Physics · Atomic Physics

JEE Main 2025 — 2 April, Morning Shift — Question 59

A monochromatic light is incident on a metallic plate having work function ϕ\phi. An electron, emitted

normally to the plate from a point AA with maximum kinetic energy, enters a constant magnetic field, perpendicular to the initial velocity of electron. The electron passes through a curve and hits back the

plate at a point BB. The distance between AA and BB is: (Given: The magnitude of charge of an

electron is ee and mass is m,hm, h is Planck's constant and cc is velocity of light. Take the magnetic

field exists throughout the path of electron)

  1. Option A:

    m(hc/λ−ϕ)/eB\sqrt{m(h c / \lambda-\phi)} / e B

  2. Option B:

    8m(hc/λ−ϕ)/eB\sqrt{8 m(h c / \lambda-\phi)} / e B

    Correct
  3. Option C:

    2m(hc/λ−ϕ)/eB2 \sqrt{m(h c / \lambda-\phi)} / e B

  4. Option D:

    2m(hc/λ−ϕ)/eB\sqrt{2 m(h c / \lambda-\phi)} / e B

Answer: B

Step-by-step solution

AB=2RA B=2 R

R=vmBq=2mKBeR=\frac{v m}{B q}=\frac{\sqrt{2 m K}}{B e}

K=(hcλ−ϕ)K=\left(\frac{h c}{\lambda}-\phi\right)

2R=22m(hcλ−ϕ)Be2 R=\frac{2 \sqrt{2 m\left(\frac{h c}{\lambda}-\phi\right)}}{B e}

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2025
Subject
Physics
Chapter
Atomic Physics
Topic
Photoelectric Effect
A monochromatic light is incident on a metallic plate having work… | JEE Main 2025 PYQ with Solution · DhiX AI