AIIMS 2000 Physics Faraday's Law of Electromagnetic Induction MCQ Question

Statement B is correct because when a coil of metal wire is placed in a non-uniform magnetic field, a change in magnetic flux through the coil induces an electromotive force (emf) according to Faraday's law of electromagnetic induction. This can be mathematically expressed as: $\text{emf} = -\frac{d\Phi_B}{dt}$, where $\Phi_B$ is the magnetic flux.

Statement A is incorrect because while a large magnetic flux can induce a current, it does not maintain it if the circuit is continuous; the current will only persist if there is a changing magnetic field or if the circuit is closed with a constant emf source.

Statement C is incorrect because a charged particle entering a uniform magnetic field at an angle other than 90° will not move in a circular path; instead, it will follow a helical path due to the component of its velocity parallel to the magnetic field.

Statement D is also correct in a sense, as the magnetic force does not do work on the charged particle (since the force is always perpendicular to the velocity), but the statement does not fully capture the dynamics of the particle's motion in a magnetic field. The energy remains constant, but the particle's direction changes. Therefore, B is the most accurate statement regarding electromagnetic induction.