Step 1: Concept
Drift velocity $v_d = \frac{eV\tau}{mL}$, so $v_d \propto V$.
Step 2: Meaning
Drift velocity is directly proportional to the applied potential difference.
Step 3: Analysis
To double the velocity, the potential must also be doubled.
Step 4: Conclusion
Increase the potential 2 times.
Final Answer: (B)