Question
At a point in an interference pattern, the two interfering coherent waves of equal intensity $I_0$ have phase difference $60^{\circ}$. What will be the resultant intensity at that point?

Answer

$\text { Resultant intensity, } I _0=2 I _0(1+\cos \varphi)$
$=2 I _0\left(1+\cos 60^{\circ}\right)$
$=2 I _0\left(1+\frac{1}{2}\right)$
$=3 I _0 .$

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