A hemispherical vessel of radius `R` moving with a constant velocity `v_(0)` and containing a ball, is suddenly haulted. Find the height by which ball will rise in the vessel, provided the surface is smooth :

Options

A. `(v_(0)^(2))/(2g)`
B. `(2 v_(0)^(2))/(g)`
C. `(v_(0)^(2))/(g)`
D. None of these

Answer

A

Explanation

`(1)/(2)mv_(0)^(2) =mgR(1-cos theta)`
`(v_(0)^(2))/(2g) =R-R cos theta = "required height"`.