Question
The intensity maxima due to two interfering waves of equal amplitude $a_1=a_2=a$ is $4 a^2$. Does this violate the law of conservation of energy? Justify.

Answer

No, The average intensity of maxima and minima will be, $\text{I}_{\text{av}}=\frac{4\text{a}^2+0}{2}=2\text{a}^2,$ which is the sum of their intensities.
So, energy conservation is obeyed, but redistribution of energy has taken place.

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