JEE Main 2023PhysicsWave OpticsHardNumerical

JEE Main 2023 — Wave Optics Question with Solution

JEE Main 2023 (30 Jan Shift 2)

Question

In a Young’s double slit experiment, the intensities at two points, for the path difference λ4 and λ3 (λ being the wavelength of light used) are I1 and I2 respectively. If I0 denotes the intensity produced by each one of the individual slits, then I1+I2I0=______.

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Show full solutionCorrect answer: 3
Correct answer
3

Step-by-step explanation

As we know, resultant intensity is given by,

I=4I0 cos2Δϕ2 and phase difference can be written as ∆ϕ=2πλ∆x.

For first case:

I1=4I0 cos22πλ×λ4=4I0 cos2π4=2I0

For second case:

I2=4I0 cos22πλ×λ3=4I0 cos22π3=I0

Therefore, required value ofI1+I2I0=3.

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About this question

This is a previous-year question from JEE Main 2023, 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.