The period of oscillation of a simple pendulum of length (L) suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination (prop), is given by.

Options

A. `2 pi sqrt((L)/(g cos prop))`
B. `2 pi sqrt((L)/(g cos prop))`
C. `2 pi sqrt((L)/(g))`
D. `2 pi sqrt((L)/(g tan prop))`

Answer

A

Explanation

Effective gravity = `g cos alpha`
`T = 2 pi sqrt((L)/(g cos alpha))`.