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

Explanation

`(1)/(2)mv^(2)(1+(k^(2))/(R^(2)))=mgh=mgxx(3v^(2))/(4g)=(3)/(4)mv^(2)`
`1+(k^(2))/(R^(2))=(3)/(2)implies(k^(2))/(R^(2))=(1)/(2)`, Disc