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Q.

A near earth orbit satellite of earth experiences very small air resistance. It’s period of revolution decreases by 1.08 sec/day.

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a

It’s radius decreases by 1603  m in 1 day.

b

It’s radius decreases by  1603  m in 1 revolution.

c

It’s angular momentum decreases.

d

It’s mechanical energy increases.

answer is A, C.

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Detailed Solution

T=2πGMR3

T2=4π2GMR32ΔTT=3ΔRR

2×1.0886,400=3×ΔR6400kmΔR=1603m

Its angular  momentum decreases because its radius decreases due to air resistance. This is because due to air resistance its energy decreases.

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