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Gravitation

Question
CBSEENPH11026141

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

  • 14

  • 12

  • 18

  • 16

Solution

C.

18

Law of periods:- The square of the time period of revolution of a planet is proportional to the cube of the semi-major axis of the ellipse traced out by the planet.

From Kepeler's law

T2 ∝ R3

T1T22 =R1R23T1T2=R1R232T1T2  =RR432        =  432         = 23    T1T2 = 8 T2 = T18