An induced emf is produced when a magnet is plunged into a coil. The magnitude of the induced emf is independent of

the resistivity of the wire of the coil

The correct answer is Option (3) → the resistivity of the wire of the coil

The induced emf in a coil is given by Faraday's law:

$\mathcal{E} = -N \frac{d\Phi}{dt}$, where $N$ = number of turns, $\Phi$ = magnetic flux

Factors affecting emf:

→ Strength of the magnet → affects flux → emf changes

→ Speed of magnet → affects rate of change of flux → emf changes

→ Number of turns → directly proportional → emf changes

→ Resistivity of the wire → does not affect emf; it affects current, not emf

∴ Magnitude of induced emf is independent of the resistivity of the wire of the coil