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The magnitude of the gravitational field at distance $r_{1} a n d r_{2}$ from the centre of a uniform sphere of radius R and mass M are $F_{1} a n d F_{2}$ respectively. Then

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F1F2=r1r2 if r1

F1F2=r12r22 if r1>R and r2>R

F1F2=r1r2 if r1>R and r2>R

F1F2=r12r22 if r1

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detailed solution

Correct option is A

The uniform solid sphereF=GM/R3×rF1=GMR3.r1 & F2=GMR3.r2F1F2=r1r2(or) Outside the solid sphere, magnitude of gravitational fieldF=GMr2F1=GMr12;F2=GMr22F1F2=r22r12

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The magnitude of the gravitational field at distance 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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The magnitude of the gravitational field at distance $r_{1} a n d r_{2}$ from the centre of a uniform sphere of radius R and mass M are $F_{1} a n d F_{2}$ respectively. Then