Two bodies of different masses are dropped from heights of 16 m a

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 Multiple Choice QuestionsMultiple Choice Questions

71.

An object is projected at an angle of 45° with the horizontal. The horizontal range and maximum height reached will be in the ratio

  • 1 : 2

  • 2 : 1

  • 1 : 4

  • 4 : 1


72.

A ball which is at rest is dropped from a height h metre. As it bounces off the floor its speed is 80% of what it was just before touching the ground. The ball will then rise to nearly a height

  • 0.94 h

  • 0.80 h

  • 0.75 h

  • 0.64 h


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73.

Two bodies of different masses are dropped from heights of 16 m and 25 m respectively. The ratio of the time taken by them to reach the ground is

  • 2516

  • 54

  • 45

  • 1625


C.

45

        h = 0 + 12 gt2    t2  h  t1t2 = h1h2 = 1625 = 45


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74.

The centripetal acceleration of particle of mass m moving with a velocity v in a circular orbit of radius r is

  • v2/r  along the radius, towards the centre 

  • v2/r along the radius, away from the centre 

  • mv2/r  along the radius, away from the centre 

  • mv2/r  along the radius, towards the centre 


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75.

A stationary body of mass m explodes into three parts having masses in the ratio 1 : 3 : 3. The two fractions with equal masses move at right angles to each other with a velocity of 1.5 ms-1. Then the velocity of the third body is

  • 4.52 ms-1

  • 5 ms-1

  • 532 ms-1

  • 1.5 ms-1


76.

A body is projected vertically upwards from the surface of a planet of radius r with a velocity equal to 1/3rd the escape velocity for that planet. The maximum height attained by the body is

  • R/2

  • R/3

  • R/9

  • R/8


77.

The maximum and minimum magnitudes of the resultant of two given vectors are 17 units and 7 units respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is

  • 14

  • 16

  • 18

  • 13


78.

Three vectors satisfy the relation A . B = 0 and A . C = 0, then A is parallel to

  • C

  • B

  • B × C

  • B . C


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79.

For a given velocity, a projectile has the same range R for two angles of projection if t1 and t2 are the time of flight in the two cases, then

  • t1t2 ∝ R

  • t1t2 ∝ R2

  • t1t2  1R2

  • t1t2  1R


80.

Look at the graphs (a) to (d) carefully and indicate which of these possibly represents one dimensional motion of a particle ?


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