JEE (Advanced) 2015 Paper-2 Question 1

Question 1

A large spherical mass M is fixed at one position and two identical point masses m are kept on a line passing through the centre of M (see figure). The point masses are connected by a rigid massless rod of length / and this assembly is free to move along the line connecting them. All three masses interact only through their mutual gravitational interaction. When the point mass nearer to M is at a distance r = 3l from M, the tension in the rod is zero for $$m = k \left(\frac {M}{288}\right)$$. The value of k is

Correct Answer: 7

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