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If the distance between two suspended masses 10kg each is...

If the distance between two suspended masses 10kg each is tripled, the gravitational force of attraction between them is reduced by

A.

one half

B.

one third

C.

one quarter

D.

one ninth

Correct answer is D

Let the distance apart the two masses = m.
From the equation F & M1 m22
F1 α 10 x 10/ϒ2 = F α 100/ ϒ2
F2 α 10 X 10/(3ϒ)2 => F2 α 100/9ϒ2
therefore F2/F1 = 100/9ϒ2/100/ϒ2 = 100/9ϒ2 ϒ2/100 = 1/9
Therefore F 2 : F 1 = 1 : 9