When a planet is orbiting around the sun in an elliptical orbit, `r_(1) and r_(2)` denote its closest and farthest distances from the sun. Then the ratio of the magnitudes of maximum and minimum gravitational forces between them is

Options

A. `r_(1):r_(2)`
B. `r_(1)^(2):r_(2)^(2)`
C. `r_(2):r_(1)`
D. `r_(2)^(2):r_(1)^(2)`

Answer

d

Explanation

`(F_("max"))/(F_("min"))=((r_(2))/(r_(1)))^(2)=(r_(2)^(2))/(r_(1)^(2)).`