Consider an interference pattern between two coherent sources. If I 1 and I 2 be intensities at points where the phase difference are π 3 and 2 π 3 respectively, then the intensity at maxima is

Question

Consider an interference pattern between two coherent sources. If I 1 and I 2 be intensities at points where the phase difference are π 3 and 2 π 3 respectively, then the intensity at maxima is, I 2 - 3 I 1 2, I 1 - 3 I 2 2, 3 I 2 + I 1 2, 3 I 1 - I 2 2

MARKS App · Accepted Answer

I 1 = I A + I B + 2 I A I B cos π 3 ...(1) I 2 = I A + I B + 2 I A I B cos 2 π 3 ...(2) ⇒ I 1 + I 2 = 2 I A + I B ...(3) From (1) ⇒ I 1 = I 1 + I 2 2 + I A I B I 1 - I 1 + I 2 2 = I A I B I 1 - I 2 2 = I A I B I max = I A + I B 2 = I A + I B + 2 I A I B ...(4) I max = I 1 + I 2 2 + I 1 - I 2 = 3 I 1 - I 2 2

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