$(1)(1$ point$)$

Two point charges attract each other with an electric force of magnitude $F.$ If the charge of one is reduced to one third its original value, while the other retains its original charge, and then the distance between the charges is doubled, what is the resulting magnitude of the electric force between them?

$($a$)\frac{1}{12}F$

$($b$)\frac{1}{3}F$

$($c$)\frac{1}{6}F$

$($d$)\frac{3}{4}F$

$($c$)\frac{3}{2}F$

$($f$)6F$