Two periodic waves of intensities I 1 and I 2 pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is
Text Solution
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Resultant intensity of two periodic waves is given by
I = I 1 + I 2 + 2 
cos δ
where δ is the phase difference between the waves.
For maximum intensity, δ = 2n π , n = 0, 1, 2, .........etc.
Therefore, for zero order maxima, cos δ = 1
I max = I 1 + I 2 + 2 
= 
For minimum intensity, δ = (2n – 1) π ,
n = 1, 2,......etc
Therefore, for Ist order minima, cos δ = – 1
I min = I 1 + I 2 
= 
Therefore,
I max + I min = 
= 2 ( Ι 1 + Ι 2 )
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