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Q.

A body is released from the top of a smooth inclined plane of inclination θ . It reaches the bottom with velocity v . If the angle of inclination is doubled for the same length of the plane, what will be the velocity of the body on reaching the ground

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a

v

b

2 v

c

(2cosθ)12v

d

(2sinθ)12v

answer is C.

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Detailed Solution

V=2gLsinθ V|=2gLsin2θ VV|=sinθ2sinθcosθ V|=(2cosθ)1/2V
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A body is released from the top of a smooth inclined plane of inclination θ . It reaches the bottom with velocity v . If the angle of inclination is doubled for the same length of the plane, what will be the velocity of the body on reaching the ground