Q71 / 90 · KVPY 2012 (SB/SX) · Physics

A ball of mass $\mathrm{m}$ suspended from a rigid support by an inextensible massless string is released from a height $\mathrm{h}$ above its lowest point. At its lowest point it collides elastically with a block of mass $2 \mathrm{~m}$ at rest on a frictionless surface. Neglect the dimensions of the ball and the block. After the collision the ball rises to a maximum height of $-$ Figure

  • A
    $\mathrm{h} / 3$
  • B
    $\mathrm{h} / 2$
  • C
    $\mathrm{h} / 8$
  • Correct answer
    D
    $\mathrm{h} / 9$

Solution

Using energy conservation and law of restitution and momentum conservation

Hence, the correct answer is option: 'D'.

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