JEE Main Physics question
The mass of the earth is increasing at the rate of 1 part in per day, due to the attraction of meteors falling normally on the earth's surface. Assuming that the density of the earth is uniform, the rate of change of the period of rotation of the earth is
Answer: (B)
Solution
With the earth's radius essentially unaffected (meteors add mass at the surface without materially changing the effective radius) and for fixed , angular momentum conservation const gives const, i.e. const, so the fractional rate of change is
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