Step 1: Understanding the Question:
The question asks to identify the incorrect statement regarding the conditions under which a galvanometer connected to a coil shows a deflection during electromagnetic induction experiments.
Step 3: Detailed Explanation:
According to Faraday's experiments, an electromotive force (emf) is induced in a coil only when there is a change in the magnetic flux linked with it. This change in flux is typically caused by the relative motion between the source of the magnetic field (the magnet) and the conductor (the coil).
- Statements (a), (b), and (c): All these cases involve relative motion between the magnet and the coil. This motion changes the magnetic flux passing through the coil, inducing a current and causing the galvanometer pointer to deflect. Thus, these statements describe correct observations.
- Statement (d): When both the coil and the magnet move with the same velocity in the same direction, there is no relative motion between them. Consequently, the magnetic flux through the coil remains constant, no emf is induced, and the galvanometer pointer does not deflect. Stating that the pointer deflects in this scenario is WRONG.
Step 4: Final Answer:
The only wrong statement is (d). Hence, the correct option is (4).