The magnitudes of the gravitational field at distance and from the centre of a…

PHYSICS · Single correct · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

The magnitudes of the gravitational field at distance r1r_1 and r2r_2 from the centre of a uniform sphere of radius RR and mass mm are F1F_1 and F2F_2 respectively. Then: (1) F1F2=r1r2\frac{F_1}{F_2} = \frac{r_1}{r_2} if r1<Rr_1 < R and r2<Rr_2 < R (2) F1F2=r22r12\frac{F_1}{F_2} = \frac{r_2^2}{r_1^2} if r1>Rr_1 > R and r2>Rr_2 > R (3) F1F2=r1r2\frac{F_1}{F_2} = \frac{r_1}{r_2} if r1>Rr_1 > R and r2>Rr_2 > R (4) F1F2=r12r22\frac{F_1}{F_2} = \frac{r_1^2}{r_2^2} if r1<Rr_1 < R and r2<Rr_2 < R

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