JEE Main 2021PhysicsDual Nature of MatterMediumNumerical

JEE Main 2021Dual Nature of Matter Question with Solution

JEE Main 2021 (26 Feb Shift 2)

Question

Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted in the two respective cases is x:3 The value of x is

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Correct answer
1

Step-by-step explanation

KEmax=hν-ϕ

12mv2=hν-ϕ

v=2hν-ϕm

Given hν1=2ϕ

hν2=10ϕ

 v1v2=hν1-ϕhν2-ϕ

v1v2=2ϕ-ϕ10ϕ-ϕ=13

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About this question

This is a previous-year question from JEE Main 2021, 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.