A particle is dropped on Earth from height R (radius of Earth) and it bounces back to a height R/2 c

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7.Gravitation

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A particle is dropped on Earth from height $R$ (radius of Earth) and it bounces back to a height $R/2$ the coefficient of restitution for collision is (ignore air resistance and rotation of Earth)

A

$\frac{2}{3}$

B

$\sqrt {\frac{2}{3}} $

C

$\sqrt {\frac{1}{3}} $

D

$\sqrt {\frac{1}{2}} $

Solution

coefficient of Restitution,

$e=\frac{\text {velocity of seperation}}{\text {velocity of approach}}$

$e=\frac{\sqrt{2} a}{\sqrt{3} a}=\sqrt{\frac{2}{3}}$

Standard 11

Physics

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