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Four identical solid spheres each of mass ‘$m$’ and radius ‘$a$’ are placed with their centres on the four corners of a square of side ‘$b$’. The moment of inertia of the system about one side of square where the axis of rotation is parallel to the plane of the square is:
(1) $\frac{4}{5}ma^2$
(2) $\frac{8}{5}ma^2 + mb^2$
(3) $\frac{4}{5}ma^2 + 2mb^2$
(4) $\frac{8}{5}ma^2 + 2mb^2$
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