A solid sphere A of radius R and mass M is attached at a point to a smaller solid sphere B of radius r<R and mass m<M . Assume that the line joining their centres lies along the horizontal. The moment of inertia of the system calculated about a vertical axis passing through the centre of A is I A and that calculated about a vertical axis passing through the centre of B is I B . The difference I A-I B is:

1. A. (M-m)(R+r) 2
2. B. (m-M)(R+r) 2
3. C. (m-M)(R-r) 2
4. D. 0

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