Question

A planet has twice the density of earth but the
acceleration due to gravity on its surface is exactly the
same as that on the surface of earth. Then, its radius
in terms of the radius of earth (R) will be...​

Answer 1

Answer:

⇒g=G(ρ×V)R2 where ρ is the density of the earth, V is the volume of the earth and mass=Volume×density . As the acceleration due to gravity on the surface of the planet is the same as g and its density is twice the density of earth. Hence, the radius of the planet is half of the radius of the earth.