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JIPMER2006PhysicsGravitation

Earth is revolving around the sun. If the distance of the earth from the sun is reduced to 1 / 4 th of the present distance then the length of present day will be reduced by :

Options

  1. A1 4
  2. B1 2
  3. C1 8
  4. D1 6

Correct answer

C. 1 8

Step-by-step solution

From Kepler's law aligned & T^2 R^3 & ( T₁ T₂ )^2= ( R₁ R₂ )^3 & T₁ T₂ = ( R₁ R₂ )^ 3 / 2 = ( R R / 4 )^ 3 / 2 & =(4)^ 3 / 2 =(2)^3=8 & T₂= T₁ 8 & aligned Hence, the length of the day is reduced by 1 8 .

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