MCQMediumJEE Main 2025 · 2 April, Shift 1Force on Moving Charge

Physics Question from JEE Main 2025 · 2 April, Shift 1

A monochromatic light is incident on a metallic plate having work function ϕ\phi. An electron, emitted normally to the plate from a point A with maximum kinetic energy, enters a constant magnetic field, perpendicular to the initial velocity of the electron. The electron passes through a curve and hits back the plate at a point B. The distance between A and B is:

(Given: the magnitude of the charge of an electron is ee and its mass is mm, hh is Planck's constant and cc is the velocity of light. Take the magnetic field to exist throughout the path of the electron.)

  • A

    2m(hcλϕ)eB\frac{\sqrt{2m \left( \frac{hc}{\lambda} - \phi \right)}}{eB}

  • B

    m(hcλϕ)eB\frac{\sqrt{m \left( \frac{hc}{\lambda} - \phi \right)}}{eB}

  • C

    8m(hcλϕ)eB\frac{\sqrt{8m \left( \frac{hc}{\lambda} - \phi \right)}}{eB}

  • D

    2m(hcλϕ)eB\frac{2\sqrt{m \left( \frac{hc}{\lambda} - \phi \right)}}{eB}

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