JEE Main 2022PhysicsDual Nature of MatterHardMCQ

JEE Main 2022 — Dual Nature of Matter Question with Solution

JEE Main 2022 (27 Jul Shift 1)

Question

An electron (mass m) with an initial velocity v→=v0i^v0>0 is moving in an electric field E→=-E0i^E0>0 where E0 is constant. If at t=0, de-Broglie wavelength is λ0=hmv0, then its de-Broglie wavelength after time t is given by

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Show full solutionCorrect option: D
Correct answer
Dλ01+eE0tmv0

Step-by-step explanation

Initial de-Broglie wavelength of electron,

λ0=hmv0 ....(i)

Force on electron in electric field,

F=-eE=-e-E0i^=eE0i^

Acceleration of electron, a=Fm=eE0i^m
Velocity of electron after time t,

v=v0i^+eE0i^mt=v0+eE0mti^=v01+eE0mv0ti^

de-Broglie wavelength associated with electron at time t is

λ=hmv

⇒λ=hmv01+eE0mv0t=λ01+eE0mv0t

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About this question

This is a previous-year question from JEE Main 2022, covering the Dual Nature of Matter chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.