Step 1: Complex Charge
The complex dissociates as $[Fe(H_2O)_5NO]^{2+}$ and $SO_4^{2-}$.
Step 2: Ligand Nature
In this specific complex, the nitric oxide ($NO$) ligand exists in the form of the nitrosyl ion ($NO^+$). Water is neutral ($H_2O = 0$).
Step 3: Calculation
Let oxidation state of $Fe$ be $x$: $x + 5(0) + (+1) = +2 \Rightarrow x = +1$.
Final Answer: (d)