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Question
How will the interference pattern in Young's double-slit experiment be affected if the phase difference between the light waves emanating from the two slits S1 and S2 changes from 0 to π and remains constant?
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Solution
Fringe width = β = `"Dλ"/"d"`
If the phase difference becomes π, then the central fringe will be a dark fringe, since
I = `4"I"_0 cos^2 θ/2`
= `4"I"_0 cos^2 π/2`
= 0
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