A saturn year is 29.5 times the earth year. How far is the saturn from the sun if the earth is `1.5xx10^(8)` away from the sun?

Options

A. `3xx10^(8)km`
B. `4.5xx10^(8)km`
C. `6xx10^(8)km`
D. `9xx10^(8)km`

Answer

C

Explanation

`(T_(2)^(2))/(T_(1)^(2))=((r_(2))/(r_(1)))^(3)" " therefore ((r_(2))/(r_(1)))=((T_(2))/(T_(1)))^(2//3)=(8)^(2//3)=4`
`therefore r_(2)=4r_(1)=6xx10^(8)km`