AIIMS2018Physics-Gravitation

AIIMS 2018 Physics Orbital Motion MCQ Question

Type: MCQ-conceptual-Medium-Class 11

The period of moon’s rotation around the earth is nearly 29 days. If moon’s mass were 2 fold its present value and all other things remain unchanged, the period of moon’s rotation would be nearly

A

29√2 days

B

29/√2 days

C

29×2 days

D

29 days

Correct Answer

Option D

Detailed Explanation

The period of the Moon's rotation around the Earth is determined by Kepler's laws of planetary motion, specifically the third law, which states that the square of the orbital period (T) is proportional to the cube of the semi-major axis (r) of its orbit, expressed as T² ∝ r³. Since the mass of the Moon does not affect its orbital period around the Earth, doubling its mass will not change the period, which remains approximately 29 days. Other options suggest changes in the period based on mass alterations, which is incorrect because the gravitational influence of the Earth on the Moon's orbit is the primary factor, not the Moon's mass itself.

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