imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth is size. If the acceleration due to gravity on the surface of earth is g and that on the surface of the new planet is g', then find the relation between g and g'.

Options

A. g'=3g
B. g,=9g
C. g'=g/9
D. g'=27g

Answer

A

Explanation

use `g=(GM)/(R^(2))=(G""(4)/(3) pi R^(3) rho)/(R^(2)) =(4)/(3) pi G rho R `