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Phase Difference

If two waves,...

Question

If two waves, each of intensity I having the same frequency but differing by a constant phase angle of $60$ superpose at a certain point in space , then the intesity of resultant wave is:

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Solution

$I = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2}} c o s ϕ$ --------- (1)
Here, $I_{1} = I_{2} = I$ and $c o s 60^{o} = \frac{1}{2}$
in (1), Resultant intensity, I= $I + I + (2 I \times \frac{1}{2})$
= $3 I$

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