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A solid sphere (mass 2M) and a thin sphe...

A solid sphere (mass 2M) and a thin spherical shell (mass M) both of the same size roll down an inclined plane, then:

A

Solid sphere will reach the bottom first

B

Hollow spherical shell will reach the bottom first

C

Both will reach at the same time

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Time of descent `t= (1)/(sin theta) sqrt((2h)/(g) (1+ (K^(2))/(R^(2))))` For solid sphere `(K^(2))/(R^(2))= (2)/(5)`
For hollow sphere, `(K^(2))/(R^(2))= (2)/(3)`
Solid sphere will take less time so it will reach the bottom first.
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