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

Explanation

Given `r_(p)=1/4 r_(E)` and `T_(E)=1 yr`
From kepler's thir law, `T^(2)alphar^(3)`
`((T_(P))/(T_(E)))^(2)=((r_(P))/(r_(E)))^(2)rArr T_(P)=T_(E)=((r_(P))/(r_(E)))^(3/2)`
`T_(p)=(1)((r_(E))/(4r_(E)))^(3/2)=(1/4)^(3//2)=0.125 yr`