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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?

venkat , 7 Years ago

Grade 12

1 Answers

Eshan

Let the intensity of each wave be $I$ .

Total intensity when two waves interfere with some phase angle $\phi$ is

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

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

Last Activity: 7 Years ago

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