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  4. If the intensity ratio of two waves is 1: 4, then find the ratio of their amplitudes.

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Q. If the intensity ratio of two waves is $1 : 4$, then find the ratio of their amplitudes.

UP CPMTUP CPMT 2014Wave Optics

Solution:

Intensity, $I \propto\left(A\right)^{2}$
$ \frac{I_{1}}{I_{2}} = \left(\frac{A_{1}}{A_{2}}\right)^{2}$
$\frac{1}{4}= \left(\frac{A_{1}}{A_{2}}\right)^{2} $
$ \Rightarrow \frac{A_{1}}{A_{2}} = \frac{1}{2}$