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Doppler Effect in Light Waves

When two ligh...

Question

When two light waves of same intensity interfere, find the resultant intensity of the waves.

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Solution

Given that,

Two light waves of same intensity

Suppose the intensity of two light waves

$I_{1} = I$ and $I_{2} = I$

Now, the resultant intensity is

$I_{r e s} = I_{1} + I_{2} + 2 \sqrt{I_{1} I_{2} cos ϕ}$

$I_{r e s} = I + I + 2 \sqrt{I^{2} cos ϕ}$

$I_{r e s} = 2 I + 2 I \sqrt{cos ϕ}$
Where $ϕ$ = phase difference

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