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Waves of same amplitude and same frequency from two coherent sources overlap at a point. The ratio of the resultant intensity when they arrive in phase to that when they arrive with 90degrees phase difference is?

Waves of same amplitude and same frequency from two coherent sources overlap at a point. The ratio of the resultant intensity when they arrive in phase to that when they arrive with 90degrees phase difference is?

Grade:12

1 Answers

Eshan
askIITians Faculty 2095 Points
3 years ago
Let the intensity of each wave beI.

Total intensity when two waves interfere with some phase angle\phiis

I_{net}=I_1+I_2+2\sqrt{I_1}\sqrt{I_2}cos\phi
Hence ratio of intensities in the two cases=

\dfrac{I+I+2Icos0^{\circ}}{I+I+2Icos90^{\circ}}
=\dfrac{4I}{2I}=2

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