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MHT CET20249 May 2024Morning ShiftPhysicsGravitationActual

The period of a planet around the sun is 8 times that of earth. The ratio of radius of planet's orbit to the radius of the earth's orbit is .

Options

  1. A4
  2. B8
  3. C16
  4. D64

Correct answer

A. 4

Step-by-step solution

From Kepler's third law, T^2 r^3 or T^2 r^3 = Constant Using ratio of time periods of the two planets, T_c^2 T_p^2 = r_ p ^3 T_ p ^3 Given: T_p=8 T_e aligned & T_e^2 (8 T_e )^2 = r_t^3 r_p^3 1 64 = r_e^3 r_p^3 & r_e r_p = ( [3] 1 64 )= 1 4 NOW, rp / re =4 aligned

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