The mass of the earth is $81$ times that of the moon and the radius of the earth is $3.5$ times that of the moon. The ratio of the acceleration due to gravity at the surface of the moon to that at the surface of the earth is
The mass of the earth is $81$ times that of the moon and the radius of the earth is $3.5$ times that of the moon. The ratio of the acceleration due to gravity at the surface of the moon to that at the surface of the earth is
$0.15$
$0.04$
$1$
$6$
The mass of the earth is $81$ times that of the moon and the radius of the earth is $3.5$ times that of the moon. The ratio of the acceleration due to gravity at the surface of the moon to that at the surface of the earth is
$g = \frac{{GM}}{{{R^2}}}$ (Given ${M_e} = 81{M_m},\,\,\,{R_e} = 3.5{R_m})$
Substituting the above values, $\frac{{{g_m}}}{{{g_e}}} = 0.15$
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