A particle of mass 0.3 kg is subjected to a force F=−kx with k

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 Multiple Choice QuestionsMultiple Choice Questions

21.

Consider a two-particle system with particles having masses m1 and m2. If the first particle is pushed towards the centre of mass through a distance d, by what distance should the second particle be moved, so as to keep the centre of mass at the same position?

  • straight m subscript 1 over straight m subscript 2 straight d
  • straight m subscript 2 over straight m subscript 1 straight d
  • d

  • d

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22.

An annular ring with inner and outer radii R1 and R2 is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, F1/F2 is

  • R1/R2

  • (R1/R2)2

  • 1

  • 1

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23.

A smooth block is released at rest on a 45° incline and then slides a distance d. The time taken to slide is n times as much to slide on rough incline than on a smooth incline. The coefficient of friction is

  • straight mu subscript straight k space equals space 1 minus 1 over straight n squared
  • straight mu subscript straight k space equals space square root of 1 minus 1 over straight n squared end root
  • straight mu subscript straight s space equals space 1 minus 1 over straight n squared
  • straight mu subscript straight s space equals space 1 minus 1 over straight n squared
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24.

The upper half of an inclined plane with inclination φ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by

  • 2sinφ

  • 2cosφ

  • 2tanφ
  • 2tanφ
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25.

A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

  • 3.0 cm

  • 2.0 cm

  • 1.5 cm

  • 1.5 cm

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26.

Out of the following pair, which one does NOT have identical dimensions is

  • angular momentum and Planck’s constant

  • impulse and momentum

  • moment of inertia and moment of a force

  • moment of inertia and moment of a force

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27.

A body A of mass M while falling vertically downwards under gravity breaks into two parts; a body B of mass 1/3 M and a body C of mass 2/3 M. The centre of mass of bodies B and C taken together shifts compared to that of body A towards

  • depends on height of breaking

  • does not shift

  • body C

  • body C

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28.

A particle of mass 0.3 kg is subjected to a force F=−kx with k=15 N/m. What will be its initial acceleration if it is released from a point 20 cm away from the origin?

  • 3 m/s2

  • 15 m/s2

  • 5 m/s2

  • 5 m/s2


D.

5 m/s2

a = kx/m =10m /s2

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29.

The block of mass M moving on the frictionless horizontal surface collides with a spring of spring constant K and compresses it by length L. The maximum momentum of the block after collision is

  • square root of MK L
  • KL2/2M

  • zero

  • zero

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30.

A mass ‘m’ moves with a velocity v and collides inelastically with another identical mass. After collision, the 1st mass moves with velocity v/√3 in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision

  • v

  • √3 v

  • 2v/√3

  • 2v/√3

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