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Question

Two metal spheres of equal radius r are touching each other. The force of attraction F between them is

A
Fr4
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B
Fr6
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C
Fr2
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D
F1r2
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Solution

The correct option is A Fr4
F = GM24R2

Density is defined as mass upon volume i.e density = massvolume
Mass = density volume
M = density 4πR33

Squaring on both sides,
M2 = density2 (4π3)2 R6
Here F = G. (density2) (4π3)2 R

Therefore F is directly proportional to r4

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