Two planets have the same average density but their radii are \( R_{1} \) and \( R_{2} \). If ac...
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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; MP PMT 2007]
(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) \( \frac{g_{1}}{g_{2}}=\frac{R_{1}^{3}}{R_{2}^{3}} \)
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