A steel ball falls from a height h on a floor for which the coefficient of resti

Question

A steel ball falls from a height h on a floor for which the coefficient of restitution is e. The height attained by the ball after two rebounds is

Options:

A . eh

B . e2h

C . e3h

D . e4h

Answer: Option D
:
D
The velocity attained after a fall through a height h is given by

v^{2} = 2 g h

Thus

h \propto v^{2}

The velocity after first rebound is ev. Therefore, the height attained after first rebound =

e^{2} h

. Velocity after second rebound is

e^{2} v

. Hence the height attained after second rebounds is

e^{4} h

. Thus the correct choice is (d).

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