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AP EAMCET202316 May 2023Morning ShiftPhysicsGravitationActual

The time period of a 1500 ~kg satellite is equal to the time period of rotation of the earth. The altitude of the satellite is nearly

Options

  1. A42,211 ~km
  2. B35,840 ~km
  3. C6,400 ~km
  4. D13,800 ~km

Correct answer

B. 35,840 ~km

Step-by-step solution

Mass of satellite, m =1500 ~kg Time period of satellite, T =26 60 60=93,600 sec aligned & T =2 R ^3 GM & R ^3= T ^2 GM 4 ^2 & Altitude, A = ( T ^2 GM 4 ^2 )^ 1 3 - R aligned

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