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Three harmonic waves having equal frequency v and same intensity I₀, have phase angles 0, $\frac{\pi}{4}$ and $-\frac{\pi}{4}$ , respectively. When they are superimposed the intensity of the resultant wave is close to:
Option: 1 0.2I₀
Option: 2 I₀
Option: 3 3I₀
Option: 4 5.8I₀

Answers (1)

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$A_{res} = A + \frac{A}{\sqrt2} + \frac{A}{\sqrt2} = A(1 + \sqrt2)$

$I = (1 + \sqrt2)^2I_0 = 5.8I_0$

Hence the correct option is (4).

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