A simple pendulum of length I has been set up inside a railway wagon sliding down a frictionless inclined plane having an angle of inclination 0 with the horizontal. What will be its period of oscillation is recorded by an observer inside the wagon ? [Fig. 15.12.4]

Options

A. `2pisqrt(((l)/(g cos theta)))`
B. `2pisqrt(((l)/(g sin theta)))`
C. `2pisqrt(((l)/(g)))`
D. `2pisqrt(((lcos theta)/(g)))`

Answer

A

Explanation

Restoring force = `mg cos theta`
` T = 2pi sqrt(l//g cos theta)`