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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` km away from the sun?

Text Solution

Verified by Experts

Here, `T_s=29.5 T_e, R_e=1.5xx10^8 km , R_s=`?
Using the relation, `(T_s^2)/(R_s^3)=(T_e^2)/(R_e^3)`
or `R_s=R_e((T_s)/(T_e))^(2/3)=1.5xx10^8((29.5T_e)/(T_e))^(2/3)`
`=1.43xx10^9` km.
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