A simple pendulum is suspended from the roof of a school bus which movies in a horizontal direction with an acceleration a, then the time period is :

Options

A. `T prop (1)/(g^(2)+a^(2))`
B. `T prop (1)/(sqrt(g^(2)+a^(2)))`
C. `T prop sqrt(g^(2)+a^(2))`
D. `T prop (g^(2)+a^(2))`

Answer

B

Explanation

`T= 2pi sqrt ((l)/(g))`
When a bus is moving
`g'= sqrt(g^(2)+a^(2))`
`:. T prop (1)/(sqrt(g^(2)+a^(2)))`