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JEE Main202523 Jan 2025Evening ShiftPhysicsGravitationActual

If a satellite orbiting the Earth is 9 times closer to the Earth than the Moon, what is the time period of rotation of the satellite? Given rotational time period of Moon =27 days and gravitational attraction between the satellite and the moon is neglected.

Options

  1. A27 days
  2. B1 day
  3. C81 days
  4. D3 days

Correct answer

B. 1 day

Step-by-step solution

aligned & T ^2 R ^3 & ( ~T _ m T _ s )^2= ( R R / 9 )^3 & ~T _ m T _ s =(3)^3 & ~T _ s = ( 27 27 )=1 day aligned

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