1
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Question

# If we consider the gravitational force F between two objects of masses m1 and m2 respectively, separated by a distance R , and we double the distance between them, what is the new magnitude of the gravitational force between them?

A
F/4
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B
F/2
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C
F
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D
2F
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E
4F
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Solution

## The correct option is A F/4According to Sir Newton's gravitational law the magnitude of gravitational force F between objects of mass m1 and m2 separated by a distance R is given by , F=Gm1m2R2 ............eq1 ,now if the distance between them is doubled i.e. 2R ,then the gravitational force will be , F′=Gm1m2(2R)2=Gm1m24R2 ,now by using eq1 , F′=F/4

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