If the distance between the sun and the earth is increased by three times, then attraction between two will

Options

A. remain by 63%
B. decrease by 63%
C. increase by 63%
D. decrease by 89%

Answer

D

Explanation

`F=(Gm_(1)m_(2))/(r^(2))` and `F=(Gm_(1)m_(2))/(3r)^(2=(F)/(9)`
`therefore` % decrease in `F=(F-F')/(F)xx100`
`=8/9xx100=89%`
Thus attraction force between sun and earth is decreased by 89%