Starting from rest, the time taken by a body sliding down on a rough inclined plane at 45° with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is

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Starting from rest, the time taken by a body sliding down on a rough inclined plane at 45° with the horizontal is, twice the time taken to travel on a smooth plane of same inclination and same distance. Then the coefficient of kinetic friction is

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0.25

0.33

0.50

0.75

answer is D.

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Detailed Solution

$t_{r} = \sqrt{\frac{2 l}{g (\sin θ - μ_{k} \cos θ)}}; t_{s} = \sqrt{\frac{2 l}{gsin θ}}$

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