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NEET 2023 · Acceleration Due to Gravity

Acceleration Due to Gravity question from NEET 2023

Q49NEET 2023Easy

Acceleration Due to Gravity

If $R$ is the radius of the earth and $g$ is the acceleration due to gravity on the earth surface. Then the mean density of the earth will be:

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Answer: (c)

$g = \frac{GM}{R^2}$ and $M = \rho \cdot \frac{4}{3}\pi R^3$ , so $g = \frac{4}{3}\pi G\rho R$ .
$\rho = \frac{3g}{4\pi RG}$
So the answer is (c) $\frac{3g}{4\pi RG}$ .

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