A helical coil spring with $\backslash (\backslash$mathrm$\{$D$\}=50\backslash$mathrm$\{$~mm$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$d$\}=5\mathrm{.}5\backslash$mathrm$\{$~mm$\}\backslash )$ is wound with a pitch of $10$ mm to a free length of $95\mathrm{.}5$ mm $.$ The ends of the spring are plain and ground. The material is ASTM A$227$ hard$-$drawn wire.

$($a$)$ If the spring is compressed solid, would you expect it to return to its original free length when the force is removed?

$($b$)$ Would the spring buckle during compression?