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Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Gravitation
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Two planets have same average density but their radii are $R_1$ and $R_2$. If acceleration due to gravity on these planets are $g_1$ and $g_2$ respectively.

$a)\; \frac{g_1}{g_2}=\frac{R_1}{R_2} \\ b) \;\frac{g_1}{g_2}=\frac{R_2}{R_1} \\ c)\;\frac{g_1}{g_2}=\frac{{R_1}^2}{{R_2}^2} \\ d)\;\frac{g_1}{g_2}=\frac{{R_1}^3}{{R_2}^3}$
Can you answer this question?
 
 

1 Answer

0 votes
$g=\large\frac{4}{3}$$\pi \rho GR$
If $\rho$ is constant their
$\large\frac{g_1}{g_2}=\frac{R_1}{R_2}$
Hence a is the correct answer.

 

answered Aug 9, 2013 by meena.p
edited Feb 17, 2014 by meena.p
 

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