Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then moment of inertia of the system about an axis about one of the sides of the square is :-

Options

A. `Ma^(2) +2Mb^(2)`
B. `Ma^(2)`
C. `Ma^(2)+4Mb^(2)`
D. `8/5 Ma^(2)+2Mb^(2)`

Answer

D

Explanation

` 2 (2/5 Ma^(2)) + 2 [2/5 Ma^(2) + Mb^(2)] `