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

Correct option is 2F1F2=r22r12 if r1>R and r2>R

Questions

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

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detailed solution

Correct option is B

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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