- Home
- Standard 11
- Physics
7.Gravitation
medium
The diameters of two planets are in the ratio $4 : 1$ and their mean densities in the ratio $1 : 2$. The acceleration due to gravity on the planets will be in ratio
A
$1:2$
B
$2:3$
C
$2:1$
D
$4:1$
Solution
(c) $g = \frac{4}{3}G\pi R\rho $ $ \Rightarrow \,\frac{{{g_1}}}{{{g_2}}} = \frac{{{\rho _1}{R_1}}}{{{\rho _2}{R_2}}}$ $ = \frac{1}{2} \times \frac{4}{1} = \frac{2}{1}$
Standard 11
Physics
