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  • Two coherent monochromatic beams of intensities 4I and I are superimposed. The maximum and minimum intensities in the resulting pattern are  Optio

Two coherent monochromatic beams of intensities 4I and I are superimposed. The maximum and minimum intensities in the resulting pattern are

 

Option: 1

5I,3I


Option: 2

9I,3I


Option: 3

4I,I


Option: 4

9I,I


Answers (1)

best_answer

We know that,

maximum intensity,I_{\text {max }}=\left(\sqrt{I_1}+\sqrt{I_2}\right)^2

minimum intensity, I_{\min }=\left(\sqrt{I_1}-\sqrt{I_2}\right)^2

So, the ratio of maximum and minimum intesnsity,

\frac{I_{\text {max }}}{I_{\text {min }}}=\frac{\sqrt{\left(I_1+\sqrt{I_2}\right)^2}}{\left(\sqrt{I_1}-\sqrt{I_2}\right)^2}

=\frac{(\sqrt{4 I}+\sqrt{I})^2}{(\sqrt{4 I}-\sqrt{I})^2}

=\frac{9I}{I}

 

Posted by

chirag

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