Step 1: Identify oil of vitriol.
Oil of vitriol is the common name of sulphuric acid, whose chemical formula is \(\mathrm{H_2SO_4}\).
Step 2: Assign known oxidation states.
Hydrogen has oxidation state \(+1\) and oxygen has oxidation state \(-2\).
Step 3: Calculate oxidation state of sulphur.
Let the oxidation state of sulphur be \(x\). Then:
\[
2(+1) + x + 4(-2) = 0
\]
\[
x = +6
\]
Step 4: Conclusion.
Therefore, the oxidation state of sulphur in oil of vitriol is \(+6\).