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Consider a hollow sphere of mass \( M \) and radius \( R \) resting on a smooth surface. A smaller sphere of mass \( m \) and radius \( r \) is initially held at position \( P \) within the bigger sphere. If the small sphere is now released, it rolls down the inner surface of hollow sphere and finally stops at its bottom point \( Q \). Then:
(1) horizontal displacement of the smaller sphere on smooth surface is \( \frac{M(R-r)}{M+m} \)
(2) horizontal displacement of the bigger sphere on smooth surface is \( \frac{M(R+r)}{M+m} \)
(3) horizontal displacement of the bigger sphere on smooth surface is \( \frac{m(R-r)}{M+m} \)
(4) none of these
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