Two planets of radii in the ratio$ 2 : 3 $are made from the material of density in the ratio $3 : 2$. Then the ratio of acceleration due to gravity ${g_1}/{g_2}$ at the surface of the two planets will be
Two planets of radii in the ratio$ 2 : 3 $are made from the material of density in the ratio $3 : 2$. Then the ratio of acceleration due to gravity ${g_1}/{g_2}$ at the surface of the two planets will be
$1$
$2.25$
$4/9$
$0.12$
Two planets of radii in the ratio$ 2 : 3 $are made from the material of density in the ratio $3 : 2$. Then the ratio of acceleration due to gravity ${g_1}/{g_2}$ at the surface of the two planets will be
$\frac{{{g_1}}}{{{g_2}}} = \frac{{{\rho _1}}}{{{\rho _2}}} \times \frac{{{R_1}}}{{{R_2}}} = \frac{3}{2} \times \frac{2}{3} = 1$
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