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