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 :
Options

Question

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 :

Options

G1 Physics · Accepted Answer

g = GM/R² For constant mass, g ∝ 1/R² If diameter becomes half, radius also becomes half: R₂ = R₁/2 Therefore, g₂/g₁ = R₁²/R₂² = 4 Hence, g₂ = 4g Correct option: D.