If the Earth be one third its present distance from the sun, how many days will the present one year on the surface of Earth will change?

Explanation

Here, `T_(1) = 365 days , r_(1) = r , T_(2) = ? , r_(2) = r//3`
As `(T_(2)^(2))/(T_(1)^(2)) = (r_(2)^(3))/(r_(1)^(3))`
or `T_(2) = T_(1) ((r_(2))/(r_(1)))^(3//2) = 365 ((r//3)/(r ))^(3//2)`
`= 70.25 days`
Therefore, the decrease in number of days in one year will be `= 365 - 70.25 = 294.75 days`