Question

Three uniform spheres, each having mass m and radius R are kept in such a way that each touches other two. Then, the magnitude of gravitational force on any sphere due to other two is

(a) \(\frac{3\,Gm}{2\,R^2}\)

(b) \(\frac{3\,Gm}{R^2}\)

(c) \(\frac{Gm}{2\,R^2}\)

(d) \(\frac {\sqrt3}{4} \) \(\frac{Gm^2}{R^2}\)

Answer 1

Correct option:  (d) \(\frac {\sqrt3}{4} \) \(\frac{Gm^2}{R^2}\)

If A B, and C be the centres of three spheres, then force of attraction on B due to sphere A is

Force of attraction on B due to sphere C is

As F₁ = F₂ , the resultant force on sphere C is