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A solid sphere a hollow sphere and a dis...

A solid sphere a hollow sphere and a disc all having same mass and radius, are placed at the top of a moth incline and released. Least time will be taken in reaching the bottom by

A

the solid sphere

B

the hollow sphere

C

the disc

D

All will take same time

Text Solution

Verified by Experts

The correct Answer is:
A
Time taken by rolling body to reach the bottom `t=(1)/(sin theta)sqrt((2h)/(g)(1+(K^(2))/(R^(2))))`. A body with smaller value of `(K^(2))/(R^(2))` will takes less time to reach to reach the botttom. Hence, solid sphere will take least time to reach bottom.
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