A point mass `m` is displaced slightly from point `O` and released. It is constrained to move along parabolic path having equation `x^(2)=ky` then its angular frequency of oscillation is :

Options

A. `sqrt((g)/(2k))`
B. `sqrt((2g)/(k))`
C. `sqrt((g)/(k))`
D. `sqrt((3g)/(2k))`

Explanation

`F=-mg sin theta`
`sin theta=tan theta=(dy)/(dx)=(2x)/(k)`
`F=-((2mg)/(k))x`
`omega=sqrt((2g)/(k))`