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Dual Nature of Radiation question

2025 · 2 Apr · Shift 1 · Q52
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Dual Nature of Radiation question

2025 · 2 Apr · Shift 1 · Q52

JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1
A monochromatic light is incident on a metallic plate having work function ϕ\phiϕ. 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 electron. The electron passes through a curve and hits back the plate at a point BBB. The distance between AAA and BBB is : (Given : The magnitude of charge of an electron is e and mass is m,h\mathrm{m}, \mathrm{h}m,h is Planck's constant and c is velocity of light. Take the magnetic field exists throughout the path of electron)
  1. A
    2m(hcλ−ϕ)/eB\sqrt{2 m\left(\frac{h c}{\lambda}-\phi\right)} / \mathrm{eB}2m(λhc​−ϕ)​/eB
  2. B
    8 m(hcλ−ϕ)/eB\sqrt{8 \mathrm{~m}\left(\frac{\mathrm{hc}}{\lambda}-\phi\right)} / \mathrm{eB}8 m(λhc​−ϕ)​/eB
  3. C
    m(hc/λ−ϕ)/eB\sqrt{\mathrm{m}(\mathrm{hc} / \lambda-\phi)} / \mathrm{eB}m(hc/λ−ϕ)​/eB
  4. D
    2 m(hc/λ−ϕ)/eB2 \sqrt{\mathrm{~m}(\mathrm{hc} / \lambda-\phi)} / \mathrm{eB}2 m(hc/λ−ϕ)​/eB
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