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PhysicsHardMulti concept2021 · 27 Jul Shift 2

Q18.An electron and proton are separated by a large distance. The electron starts approaching the proton with energy 3 eV . The proton captures the electrons and forms a hydrogen atom in second excited state. The resulting photon is incident on a photosensitive metal of threshold wavelength 4000A What is the maximum kinetic energy of the emitted photoelectron? JEE Main 2021 (27 Jul Shift 2) JEE Main Previous Year Paper (1) 7. 61 eV (2) 1. 41 eV (3) 3. 3 eV (4) No photoelectron would be emitted

What This Question Tests

This complex problem combines concepts from atomic structure (hydrogen energy levels, photon emission) with the photoelectric effect, requiring calculations of photon energy and maximum kinetic energy of photoelectrons.

Concepts Tested

Energy levels of Hydrogen atomPhoton energyPhotoelectric equationWork function

Formulas Used

E_n = -13.6/n² eV

E_photon = E_initial - E_final

K.E._max = E_photon - φ

φ = hc/λ_threshold

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