Two spheres with charges $-$Q and $+4$Q are fixed at a separation distance of $3$R$.$ Is it possible to place another charged sphere Q$$ on the line between the two charges such that the net force on Q$$ is zero? Select one of the following options and justify your answer:

$1.$Yes, but only if Q$$ is positive.

$2.$ Yes, but only if Q$$ is negative.

$3.$ Yes, regardless of the sign $($or value$)$ of Q$.$

$4.$ No$,$ the net force can never be zero.