Two waves of intensity ratio 1 : 9 cross each other at a point. The resultant intensities at the point, when (a) Waves are incoherent is I 1 b Waves are coherent is I 2 and differ in phase by 60 o . If I 1 I 2 = 10 x , then x = _________.

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For incoherent wave, I 1 = I A + I B ⇒ I 1 = I 0 + 9 I 0 ⇒ I 1 = 10 I 0 For coherent wave I 2 = I A + I B + 2 I A I B cos 60 o ⇒ I 2 = I 0 + 9 I 0 + 2 9 I 0 2 × 1 2 = 13 I 0 ⇒ I 1 I 2 = 10 13 Therefore, x = 13 .

Two waves of intensity ratio 1 : 9 cross each other at a point. The resultant intensities at the point, when (a) Waves are incoherent is I 1 b Waves are coherent is I 2 and differ in phase by 60 o . If I 1 I 2 = 10 x , then x = _________.

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