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.

The mean distance of a planet from the sun is apprximately 1/4 times t

1.	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.
Answer» SOLUTION :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