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Q.

In the Young's double slit experiment, if the phase difference between the two waves interfering at a point is ϕ, the intensity at that point can be expressed by the expression

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a

I=A2+B2cos2ϕ

b

I=ABcosϕ

c

I=A+Bcosϕ2

d

I=A+Bcosϕ

answer is D.

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Detailed Solution

I=a12+a22+2a1a2cosϕPut a12+a22=A and a1a2=B ∴ I=A+Bcosϕ
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In the Young's double slit experiment, if the phase difference between the two waves interfering at a point is ϕ, the intensity at that point can be expressed by the expression