Two point sources S_1 and S_2 separated by a | vedclass

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(C) The distance between the sources is $d = 10 \mu m$ and the wavelength is $\lambda = 4 \mu m$.For points $B$ and $D$ on the perpendicular bisector

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Points $A$ and $C$ are dark and points $B$ and $D$ are bright

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(C) The distance between the sources is $d = 10 \mu m$ and the wavelength is $\lambda = 4 \mu m$.For points $B$ and $D$ on the perpendicular bisector of the line joining $S_1$ and $S_2$,the path difference $\Delta p = S_1P - S_2P = 0$. Since the sources are in phase,a path difference of zero results in constructive interference,so points $B$ and $D$ are bright.For points $A$ and $C$ on the line joining the sources,the path difference is equal to the separation between the sources,$\Delta p = d = 10 \mu m$.The condition for destructive interference is $\Delta p = (n + 1/2)\lambda$.Substituting the values: $10 = (n + 0.5) 	imes 4 \Rightarrow 2.5 = n + 0.5 \Rightarrow n = 2$.Since $n$ is an integer,this corresponds to destructive interference,so points $A$ and $C$ are dark.

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