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Transmission of Wave

During interf...

Question

During interference phenomenon of two wave it is observed that maximum amplitude to minimum amplitude ratio is 9 : 7. Find the intensity ratio of waves.

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Solution

$\frac{A_{1}}{A_{2}} = \frac{9}{7}$

$\frac{I_{1}}{I_{2}} = \frac{I_{m a x}}{I_{m i n}}$

$= \frac{(9 + 7)^{2}}{(9 - 7)^{2}}$

$= \frac{16^{2}}{2^{2}} = 64$ .

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