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JIPMER2019PhysicsGravitation

A planet of radius R has a time period of revolution T. Find time period of a planet of radius 9 R ?

Options

  1. A3 3 T
  2. B9 T
  3. C27 T
  4. D9 3 T

Correct answer

C. 27 T

Step-by-step solution

By Kepler's third law of planetory motion, Given, aligned T₁ T₂ & = ( a₁ a₂ )^ 3 / 2 T₁ & =T, a₁=R, T₂=?, a₂=9 R T T₂ & = ( R 9 R )^ 3 / 2 , T T₂ = [ ( 1 3 )^2 ]^ 3 / 2 T T₂ & = 1 27 T₂=27 ~T aligned

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