- When a wire's length is halved, its resistance decreases because resistance is directly proportional to length.
- The formula for resistance (\( R \)) is \( R = \rho \frac{L}{A} \), where \( \rho \) is resistivity, \( L \) is length, and \( A \) is cross-sectional area.
- For a given potential difference (\( V \)), the current (\( I \)) is given by Ohm's Law: \( I = \frac{V}{R} \).
- If the wire's length is halved, resistance becomes half, doubling the current through the wire.

- **Option 1: be doubled** - ✅ Correct. The current will be doubled when the length is halved.
- Option 2: be halved - Incorrect. This happens if resistance increases, not decreases.
- Option 3: remain unchanged - Incorrect. Resistance change affects the current.
- Option 4: become zero - Incorrect. Only happens if no potential difference or an open circuit exists.

**YOUR ANSWER SEEMS WRONG**