(b)
$\ \ \ CH_{2}Br\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ CH$
$\ \ \ \ |\ \ \ \ \ + \ \ \ 2KOH\overset{\ \ \ \ \ \ \ \ \mathrm{\Delta}\ \ \ \ \ \ \ }{\rightarrow}\ \ |||\ + 2KBr + 2H_{2}O$
$\ \ CH_{2}Br\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ CH$
ethylene dibromide acetylene
This is a dehydrohalogenation reaction.