Final answer:
Both voltage and current are induced at the frequency at which the magnet moves into and out of a wire coil, adhering to Faraday's Law of Induction.
Step-by-step explanation:
The frequency with which a magnet plunges into and out of a wire coil equals the frequency of the induced voltage and current. This is because, according to Faraday's Law of Induction, a changing magnetic field induces an electromotive force (emf) in a coil, and this emf drives the current through the coil if the circuit is closed. As the magnet moves in and out of the coil, it changes the magnetic flux through the coil, thereby inducing an emf at the same frequency as the magnet's motion. This induced emf causes a current to flow through the coil if it is part of a complete circuit.