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A soild sphere is made to roll down from...

A soild sphere is made to roll down from the same height on two inclined planes having different angles of inclination. In which case will it take less time to reach the bottom ?

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As two inclined planes have different inclinations, but same height, therefore, velocity on reaching the bottom along two inclines is the same.
From `upsilon = u + at = 0 + at`
Now, `upsilon` is same and `a sin theta :. t prop (1)/(sin theta)`
i.e. time taken will be smaller when the spheres rolls the plane of higher inclination.
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