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Q.

A metal ball falls  from a height of 10 metro  on a steel plate and bounces back to a height of 2 .5metre. The coefficient of restitution of the ball is

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a

0.5

b

0.25

c

0.75

d

0.33

answer is A.

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Detailed Solution

The velocity with which the ball strikes the ground first timeV=(2gh) The velocity with which it rebouonds V1=ev=e(2gh) fr|e1y 16ing the formula, v2=u2+2gh1, we get  0=e2(2gh)−2gh1  or  c2h=h1 ∴ e=h1/h  or  e=(2⋅5/10)=(0⋅25)=0⋅5
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