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NEET 1995 (AIPMT) · Acceleration Due to Gravity

Acceleration Due to Gravity question from NEET 1995 (AIPMT)

Q132NEET 1995 · AIPMTEasy

Acceleration Due to Gravity

The acceleration due to gravity $g$ and mean density of the earth $\rho$ are related by which of the following relations? (where $G$ is the gravitational constant and $R$ is the radius of the earth.)

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Answer: (a)

$g = \frac{GM}{R^2} = \frac{G}{R^2}\cdot\frac{4}{3}\pi R^3\rho = \frac{4}{3}\pi G\rho R$
$\rho = \frac{3g}{4\pi GR}$
So the answer is (a) $\rho = \frac{3g}{4\pi GR}$ .

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