A satellite is moving in a circular orbit around earth. If percentage error in measuring its time period of rotation is 1% and in measuring the radius of orbit is 2%, then what is the maximum possible error in the angular momentum of the satellite about the centre of earth?

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answer is 1.

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Detailed Solution

L=mVr=mωr2=m2πTr2∴ (ΔLL)max⁡×100%=2(Δrr)×100%+(ΔTT)×100%=2×2%+1%=5%

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