motion of charge particle in magnetic field questions with solutions

Showing 1–10 of 73 questions

• MCQmediumMagnetic effect of currentmotion of charge particle in magnetic field

  A positive particle starts at the origin with velocity uî+wk̂ in uniform parallel fields B=Bk̂ and E=Ek̂. With ω=qB/m, which z-coordinate is correct at time t?

  Options

  • Option A

    wt+qEt²/(2m)

  • Option B

    wt-qEt²/(2m)

  • Option C

    (w/ω)sinωt

  • Option D

    qEt/m

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• Multi-correctmediumMagnetic effect of currentmotion of charge particle in magnetic field

  An ideal velocity selector uses mutually perpendicular uniform E and B. Which statements are correct for particles that pass undeflected?

  Select all that apply

  • Option A

    The selected speed is E/B.

  • Option B

    The selected speed is independent of mass.

  • Option C

    The selected speed is independent of charge magnitude.

  • Option D

    The required direction of velocity is fixed by E+v×B=0.

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• MCQmediumMagnetic effect of currentmotion of charge particle in magnetic field

  A non-relativistic cyclotron has dee radius R and magnetic field B. What is the maximum kinetic energy of a particle of mass m and charge magnitude |q|?

  Options

  • Option A

    q²B²R²/(2m)

  • Option B

    qBR/(2m)

  • Option C

    q²BR²/(2m)

  • Option D

    mB²R²/(2q²)

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• Multi-correctmediumMagnetic effect of currentmotion of charge particle in magnetic field

  Two particles move perpendicular to the same uniform magnetic field with equal speeds and equal radii. Which statements are necessarily correct?

  Select all that apply

  • Option A

    Their |q|/m ratios are equal.

  • Option B

    Their cyclotron-frequency magnitudes are equal.

  • Option C

    Their charges must have the same sign.

  • Option D

    They may curve in opposite senses.

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• MCQmediumMagnetic effect of currentmotion of charge particle in magnetic field

  An electron moves along +x in a uniform magnetic field along -z.
  A. Magnetic force is along +y.
  B. Magnetic force is along -y.
  C. It experiences no magnetic force.
  D. It continues along +x. E. It moves along a circular path. Choose the correct answer.

  Options

  • Option A

    B and E only

  • Option B

    A and E only

  • Option C

    B and D only

  • Option D

    C and D only

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• MCQmediumMagnetic effect of currentmotion of charge particle in magnetic field

  Two uniform magnetic fields B₁ and B₂, both perpendicular to the plane of the paper, occupy adjacent regions separated by a straight interface as shown in the original figure. A particle of mass m and charge q starts at the interface with speed v, enters region 2, returns to the interface, then moves through region 1 and reaches the interface again. Given B₂ > B₁, the displacement along the interface is:

  

  Options

  • Option A

    (2mv/qB₁)(1-B₂/B₁)

  • Option B

    (mv/qB₁)(1-B₁/B₂)

  • Option C

    (mv/qB₁)(1-B₂/B₁)

  • Option D

    (2mv/qB₁)(1-B₁/B₂)

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  JEE Mains 2025 7 April Morning Shift

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• Multi-correctmediumMagnetic effect of currentmotion of charge particle in magnetic field

  A charged particle moves perpendicular to a uniform magnetic field. Which statements are correct?

  Select all that apply

  • Option A

    Its speed remains constant.

  • Option B

    Its kinetic energy remains constant.

  • Option C

    The magnetic force does no work.

  • Option D

    The direction of its momentum changes continuously.

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• MCQmediumMagnetic effect of currentmotion of charge particle in magnetic field

  A positive particle initially has parallel velocity component v∥ along +B. A uniform electric field E is applied antiparallel to B. At what time does the helical pitch momentarily become zero?

  Options

  • Option A

    mv∥/(qE)

  • Option B

    qE/(mv∥)

  • Option C

    2mv∥/(qE)

  • Option D

    mE/(qv∥)

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• NumericmediumMagnetic effect of currentmotion of charge particle in magnetic field

  An electron with kinetic energy 5 eV enters a region of uniform magnetic field of 3 μT perpendicular to its direction. An electric field E is applied perpendicular to the direction of velocity and magnetic field. The value of E, so that electron moves along the same path, is_______ N C⁻¹. (Given, mass of electron = 9 × 10⁻³¹ kg, electric charge = 1.6 × 10⁻¹⁹ C)

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  JEE Mains 2024 08 Apr Morning Shift

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• Multi-correctmediumMagnetic effect of currentmotion of charge particle in magnetic field

  In a Bainbridge mass spectrometer, consider ions selected by E and B₁ and analyzed by B₂. Which statements are correct?

  Select all that apply

  • Option A

    At fixed charge state, larger mass gives larger analyzer radius.

  • Option B

    At fixed mass, larger charge magnitude gives smaller radius.

  • Option C

    Increasing E at fixed B₁ increases the selected speed and analyzer radius.

  • Option D

    Increasing B₂ decreases the analyzer radius.

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