Question

A pendulum performs S.H.M. with period `sqrt3` second in a stationary lift. If lift moves up with acceleration `"g"/3`, the period of pendulum is ______. (g = acceleration due to gravity)

Options

• 2.5 second

• 2.00 second

• 1.5 second

• 1.75 second

Answer 1

A pendulum performs S.H.M. with period `sqrt3` second in a stationary lift. If lift moves up with acceleration `"g"/3`, the period of pendulum is 1.5 second.

Explanation:

T = `sqrt3` a = `"g"/3`

T' = `2pi sqrt(l/("g" + "g"/3))`

`therefore "T'"/"T" = sqrt("g"/("4g"//3)) = sqrt3/2`

T' = `sqrt3 xx sqrt3/2 = 3/2` = 1.5 sec