c. 
d. 
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