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Question

Two spheres of mass m and M of the same radius R, are separated by a distance 8R. The force of attraction between them is:

A
22GmM27R2
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B
GmM8R2
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C
GmM9R2
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D
2GmM9R2
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Solution

The correct option is B GmM8R2
A spherical mass behaves identical to a point mass placed at its centre. So, the system can be visualized as a system of two point masses m and M which are separated by a distance of 8R.

The force of attraction is:
F=GMm(8R)2
F=GMm8R2

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