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JEE Main Physics: Faraday's law and Lenz's law Practice Questions

14 free multiple-choice questions on Faraday's law and Lenz's law (Electricity and Magnetism) for JEE Main Physics, each with the correct answer and a step-by-step explanation. Attempt a question, then reveal the solution to check your reasoning.

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  1. Q1. When a magnetic dipole is placed in a uniform magnetic field, the magnetic dipole experiences a force only if:

    • AThe magnetic dipole moment is zero
    • BThe dipole is rotating
    • CThe field is non-uniform
    • DThe magnetic field is zero
    Show answer & explanation

    Correct answer: C — The field is non-uniform

    A magnetic dipole experiences a force (F⃗ = I(vec(dl) × B⃗)) only when the magnetic field is non-uniform or if the magnetic dipole is rotating within the field. For a simple static case, if the field is uniform, the force is zero.

  2. Q2. When a conductor moves in a magnetic field, the induced EMF arises due to:

    • Athe change in magnetic flux linked with the conductor
    • Bthe Lorentz force acting on the charge
    • Cthe resistance of the conductor
    • Dthe motion of charges relative to the field
    Show answer & explanation

    Correct answer: A — the change in magnetic flux linked with the conductor

    The EMF is induced because the conductor cuts the magnetic flux lines, causing the magnetic flux linked with it to change, per Faraday's law.

  3. Q3. Lenz's law is fundamentally based on which principle of physics?

    • AConservation of Energy
    • BConservation of Momentum
    • CConservation of Magnetic Flux
    • DConservation of Charge
    Show answer & explanation

    Correct answer: A — Conservation of Energy

    Lenz's law is a direct consequence of the law of conservation of energy. The opposition to the change in flux causes an opposing force, which results in energy dissipation or conservation in the system.

  4. Q4. The magnitude of the induced EMF in a conductor is directly proportional to:

    • AThe rate of change of magnetic flux linkage
    • BThe length of the conductor
    • CThe magnetic field strength
    • DThe area of the conductor
    Show answer & explanation

    Correct answer: A — The rate of change of magnetic flux linkage

    The induced EMF is proportional to the rate at which the magnetic flux passing through the circuit changes.

  5. Q5. Magnetic flux is defined as the measure of:

    • Athe magnetic field strength per unit area
    • Bthe total number of magnetic field lines passing through a given area
    • Cthe rate of change of magnetic field
    • Dthe strength of the magnetic field at a point
    Show answer & explanation

    Correct answer: B — the total number of magnetic field lines passing through a given area

    Magnetic flux (Φ_B) is the measure of the total magnetic field lines passing perpendicularly through a given surface area.

  6. Q6. If the magnetic flux linked with a coil is kept constant, the induced EMF in the coil will be:

    • Ainversely proportional to the time
    • Bproportional to the area
    • Czero
    • Dmaximum
    Show answer & explanation

    Correct answer: C — zero

    According to Faraday's law (mathcalE = -dΦ_B/dt), if the flux (Φ_B) is constant, the rate of change of flux is zero, thus the induced EMF is zero.

  7. Q7. If the magnetic flux linked with a circuit is zero, the magnetic field passing through the circuit must be:

    • AZero
    • BMaximum
    • CUniform and constant
    • DNon-zero but changing
    Show answer & explanation

    Correct answer: A — Zero

    Magnetic flux (Φ_B) is the product of the magnetic field (B) and the area (A). If the flux is zero, it implies either B=0 or A=0. For a meaningful scenario where the system exists, zero flux implies zero magnetic field or zero area enclosed.

  8. Q8. Lenz's law is fundamentally a statement of which physical principle?

    • AConservation of momentum
    • BConservation of magnetic flux
    • CConservation of charge
    • DConservation of energy
    Show answer & explanation

    Correct answer: D — Conservation of energy

    Lenz's law dictates the direction of the induced current to oppose the change in magnetic flux, which is a direct consequence of the conservation of energy.

  9. Q9. If the magnetic flux linked with a loop is constant, what is the induced electromotive force (EMF) in that loop?

    • AZero EMF
    • BEMF is proportional to rate of change of flux
    • CEMF is inversely proportional to magnetic field strength
    • DMaximum EMF
    Show answer & explanation

    Correct answer: A — Zero EMF

    According to Faraday's law, the induced EMF is proportional to the rate of change of magnetic flux. If the flux is constant (i.e., dΦ_B/dt = 0), the induced EMF is zero.

  10. Q10. Lenz's law is a consequence of which principle?

    • AConservation of Angular Momentum
    • BConservation of Momentum
    • CConservation of Energy
    • DConservation of Charge
    Show answer & explanation

    Correct answer: A — Conservation of Angular Momentum

    Lenz's law is a statement of the conservation of energy, ensuring that the induced effect opposes the change that caused it.

  11. Q11. According to Faraday's law of electromagnetic induction, the magnitude of the induced electromotive force (EMF) in a circuit is proportional to:

    • Athe current flowing in the circuit
    • Bthe rate of change of magnetic flux linked with the circuit
    • Cthe area of the loop
    • Dthe magnetic field strength itself
    Show answer & explanation

    Correct answer: B — the rate of change of magnetic flux linked with the circuit

    Faraday's law states that the induced EMF is directly proportional to the rate of change of magnetic flux linked with the circuit.

  12. Q12. When the magnetic flux passing through a coil is increasing, the direction of the induced current will be determined by:

    • AThe direction of the magnetic field lines
    • BThe direction of the magnetic field
    • CThe direction opposite to the rate of change of flux
    • DThe direction required to oppose the change in flux
    Show answer & explanation

    Correct answer: D — The direction required to oppose the change in flux

    Lenz's law states that the induced current flows in a direction that opposes the change in magnetic flux that produced it.

  13. Q13. The magnitude of the induced EMF in a circuit is directly proportional to the rate of change of magnetic flux. This statement is consistent with which law?

    • AGauss's Law
    • BFaraday's Law of Induction
    • CBiot-Savart Law
    • DAmpere's Law
    Show answer & explanation

    Correct answer: B — Faraday's Law of Induction

    Faraday's law of induction states that the magnitude of the induced EMF is equal to the magnitude of the rate of change of the magnetic flux linked with the circuit.

  14. Q14. Lenz's law is fundamentally based on the principle that the change in magnetic flux induces an EMF that creates a current opposing the change in flux. This opposition is a manifestation of which physical principle?

    • AConservation of Energy
    • BLorentz Force Law
    • CMagnetic Monopoles exist
    • DConservation of Momentum
    Show answer & explanation

    Correct answer: A — Conservation of Energy

    Lenz's law ensures the conservation of energy. The induced EMF generates a current that creates a back (opposing) magnetic field. This opposition ensures that the magnetic field lines are conserved, and the process is adiabatic, consistent with the conservation of energy and the principle that energy cannot be created or destroyed.

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