A small block oscillates back and forth on a smooth concave surface of radius R. Find the time period of small oscillation.

Options

A. `2pi sqrt((R )/(g))`
B. `2sqrt((R )/(g))`
C. `pi sqrt((R )/(g))`
D. `sqrt((R )/(g))`

Answer

A

Explanation

Let `theta = (x)/(R ), F_(res) = mg sin theta, sin rarr` small