The gravitational field strength at the surface of a certain planet is g . Which of the following is the gravitational field strength at the surface of a planet with twice the radius and twice the mass?

Step-by-step solution

At the surface of the planet, gravitational acceleration, aligned g= G M R² ...(i) where, M &= mass of the planet R &= radius of the planet. When M^ &=2 M and R^ =2 R , then g^ &= G M^ R² &= G 2 M (2 R)² = G M 2 R² = 1 2 g [from Eq. (i)] aligned g^ = g 2