JEE Advanced · PhysicsMedium

$If the mass of the Earth M becomes 2 M and its radius R becomes R /2, what is the new acceleration due to gravity g^{'} in terms of the original g ?$

A. $2 g$
B. $4 g$
C. $8 g$
D. $g$

Show correct answer & step-by-step solution

Correct answer: C — $8 g$

Solution

Using the formula g = GM / R^{2}, the new acceleration is g^{'} = G (2 M) / (R /2)^{2} = 8 GM / R^{2} = 8 g .

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If the mass of the Earth were to double and its radius were to be halved, what w… — JEE Advanced Physics Question with Solution |