Step 1: Understanding the Concept
Transition metals melt at high temperatures because both the (n-1)d and ns electrons take part in metallic bonding.
More unpaired d electrons mean stronger metallic bonds.
Step 2: Trend across the series
Across the first series the melting point rises to a maximum near the \(d^{5}\) configuration and then falls as the electrons start to pair up.
Step 3: Compare the metals
Chromium, \([\text{Ar}]\,3d^{5}4s^{1}\), has six unpaired electrons, which is more than V, Mn or Fe.
Manganese has an unusually low melting point because of its stable half-filled 4s and 3d arrangement.
Step 4: Conclusion
So chromium has the highest melting point among the given elements.
Final Answer:
Chromium has the highest melting point in the first transition series among the options.
\[ \boxed{\text{(B) }\text{Chromium}} \]