The distance of two planets from the sun are `10^(13) and 10^(12)` m respectively. The ratio of the periods of the planet is

Explanation

As `T^(2)prop R^(3)` …. (By Kepler's third law)
`therefore (T_(1)^(2))/(T_(2)^(2))=(R_(1)^(3))/(R_(2)^(3))`
`therefore (T_(1)^(2))/(T_(2)^(2))=[(10^(13))/(10^(12))]^(3)`
`therefore [(T_(1))/(T_(2))]^(2)=10^(3)`
`therefore (T_(1))/(T_(2))=(10sqrt(10))/(1)`