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Two coherent monochromatic light beams o...

Two coherent monochromatic light beams of intensities I and 4 I are superposed. The maximum and minimum possible intensities in the resulting beam are

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Here, `I_(1) = I and I_(2) = 4 I`
As source are coherent,
`:. I = I_(1) + I_(2) + 2sqrt(I_(1)I_(2)) cos phi`
When `phi = 0`, intensity is maximum
`:. I_(max) = I + 4 I + 2 sqrt(I xx 4 I) = 9 I`
When `phi = pi`, intensity is minimum
`:. I_(min) = I + 4 I + 2sqrt(I xx 4I) cos pi`
`= 5 I - 4 I = I`
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