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Questions  

A Photoelectric material having work-function ϕ0 is illuminated with light of wavelength λλ<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. Then the ratio Δλd/Δλ is proportional to

a
λd2/λ2
b
λd/λ
c
λd3/λ
d
λd3/λ2

detailed solution

Correct option is D

hcλ−ϕ=Kmax=12mhλd2 ∵Kmax=P22m After differentiating, ⇒hcλ2Δλ=h22m2λd3Δλd⇒ΔλdΔλ=(mc)hλd3λ2⇒ΔλdΔλ∝λd3λ2

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Similar Questions

The graph between 1λand stopping potential (V) of three metals having work functions ϕ1,ϕ2 and ϕ3 in an experiment of photo-electric effect is plotted as shown in the figure. Which of the following statement(s) is/are correct? [Here λ is the wavelength of the incident ray].


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