Average density of earth

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7.Gravitation

easy

Average density of the earth

A

is directly proportional to $g$

B

is inversely proportional to $g$

C

does not depend on $g$

D

is a complex function of $g$

(AIEEE-2005)

Solution

$g = \frac{{GM}}{{{R^2}}} = \frac{{G\rho \times V}}{{{R^2}}} \Rightarrow g = \frac{{G \times \rho \times \frac{4}{3}\pi {R^3}}}{{{R^2}}}$

$g = \frac{4}{3}\rho \pi G.R\,\,\,\,\,where\,\,\rho \to average\,density$

Standard 11

Physics

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