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# Average density of the earth

a) is complex function of g b) does not depend on g c) in versely proportional to g d) directly proportional to g

$g=\large\frac{GM}{R^2}$
$\quad=\large\frac{G\rho \Large\frac{4}{3} \large \pi R^3}{R^2}$
$g= \large\frac{4}{3}$$\rho \pi G R$
$g \;\alpha\; \rho$
average density is directly proportional to g
Hence d is the correct answer.

edited Feb 17, 2014 by meena.p