A turn table is rotating in horizontal plane about its own axis at an angular velocity 90 rpm while a person is on the turn table at its edge. If he gently walks to the centre of table by which moment of inertia of system decreases by `25%`, then the time period of rotating of turn table is

Options

A. `0.5` sec
B. 1 sec
C. `1.5` sec
D. 2 sec

Answer

A

Explanation

`I_(1)omega_(1) = I_(2) omega_(2) , I_(1) = 100 , I_(2) = 100 - 25 = 75 `