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Q.

A ball after falling through a distance h collides with an inclined plane of inclination $θ$ as shown. It moves horizontally after the impact. The co-efficient of restitution between inclined plane and ball is

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a

$\cot^{2} θ$

b

1

c

$\tan^{2} θ$

d

$\sin^{2} θ$

answer is B.

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Detailed Solution

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Impact takes place along the normal to the inclined plane

Question Image

$∴ u sinθ = v cosθ \Rightarrow v = utanθ . . . (i)$

$e = \frac{vsinθ}{ucosθ} = \frac{utanθ . sinθ}{ucosθ}$

$e = \tan^{2} θ$

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