Two spheres each mass M and radius R are connected with massless rod of length 2R . Then moment of inertia of the system about an axis passing through the centre of one of sphere and perpendicular to the rod will be

Options

A. `(21)/(5)MR^(2)`
B. `(23)/(5)MR^(2)`
C. `(22)/(5)MR^(2)`
D. `(24)/(5)MR^(2)`

Answer

D

Explanation

`I = (2)/(5)MR^(2)+(2)/(5)MR^(2)+M(2R)^(2)`
`=(4)/(5)MR^(2)+4MR^(2)=(24)/(5)MR^(2)`