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MHT CET Physics question

PhysicsSystems of Particles and Rotational MotionMHT CET

The mass of the earth is increasing at the rate of 1 part in per day by the attraction of meteors falling normally on the earth's surface. Assuming that the density of earth is uniform, the rate of change of the period of rotation of the earth is

Answer: (A)

Solution

Meteors falling normally carry no angular momentum, so I ω is constant and T is proportional to I = (2/5)MR²; with R taken fixed, dT/T = dM/M = 1/(5 ×

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Question ID VK-040763