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A small object of uniform density rolls...

A small object of uniform density rolls up a curved surface with an initial velocity `v`. It reached upto maximum height of `3v^(2)//4g` with respect to the initial position. The object is -
.

A

ring

B

solid sphere

C

hollow sphere

D

disc

Text Solution

Verified by Experts

The correct Answer is:
D
By the concept of energy conservation
`1/2mV^(2)+1/2I(V^(2))/(R^(2))=3/4mV^(2)`
`:. 1/2I(V^(2))/(R^(2))mV^(2)-1/2mV^(2)=1/4mV^(2)`
`implies I=1/2mR^(2)`
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