AIPMT PRELIMS2012Physics-Gravitation

AIPMT PRELIMS 2012 Physics Acceleration due to Gravity MCQ Question

Type: MCQ-numerical-Medium-Class 11

A spherical planet has a mass Mₚ and diameter Dₚ. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

A

4 GMₚ m / Dₚ²

B

4GMₚ / Dₚ²

C

GMₚ m/Dₚ²

D

GMₚ / Dₚ²

Correct Answer

Option B

Detailed Explanation

The acceleration due to gravity at the surface of a planet is given by g = GMₚ / R². For a spherical planet, R = Dₚ/2, so g = 4GMₚ / Dₚ².

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