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Earth is revolving around the Sun if the distance of the earth from the sun is reduced to one fourth of the present distance and present in and reduced by

Earth is revolving around the Sun if the distance of the earth from the sun is reduced to one fourth of the present distance and present in and reduced by

Grade:11

2 Answers

Arun
25750 Points
6 years ago
Dear Hartvik
 
According to Kepler's third law, the square of orbital period, T, of a planet is proportional to the cube of its mean distance, R, from the sun.

T2 ∝ R3

T ∝ √R3
T1/T2 = √R13 / √R23
         = √R13 / (√(R1/4)3 
         = √(43)
         = 8

T2 = T1/8

 T2 = 45 days approx
 
Regards
Arun(askIITians forum expert)
Rohit
47 Points
6 years ago
this should be done by differentiating seperately i mean partial differention the other way is that to sub no other way than this the best way is partial differentiation

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