Discussion
The mismatched pair regarding the induced emf is
Answer: C
The mismatched pair is Induced emf : Biot - Savart law.
Induced emf is governed by Faraday's law of electromagnetic induction (with Lenz's law for its direction). The Biot-Savart law gives the magnetic field produced by a current, a different phenomenon.
The other pairs are correct: induction furnaces heat metal with eddy currents, transformer cores are laminated to reduce eddy currents, an ac generator works by electromagnetic induction, and coaxial coils are the standard example of mutual inductance.
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