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JEE Main 2021 (25 Jul, Shift 2) · Acceleration Due to Gravity

Acceleration Due to Gravity question from JEE Main 2021 (25 Jul, Shift 2)

Q93JEE Main 2021 · 25 JUL · SHIFT 2Medium

Acceleration Due to Gravity

Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average density of earth. If the weight of an object on earth is W, the weight of the same object on that planet will be:

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Answer: (c)

Same density: $M \propto R^3$ , so $M_p = 2M \Rightarrow R_p = 2^{1/3}R$ .
$g = \frac{4}{3}\pi G\rho R \propto R \Rightarrow g_p = 2^{1/3}g$
So the answer is (c) $2^{1/3}\,W$ .

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