The mean distance of a planet from the sun is apprximately 1/4 times that of earth from the sun. Find the number of years required for planet to make one revolution about the sun.

Explanation

Given `r_(P)=1/2r_(E)` and `T_(E)=1` yr
From Kepler.s third law `T^(2) alpha r^(3)`
`((T_(P))/(T_(E)))^(2)=((r_(P))/(r_(E)))^(3)impliesT_(P)=T_(E)((r_(P))/(r_(E)))^(3/2)`
`T_(P)=(1)((r_(E))/(4r_(E)))^(3/2)=(1/4)^(3//2)=0.125` yrs