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Need for Intensity

The ratio of ...

Question

The ratio of the amplitude of two waves is 3:4. What is the ratio of their intensities?

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Solution

We know that intensity is proportional to square of the amplitude.
$\frac{I_{1}}{I_{2}} = {\frac{A_{1}}{A_{2}}}^{2} = {\frac{3}{4}}^{2} = \frac{9}{16}$

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