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Question: Answered & Verified by Expert
A photoelectric material having work-function ϕ0 is illuminated with a light of wavelength λ λ<hcϕ0. The fastest photoelectron has a de Broglie wavelength λd. A change in wavelength of the incident light by Δλ results in a change Δλd in λd. The ratio ΔλdΔλ is proportional to
PhysicsDual Nature of MatterNEET
Options:
  • A λd3λ2
  • B λd3λ
  • C λd2λ2
  • D λdλ
Solution:
1253 Upvotes Verified Answer
The correct answer is: λd3λ2

According to the equation of photoelectric effect,

KEmax=hcλ- ϕ0

p22m=hcλ-ϕ0

hλd22m=hcλ-ϕ0

Assuming small changes, differentiating both sides,

h22m-2dλdλd3= -hcλ2 dλ

dλddλ λd3λ2

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