NEETPhysics-Gravitation

NEET Physics Acceleration due to Gravity MCQ Question

Type: MCQ-numerical-Medium-Class 11

Two planets A and B of radii R and 1.5 R have densities ρ and ρ/2 respectively. The ratio of acceleration due to gravity at the surface of B to A is :

A

2 : 3

B

2 : 1

C

3 : 4

D

4 : 3

Correct Answer

Option A

Detailed Explanation

Using g = G(M/R²) and M = ρV, the ratio g_B/g_A = (ρ/2 * (4/3)π(1.5R)³) / (ρ * (4/3)πR³) = 2/3.

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