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Q.

The gravitational force of attraction between two bodies is F1. If the mass of each body is doubled and the distance between them is halved, then the gravitational force between them is F2. Then

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a

F2 = 8F1

b

F2 = 16F1

c

F1 = F2

d

F2 = 4F1

answer is D.

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Detailed Solution

F1=G×m1×m1R2

Doubling both masses and halving the distance

F2=G×2 m1×2 m2R22

∴F2=G×4×m1×m214×R2

∴F2=G×m1×m1R2×16

∴F2=16 F1

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