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A saturn year is 29.5 times the earth ye...

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?

Text Solution

Verified by Experts

It is given that
`T_(s)=29.5T_(e )`, `R_(e )=1.5xx10^(11)m`
Now, according to Kelper.s third law
`(T_(s)^(2))/(T_(e)^(2))=(R_(e )^(3))/(R_(s)^(3))` `R_(s)=R_(e )((T_(s))/(T_(e )))^(2//3)=1.5xx10^(11)((29.5T_(e ))/(T_(e )))^(2//3)`
`=1.43xx10^(12)m=1.43xx10^(9)km`
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