the distance between two planets from sun are 1013 and 1012m respectively. find the ratio of time period and speed of two planets.

Ra=10^13 Rb=10^12

Ta/Tb =? Va/Vb = ?

(Ta/Tb)^2 = (Ra/Rb)^3

(Ta/Tb) = (Ra/Rb)^3/2

=(10^13/10^12)^3/2

=10 (10)^1/2

Va=2 pie Ra/Ta Vb= 2 pie Rb/Tb

Va/Vb = Ra/Rb * Tb/Ta = 10^13/10^12 *1/10 (10)^1/2

= 1/(10)^1/2

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