Two planets have the same average density but their radii are \[{{R}_{1}}\] and \[{{R}_{2}}\]. If acceleration due to gravity on these planets be \[{{g}_{1}}\] and \[{{g}_{2}}\] respectively, then [AIIMS 1985]

\[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}\]

\[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\]

\[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{R_{1}^{2}}{R_{2}^{2}}\]

\[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{R_{1}^{3}}{R_{2}^{3}}\]

Two planets have the same average density but their radii are \[{{R}_{

1.	Two planets have the same average density but their radii are \[{{R}_{1}}\] and \[{{R}_{2}}\]. If acceleration due to gravity on these planets be \[{{g}_{1}}\] and \[{{g}_{2}}\] respectively, then [AIIMS 1985]
A.	\[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\]
B.	\[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}\]
C.	\[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{R_{1}^{2}}{R_{2}^{2}}\]
D.	\[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{R_{1}^{3}}{R_{2}^{3}}\]
Answer» B. \[\frac{{{g}_{1}}}{{{g}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}\]