Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in 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

Step-by-step solution

The acceleration due to gravity on the new planet can be found using the relation g= G M R^2 ...(i) but M= 4 3 R^3 , being density. Thus, Eq. (i) becomes g= G 4 3 R^3 R^2 =G 4 3 R array ll & g R & g^ g = R^ R & g^ g = 3 R R =3 & g^ =3 g array