Question

The magnitudes of the gravitational field at distances r1 and r2 from the centre of a uniform sphere of radius R and mass M are E1 and E2 respectively. Then:

A
E1E2=r1r2, if r1<R and r2<R
B
E1E2=r22r21, if r1>R and r2>R
C
E1E2=r31r32, if r1<R and r2<R
D
E1E2=r21r22, if r1<R and r2<R
Solution
Verified by Toppr

If rR, then E=GMR3(r)Er

E1E2=r1r2 if r1<R and r2<R

If rR, then E=GMr2E1r2

E1E2=r22r21 if r1>R and r2>R

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