Four particles each of mass `m` are placed at the corners of a square of side length `l`. The radius of gyration of the system the moment of inertia of four bodies about an axis perpendicular to the plane of frame and passing through a corner is

Options

A. `ML^(2)`
B. `2ML^(2)`
C. `2sqrt(2)ML^(2)`
D. `4ML^(2)`

Answer

D

Explanation

`I=2[ML^(2)]+M[Lsqrt(2)]^(2),=2ML^(2)+2ML^(2)=4ML^(2)`