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^ .…

Question

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^ . If l_1l_2= 10x then x=______

Accepted Answer

Correct answer: 13. (13) For incoherent wave I_1=I_A+I_B ⇒I_1=I_0+9I_0 I_1=10I_0 For coherent wave I_2=I_A+I_B+2 I_AI_B cos ⁡60^ I_2=I_0+9I_0+2 9I_0^2 12=13I_0 I_1I_2= 1013

$Two waves of intensity ratio 1:9 cross each other at a point. The resultant intensities at the point, when (a) Waves are incoherent is I_{1} (b) Waves are coherent is I_{2} and differ in phase by 60^{\circ} . If \frac{l _{1}}{l _{2}} = \frac{10}{x} then x =______$

Solution

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