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 = 4 [ M (L/sqrt(2))^(2)] = 2ML^(2) `