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Question: Answered & Verified by Expert
Light of wavelength 500 nm is incident on a metal with work function 2.28 eV. The de Broglie wavelength of the emitted electron is:
PhysicsDual Nature of MatterNEETNEET 2015 (Phase 2)
Options:
  • A <2.8×10-9 m
  • B 2.8×10-9 m
  • C 2.8×10-12 m
  • D <2.8×10-10 m
Solution:
2771 Upvotes Verified Answer
The correct answer is: 2.8×10-9 m
KEmax=hcλ-Ψ
KEmax=1240500-2.28
KEmax=2.48-2.28=0.2 eV
λmin=h2mKEmax=203×10-342×9×10-31×0.2×1.6×10-19
λmin=259×10-9=2.80×10-9 m
So, λ2.8×10-9 m.

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