Waves from two sources superpose on each other at a particular point, amplitude and frequency of both the waves are equal. The ratio of intensities when both waves reach in the same phase and when they reach with the phase difference of 90∘ will be
A
1:1
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B
√2:1
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C
2:1
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D
4:1
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Solution
The correct option is C2:1 Let I1 be the intensity when both waves of intensity I reach in the same phase and I2 be the intensity when both waves reach with the phase difference of 90∘.
Then, we have I1=I+I+2√I×Icos0∘=4I
and I2=I+I+2√I×Icos90∘=2I ⇒I1:I2=2:1