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

Options

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

Answer

D

Explanation

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