A photon and an electron have equal energy E , then the ratio λ photon λ electron is proportional to

λ photon = hc E λ electron = h 2 mE ⇒ λ photon λ electron = c 2 m E λ photon λ electron ∝ 1 E

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Physics - Modern Physics Question with Solution | TestHub

PhysicsModern PhysicsPhotoelectric effectEasy2 minPYQ_2020

PhysicsEasysingle choice

A photon and an electron have equal energy $E$ , then the ratio $\frac{λ_{photon}}{λ_{electron}}$ is proportional to

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Answer:

Solution:

$λ_{photon} = \frac{hc}{E}$

$λ_{electron} = \frac{h}{\sqrt{2 mE}}$

$\Rightarrow \frac{λ_{photon}}{λ_{electron}} = c \sqrt{\frac{2 m}{E}}$

$\frac{λ_{photon}}{λ_{electron}} \propto \frac{1}{\sqrt{E}}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Photoelectric effect

⏱ 2mℹ️ Source: PYQ_2020

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