The distance of two planets from the Sun are `10^(13)and10^(12)` metres respectively. The ratio of time periods of these two planets is:

Options

A. 100
B. `sqrt(10)`
C. `10sqrt(10)`
D. `(1)/(sqrt10)`

Answer

C

Explanation

According to Kepler's law,
`((T_1)^(2))/((T_2)^(2))=((R_1)^(3))/((R_2)^(3))=((10^(13))/(10^(12)))rArr(T_1)/(T_2)=10sqrt(10)`