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

Options

A. 10
B. 100
C. 10`sqrt(10)`
D. 1000

Answer

C

Explanation

`T^(2) prop R^(3)` (According to Kepler.s law)
`T_(1)^(2) prop (10^(13))^(3) and T_(2)^(2) prop (10^(12))^(3)`
`therefore (T_(1)^(2))/(T_(2)^(2)) = (10)^(3) or (T_(1))/(T_(2)) = 10 sqrt(10)`