Two satellites A and B of masses 200   kg and 400   kg are revolving round the earth at height of…

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 =6×1024 kg ]

  1. 4.24×103 s
  2. 3.33×102 s
  3. 1.33×103 s
  4. 4.24×102 s

Solution

⇒T=2πr3GM

⇒TA=2π6400+600×103GM

⇒TB=2π×10983GM

⇒TB-TA=2π109GM88-77

=314×4.107

=1289.64

=1.289×103 s

Asked in: JEE Main 2021 (25 Feb Shift 1)

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