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Q.

Two identical spheres each of radius R are placed with their centres at a distance nR, where n is integer greater than 2. The gravitational force between them will be proportional to

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a

1R4

b

1R2

c

R2

d

R4

answer is D.

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Detailed Solution

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F=Gm1m2r2, Here m=43πR2ρ

Fm2r2

FR32R2=R4

FR4

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