JEE Physics 2025 Question with Solution

Given: Five statements about self-inductance, labeled $A$ to $E$.

Find: Which statements are correct.

Analyze each statement one by one:

1. Statement $A$: The self-inductance of the coil depends on its geometry. This is correct because self-inductance depends on quantities such as the number of turns, cross-sectional area, and length of the coil. These are geometrical factors.

2. Statement $B$: Self-inductance does not depend on the permeability of the medium. This is incorrect. Self-inductance does depend on the permeability of the medium. For a coil,

so inductance increases with permeability.

3. Statement $C$: Self-induced e.m.f. opposes any change in the current in a circuit. This is correct by Lenz's law. The induced e.m.f. always opposes the change in current producing it.

4. Statement $D$: Self-inductance is the electromagnetic analogue of mass in mechanics. This is correct because mass resists change in velocity, while self-inductance resists change in current.

5. Statement $E$: Work needs to be done against self-induced e.m.f. in establishing the current. This is correct because energy must be supplied to build up current against the back e.m.f.

Therefore, the correct statements are $A$, $C$, $D$, and $E$ only. Hence, the correct option is B.