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PhysicsModern PhysicsDe Broglie & Matter WavesHard2 minPYQ_2017
PhysicsHardsingle choice

A photoelectric material having work-functionϕ0is illuminated with a light of wavelengthλ λ<hcϕ0. The fastest photoelectron has a de Broglie wavelengthλd. A change in wavelength of the incident light byΔλresults in a changeΔλdinλd. The ratioΔλdΔλis proportional to

Options:

Answer:
A
Solution:

According to the equation of photoelectric effect,

KEmax=hcλ- ϕ0

Kinetic energy in terms of momentum is given as KE=p22m

p22m=hcλ-ϕ0

hλd22m=hcλ-ϕ0

Assuming small changes, differentiating both sides,

h22m-2dλdλd3= -hcλ2 dλ

dλddλ λd3λ2

Stream:JEE_ADVSubject:PhysicsTopic:Modern PhysicsSubtopic:De Broglie & Matter Waves
2mℹ️ Source: PYQ_2017

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