The radii of two planets are respectively $R_1$ and $R_2$ and their densities are respectively ${\rho _1}$ and ${\rho _2}$. The ratio of the accelerations due to gravity at their surfaces is
The radii of two planets are respectively $R_1$ and $R_2$ and their densities are respectively ${\rho _1}$ and ${\rho _2}$. The ratio of the accelerations due to gravity at their surfaces is
- A
${g_1}:{g_2} = \frac{{{\rho _1}}}{{R_1^2}}:\frac{{{\rho _2}}}{{R_2^2}}$
- B
${g_1}:{g_2} = {R_1}{R_2}:{\rho _1}{\rho _2}$
- C
${g_1}:{g_2} = {R_1}{\rho _2}:{R_2}{\rho _1}$
- D
${g_1}:{g_2} = {R_1}{\rho _1}:{R_2}{\rho _2}$
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