Four point size bodies each of mass `M` are fixed at four corners of a light square frame of side length `L`. The moment of inertia of the four bodies about an axis perpendicular to the plane of frame and passing through its centre is

Options

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

Answer

C

Explanation

`I=Sum mr^(2)`
Here `r=L/(sqrt(2))`
`:. I=4[M(L/(sqrt(2)))]=2ML^(2)`