Step 1: Understanding the Concept:
A metre bridge is based on the principle of the Wheatstone bridge. A property of the Wheatstone bridge is its "conjugate" nature.
Step 2: Detailed Explanation:
1. In a standard Wheatstone bridge, the cell and the galvanometer are placed in two opposite arms.
2. If the bridge is balanced ($P/Q = R/S$), interchanging the positions of the battery and the galvanometer does not affect the balance condition.
3. Therefore, even after interchanging, a balance point (null point) will still exist where the galvanometer shows no deflection.
4. On either side of this balance point, the potential difference across the galvanometer will change sign, causing deflections in opposite directions.
Step 3: Final Answer:
The galvanometer will still show both-sided deflections and zero deflection at the balance point.