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NEET UG PHYSICS MCQ: DUAL NATURE OF RADIATION AND MATTER

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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 B. The distance between A and B is:

(Given: The magnitude of charge of an electron is 'e' and mass is 'm', 'h' is Planck's constant and 'c' is velocity of light. Take the magnetic field exists throughout the path of electron)
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Correct option: C
8m(hcλ−ϕ)/eB\sqrt{8 \mathrm{m}\left(\frac{\mathrm{hc}}{\lambda}-\phi\right)} / \mathrm{eB}
Option C (8m(hcλ−ϕ)/eB\sqrt{8 \mathrm{m}(\frac{\mathrm{hc}}{\lambda}-\phi)} / \mathrm{eB}) is correct because it represents the diameter of the circular path the electron takes in the magnetic field, derived from the kinetic energy and magnetic force equations.

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