A small object of uniform density rolls up a curved surface with an initial velocity v. it reaches up to a maximum height of `(3v^2)/(4g)

with respect to the initial position. The object is

Options

A. Ring
B. Solid sphere
C. Hollow sphere
D. Disc

Answer

D

Explanation

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.