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

`h=(3v^(2))/(4g)implies(1)/(2)mv^(2)(1+(K^(2))/(R^(2)))=mgh`
`implies(1)/(2)v^(2)(1+(K^(2))/(R^(2)))=(3v^(2))/(4g)xxg`
`implies(K^(2))/(R^(2))=(6)/(4)-1=(2)/(4)=(1)/(2)` (Disc)