Step 1: Understanding the Concept:
By IUPAC convention, a standard electrode potential refers to the reduction half reaction measured against the standard hydrogen electrode (SHE).
Step 2: Detailed Explanation:
For the \(\text{Cu}^{2+}/\text{Cu}\) electrode, the reduction is
\[ \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu}, \quad E^\circ = +0.34\ \text{V} \]
Option (A) is the reverse (oxidation), so its potential would be \(-0.34\) V. Options (C) and (D) involve \(\text{Cu}^+\) and \(\text{Cu}^{3+}\), which are not the \(\text{Cu}^{2+}/\text{Cu}\) couple, and are oxidations.
Step 3: Final Answer:
Option (B) is the reaction for \(E^\circ = 0.34\) V.
Final Answer:
Standard potentials are for reduction half reactions.
\[ \boxed{\text{(B) }\text{Cu}^{2+}+2e^-\rightarrow\text{Cu}} \]