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 answerB$\frac{1+e^2}{1-e^2} h$
- 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'.