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The time period of jupiter is 11-6 year,...

The time period of jupiter is 11-6 year, how far is jupitor from the sun. Distance of earth from the sun is `1.5 xx 10^(11) m`.

Text Solution

Verified by Experts

Here `T_(J)=11.6` years, `r_(J)=?`
`T+e=1` year, `r_(e)=1.5xx10^(11)m`
As `(T_(J)^(2))/(T_(e)^(2))=(r_(J)^(3))/(r_(e)r^(3))` or `r_(J)=r_(e)((T_(J))/(T_(e)))^(2//3)`
`r_(J)=1.5xx10^(11)((11.6)/(1))^(2//3)=7.68xx10^(11)m`
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