The magnitudes of the gravitational force at distances r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2, respectively. Then

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F1F2=r2r1 if r1

F1F2=r22r12 if r1>R and r2>R

F1F2=r1r2 if r1>R and r2>R

F1F2=r22r12 if r1

answer is B.

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Detailed Solution

g=43πρGr ∴g∝r if r>Rg=GMr2∴g∝1r2 if r>R If r1R and r2>R, then F1F2=g1g2=r2r12

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