The statement that is NOT true about induced emf is:

The correct answer is Option (4) → Larger the amount of magnetic flux linked with a circuit greater is the emf induced in it

Faraday's law of electromagnetic induction says that the induced emf equals the rate of change of magnetic flux linked with the circuit, and Lenz's law gives its direction.

    \( \displaystyle \varepsilon = -\frac{d\Phi_B}{dt} \)

The emf depends on how fast the flux changes, not on how much flux is linked.

Option (1) The induced emf lasts so long as the change in magnetic flux continues — True statement (Incorrect). The emf exists only while \( d\Phi_B/dt \ne 0 \); once the flux stops changing, the emf becomes zero.

Option (2) The direction of induced emf is given by Lenz's law — True statement (Incorrect). Lenz's law gives the direction (the minus sign in Faraday's law).

Option (3) Whenever the amount of magnetic flux linked with a circuit changes, an emf is induced in the circuit — True statement (Incorrect). This is Faraday's law itself: any change in the linked flux induces an emf.

Option (4) Larger the amount of magnetic flux linked with a circuit greater is the emf induced in it — False statement (Correct). A large but steady flux induces no emf at all, while a small flux changing quickly can induce a large emf.

NCERT (2026-27):
Faraday’s Law of Induction – “… The magnitude of the induced emf in a circuit is equal to the time rate of change of magnetic flux through the circuit. Mathematically, the induced emf is given by

    \( \displaystyle \varepsilon = -\frac{d\Phi_B}{dt} \qquad (6.3) \)”