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
(F1/F2)=(r1/r2) if r1<R and r2<R
(F1/F2)=(r1/r2)2 if r1>R and r2>R
(F1/F2)=(r1/r2) if r1>R and r2>R
(F1/F2)=(r1/r2)2 if r1<R and r2<R
A
(F1/F2)=(r1/r2) if r1<R and r2<R
B
(F1/F2)=(r1/r2)2 if r1>R and r2>R
C
(F1/F2)=(r1/r2) if r1>R and r2>R
D
(F1/F2)=(r1/r2)2 if r1<R and r2<R
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Solution
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The correct options are A(F1/F2)=(r1/r2) if r1<R and r2<R B(F1/F2)=(r1/r2)2 if r1>R and r2>R F∝r(r<R) F∝1r2(r>R) F1F2=r1r2 if r<R and F1F2=(r2r1)2 if r>R Hence (A) and (B) are correct.
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