Zinc (\( \text{Zn} \)) in the 3d series of transition elements exhibits a lower oxidation state. Unlike other transition elements, which commonly show variable oxidation states due to their partially filled \( d \)-orbitals, zinc has a completely filled \( d^{10} \)-orbital configuration.
Electronic Configuration of Zn:
\[
\text{Zn: } [\text{Ar}] 3d^{10} 4s^2
\]
Since the \( 3d \)-orbitals are fully filled, zinc typically shows an oxidation state of \( +2 \) due to the loss of its two \( 4s \)-electrons, which is lower compared to other elements in the 3d series.
Conclusion: Zinc shows the lowest oxidation state compared to other elements in the 3d series.