JEE Main 2022PhysicsWave OpticsEasyMCQ

JEE Main 2022 — Wave Optics Question with Solution

JEE Main 2022 (27 Jul Shift 2)

Question

Two coherent sources of light interfere. The intensity ratio of two sources is 1:4. For this interference pattern if the value of Imax+IminImax-Imin is equal to 2α+1β+3, then αβ will be

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Show full solutionCorrect option: B
Correct answer
B2

Step-by-step explanation

Given here, I1I2=14 or I2=4I1

Maximum intensity is Imax=I1+I22=I1+4I1+2I14I1=9I1

Minimum intensity is Imin=I1-I22=I1+4I1-2I14I1=I1

The ratio of Imax+IminImax-Imin is 

 9I1+I19I1-I1=108=54=2α+1β+3

α=2  β=1

∴αβ=21=2

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About this question

This is a previous-year question from JEE Main 2022, covering the Wave Optics 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.