A metal ball falls from a height of 32 met

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A metal ball falls from a height of $32$ metre on a steel plate. If the coefficient of restitution is $0.5$, to what height will the ball rise after second bounce ............ $m$

A

$2$

B

$4$

C

$8 $

D

$16$

A metal ball falls from a height of $32$ metre on a steel plate. If the coefficient of restitution is $0.5$, to what height will the ball rise after second bounce ............ $m$

${h_n} = h{e^{2n}}$= $32{\left( {\frac{1}{2}} \right)^4} = \frac{{32}}{{16}} = 2m$(here $n = 2, e = 1/2$)