Two objects, with masses m$1$ and m$2,$ are originally a distance r apart. The gravitational force between them has magnitude F$.$ The second object has its mass changed to $2$m$2,$ and the distance is changed to r$/4.$ What is the magnitude of the new gravitational force?

Question $6$Select one:

a$.$

$32$F

b$.$

F$/16$

c$.$

F$/32$

d$.$

$16$F