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JEE Main2003PhysicsGravitationActual

The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become

Options

  1. A10 hours
  2. B80 hours
  3. C40 hours
  4. D20 hours

Correct answer

C. 40 hours

Step-by-step solution

T ^2 R ^3 ( T ₁ ~T ₂ )^2= ( R ₁ R ₂ )^3 ( T ₁ ~T ₂ )= ( R ₁ R ₂ )^ 3 / 2 = ( 1 4 )^ 3 / 2 T ₂ ~T ₁ =(4)^ 3 / 2 =8 T ₂=8 T ₁=8 5=40=40 hours

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