Q120 / 155 · WBJEE 2025 · Physics

A ball falls from a height $h$ upon a fixed horizontal floor. The co-efficient of restitution for the collision between the ball and the floor is 'e'. The total distance covered by the ball before coming to rest is [neglect the air resistance]

  • A
    $\frac{1-\mathrm{e}^2}{1+\mathrm{e}^2} \mathrm{~h}$
  • Correct answer
    B
    $\frac{1+e^2}{1-e^2} h$
  • C
    $\frac{1-2 e^2}{1+e^2} h$
  • D
    $\frac{1+2 e^2}{1-e^2} h$

Solution

Dist $=\mathrm{h}+2 \mathrm{e}^2 \mathrm{~h}+2 \mathrm{e}^4 \mathrm{~h}+-----$ $d=\left[\frac{1+\mathrm{e}^2}{1-\mathrm{e}^2}\right] \mathrm{h}$

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

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