Question

Average density of the earth-

• A. does not depend on g
• B. is a complex of g
• C. is directly proportional to g
• D. is inversely proportional g

Answer 1

The correct option is C is directly proportional to g

Acceleration due to gravity is,

$g=\frac{GM}{R^2}.........\left(1\right)$

$density\rho =\frac{M}{V}$

$M=\rho V$

$M=\frac{4}{3}\pi R^3\rho$

Put this value of M in equation (1)

$g=\frac{4}{3}\frac{\pi R^3\rho }{R^2}$

$g\propto \rho$

Density is directly proportional to acceleration due to gravity.