1.

The magnitudes of the gravitational force at distances \[{{r}_{1}}\] and \[{{r}_{2}}\] from the centre of a uniform sphere of radius R and mass M are \[{{F}_{1}}\] and \[{{F}_{2}}\] respectively. Then      [IIT 1994]

A.             \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\] if \[{{r}_{1}}<R\] and  \[{{r}_{2}}<R\]
B.             \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{r_{1}^{2}}{r_{2}^{2}}\] if \[{{r}_{1}}>R\] and  \[{{r}_{2}}>R\]
C.             \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{{{r}_{1}}}{{{r}_{2}}}\] if \[{{r}_{1}}>R\] and  \[{{r}_{2}}>R\]
D.             \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{r_{2}^{2}}{r_{1}^{2}}\] if \[{{r}_{1}}<R\] and  \[{{r}_{2}}<R\]
Answer» B.             \[\frac{{{F}_{1}}}{{{F}_{2}}}=\frac{r_{1}^{2}}{r_{2}^{2}}\] if \[{{r}_{1}}>R\] and  \[{{r}_{2}}>R\]


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