Three uniform spheres of mass \( M \) and radius \( R \) each are kept in such a way that each t...
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Three uniform spheres of mass \( M \) and radius \( R \) each are kept in such a way that each touches the other two. The magnitude of the gravitational force on any of the spheres due to the other two is
(a) \( \frac{\sqrt{3}}{4} \frac{G M^{2}}{R^{2}} \)
(b) \( \frac{3}{2} \frac{G M^{2}}{R^{2}} \)
(c) \( \frac{\sqrt{3} G M^{2}}{R^{2}} \)
(d) \( \frac{\sqrt{3}}{2} \frac{G M^{2}}{R^{2}} \)
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