A solid sphere of mass \( M \) and radius \( R \) has a spherical cavity of radius \( \frac{R}{2...

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A solid sphere of mass \( M \) and radius \( R \) has a spherical cavity of radius \( \frac{R}{2} \) such that the centre of cavity is at a distance \( \frac{R}{2} \) from the centre of the sphere. A point mass \( m \) is placed inside the cavity at a distance \( \frac{R}{4} \) from the centre of sphere. The gravitational force on mass \( m \) is
(a) \( \frac{11 G M m}{R^{2}} \)
(b) \( \frac{14 G M m}{R^{2}} \)
(c) \( \frac{G M m}{2 R^{2}} \)
(d) \( \frac{G M m}{R^{2}} \)
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