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Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth at height of 600 km and 1600 km respectively. If TA and TB are the time periods of A and B respectively then the value of TB−TA : [Given : radius of earth = 6400 km, mass of earth=6×1024kg]

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a

4.24×102s

b

1.33×103s

c

3.33×102s

d

4.24×103s

answer is B.

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Detailed Solution

Orbital speed, V=GMr Time Period, T=2πrGMr=2πrrGM⇒T=4π2r3GM=2πr3GM∴TB−TA=2π×8000×10336.67×10−11×6×1024−2π×7000×10336.67×10−11×6×1024=1.289×103s Closest option is (2)

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Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth at height of 600 km and 1600 km respectively. If TA and TB are the time periods of A and B respectively then the value of TB−TA : [Given : radius of earth = 6400 km, mass of earth=6×1024kg]