Question

Select One Option Correct from the following : The magnitudes of the gravitational field at distance$r_1$ and$r_2$ from the centre of a uniform sphere of radius R and mass M are$F_1$ and $F_2$ respectively, then,
(A)$\frac{F_{1} }{F_{2} } =\frac{r_{1} }{r_{2} } if r_{1} \ \textless \ R \ and \ r_{2} \ \textless \ R$(B)$\frac{F_{1} }{F_{2} } =\frac{r^{2}_{2} }{r^{2}_{1} } if r_{1} \ \textgreater \ R \ and \ r_{2} \ \textgreater \ R$(C)$\frac{F_{1} }{F_{2} } =\frac{r^{3}_{1} }{r^{3}_{2} } if r_{1} \ \textless \ R \ and \ r_{2} \ \textless \ R$(D)$\frac{F_{1} }{F_{2} } =\frac{r^{2}_{1} }{r^{2}_{2} } if r_{1} \ \textless \ R \ and \ r_{2} \ \textless \ R$

Answer 1

d option is correct I think

Answer 2

Select One Option Correct from the following : The magnitudes of the gravitational field at distance$r_1$ and$r_2$ from the centre of a uniform sphere of radius R and mass M are$F_1$ and $F_2$ respectively, then,

(A)$\frac{F_{1} }{F_{2} } =\frac{r_{1} }{r_{2} } if r_{1} \ \textless \ R \ and \ r_{2} \ \textless \ R$(B)$\frac{F_{1} }{F_{2} } =\frac{r^{2}_{2} }{r^{2}_{1} } if r_{1} \ \textgreater \ R \ and \ r_{2} \ \textgreater \ R$(C)$\frac{F_{1} }{F_{2} } =\frac{r^{3}_{1} }{r^{3}_{2} } if r_{1} \ \textless \ R \ and \ r_{2} \ \textless \ R$

✔️ (D)$\frac{F_{1} }{F_{2} } =\frac{r^{2}_{1} }{r^{2}_{2} } if r_{1} \ \textless \ R \ and \ r_{2} \ \textless \ R$