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Question

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
  1. (F1/F2)=(r1/r2) if r1<R and r2<R
  2. (F1/F2)=(r1/r2)2 if r1>R and r2>R
  3. (F1/F2)=(r1/r2) if r1>R and r2>R
  4. (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
Solution
Verified by Toppr

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
Fr (r<R)
F1r2(r>R)
F1F2=r1r2 if r<R and F1F2=(r2r1)2 if r>R
Hence (A) and (B) are correct.

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