Radii of two planets are respectively R₁ and R₂ and their densities are respectively {ρ ₁} an

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7.Gravitation

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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

${g_1}:{g_2} = {R_1}{\rho _1}:{R_2}{\rho _2}$

Solution

$g \propto \rho R$

Standard 11

Physics

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