The magnitudes of the gravitational force at distances r1 and r2from the centre of a uniform sphere of radius R and mass M are F1 and F2respectively. Then
A
F1F2=r1r2ifr1<Randr2<R
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B
F1F2=r21r22ifr1>Randr2>R
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C
F1F2=r1r2ifr1>Randr2>R
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D
F1F2=r22r21ifr1<Randr2<R
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Solution
The correct option is AF1F2=r1r2ifr1<Randr2<R g=43πρGr∴g∝rifr<Rg=GMr2∴g∝1r2ifr>RIfr1<Randr2<RthenF1F2=g1g2=r1r2Ifr1>Randr2>RthenF1F2=g1g2=(r2r1)2