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NEET 2005 (AIPMT) · Acceleration Due to Gravity

Acceleration Due to Gravity question from NEET 2005 (AIPMT)

Q125NEET 2005 · AIPMTEasy

Acceleration Due to Gravity

Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then

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Answer: (d)

$g = \frac{4}{3}\pi G\rho R$ ; same density, so $g \propto R$ .
Radius 3 times $\Rightarrow g' = 3g$
So the answer is (d).

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