Average distance of the earth from the sun is `L_(1)`. If one year of the earth =D days, one year of another planet whose average distance from the sun is `L_(2)` will be

Options

A. `D((L_2)/(L_1))^(1//2)` days
B. `D((L_2)/(L_1))^(3//2)` days
C. `D((L_2)/(L_1))^(2//3)` days
D. `D((L_2)/(L_1))` days

Answer

B

Explanation

`(T_1)/(T_2)=((R_1)/(R_2))^(3/2)rArrD/(T^2)=((L_1)/(L_2))^(3/2)rArrT_2=((L_2)/(L_1))^(3/2)D` days