2023 Manipur GravitationMean density of the earth in terms of g and R Medium Question 13 of 66 in Gravitation

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:

A $\dfrac{\pi RG}{12g}$
B $\dfrac{3\pi R}{4gG}$
C $\dfrac{3g}{4\pi RG}$
D $\dfrac{4\pi G}{3gR}$

The answer is C.

Solution

$g=\dfrac{4}{3}\pi GR\rho\Rightarrow\rho=\dfrac{3g}{4\pi GR}$.

Concept Mean density of the earth in terms of g and R

Gravitation in past papers

66 questions from this chapter have appeared across 26 exam years.