Four spheres each of diameter $2a$ and mass $M$ are placed with their centres on the four corners of a square of side $b$. Then the moment of inertia of the system about an axis along one of the sides of the square is
Four spheres each of diameter $2a$ and mass $M$ are placed with their centres on the four corners of a square of side $b$. Then the moment of inertia of the system about an axis along one of the sides of the square is
- A
$\frac {4}{5}Ma^2\,+\,2Mb^2$
- B
$\frac {8}{5}Ma^2\,+\,2Mb^2$
- C
$\frac {8}{5}Ma^2$
- D
$\frac {4}{5}Ma^2\,+\,4Mb^2$
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- [KVPY 2018]