If Earth be at one fourth its present distance from the Sun, how many days will there be in a year?

Explanation

`T_(1)=365"days",R_(1)=R,R_(2)=(R)/(4)`
`T_(2)=T_(1)((R_2)/(R_1))^(3//2)=365((R//4)/(R))^(3//2)`
`=365xx(1)/(8)=45.62`days