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A Photoelectric material having work-function ϕ0 is illuminated with light of wavelength λ λ<hcϕ0. The fastest photoelectron has a de Broglie wavelength λd . A change in wavelength of the incident light by λ results in a change Δλd in λd. Then the ratio Δλd/Δλ is proportional to λdaλb. The value of a+b is

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detailed solution

Correct option is E

hcλ−ϕ=Kmax=12mhλd2hcλ2Δλ=h22m2λd3ΔλdΔxdΔλ=(mc)hλd3λ2⇒ΔλdΔλαλd3λ2


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