The position of axis of rotation of a body is changed so that its moment of inertia decreases so that its moment of inertia decreases by `36%.` The `%` change in its radius of gyration is

Options

A. decreases by `18 %`
B. increases by `18 %`
C. decreases by `20 %`
D. increases by `20%`

Answer

C

Explanation

`I=MK^(2)impliesIalphaK^(2),((K_(2))/(K_(1))-1)xx100=(sqrt((I_(2))/(I_(1))-1))`