Two planets have radii r_1 and r_2 and their | vedclass

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(A) The acceleration due to gravity $g$ on the surface of a planet is given by $g = \frac{GM}{r^2}$.Since the mass $M$ of a planet can be expressed in

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$r_1 p_1 : r_2 p_2$

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(A) The acceleration due to gravity $g$ on the surface of a planet is given by $g = \frac{GM}{r^2}$.Since the mass $M$ of a planet can be expressed in terms of its density $p$ and radius $r$ as $M = 	ext{Volume} 	imes 	ext{Density} = \frac{4}{3} \pi r^3 p$,we substitute this into the formula for $g$:$g = \frac{G}{r^2} 	imes \left( \frac{4}{3} \pi r^3 p ight) = \frac{4}{3} \pi G r p$.Thus,$g \propto r p$.Therefore,the ratio of acceleration due to gravity on the two planets is $\frac{g_1}{g_2} = \frac{r_1 p_1}{r_2 p_2}$.

Two planets have radii $r_1$ and $r_2$ and their densities are $p_1$ and $p_2$ respectively. The ratio of the acceleration due to gravity on their surfaces will be:

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