The ratio of intensities of minima to maxima in Young's double slit experiment is `9 : 25`. Find the ratio of width of two slits.

Explanation

To solve the problem of finding the ratio of the widths of two slits in Young's double slit experiment given the ratio of intensities of minima to maxima as \(9:25\), we can follow these steps:

### Step 1: Understand the relationship between intensity and slit widths
In Young's double slit experiment, the intensity of the maxima \(I_{\text{max}}\) and minima \(I_{\text{min}}\) can be expressed in terms of the widths of the slits \(W_1\) and \(W_2\). The ratio of the intensities can be given by:

\[ \frac{I_{\text{min}}}{I_{\text{max}}} = \left(\frac{W_1 - W_2}{W_1 + W_2}\right)^2 \]
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