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Question

The radii of two planets are respectively $$R_1$$ and $$R_2$$ and their densities are $$p_1$$ and $$p_2$$. Ratio of the accelerations due to gravity at their surfaces is :


A
R1R2.p1p2
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B
R2R1.p21p2
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C
R1R2.p2p1
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D
1:1
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Solution

The correct option is B $$\dfrac{R_1}{R_2}.\dfrac{p_1}{p_2}$$
$$g=\dfrac{4}{3}\pi \rho GR$$
$$\therefore \dfrac{g_1}{g_2} = \dfrac{R_1\rho_1}{R_2\rho_2}$$

Physics

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