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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 reaches upto a 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
Using mechanical energy conservation
`(1)/(2)mv^(2)(1+(k^(2))/(R^(2)))=mg((3v^(2))/(4g))`
`1+(k^(2))/(R^(2))=(3)/(2)`
`(k^(2))/(R^(2))=(1)/(2)`
So, body is disc or solid cylinder.
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