Step 1: Understanding the electrochemical cell.
In an electrochemical cell, the cathode is where reduction occurs. In the given cell, zinc (Zn) undergoes oxidation at the anode, and copper (Cu) undergoes reduction at the cathode.
Step 2: Analyzing the cell setup.
The cell notation represents the two half-cells: the left half-cell (\( \text{Zn} | \text{ZnSO}_4 \)) is where zinc undergoes oxidation, and the right half-cell (\( \text{CuSO}_4 | \text{Cu} \)) is where copper undergoes reduction. Since reduction occurs at the cathode, copper (Cu) is the cathode.
Step 3: Conclusion.
The correct answer is (B) because copper (Cu) is the cathode where reduction takes place.