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) rArr I prop K^(2)`
`((K_(2)-K_(1))/(K_(1))) xx 100 ( sqrt((I_(2))/(I_(1)))-1 ) xx100`