The acceleration due to gravity on the surface of earth is g . If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

Step-by-step solution

The acceleration due to gravity is related to the mass and the radius of the Earth by the formula: g = G M R 2 ⇒ g ∝ 1 R 2 . . . 1 Thus, from equation (1), it follows that g 2 g 1 = R 1 2 R 2 2 = R 1 2 R 1 2 2 = 4 ⇒ g 2 = 4 g