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Physics
Wave Optics
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$ \text{Intensity is propotional to slit width}$
$ I_1 : I_2 = 1:9 $
$\frac{I_{max}}{I_{min}} = \frac{(\sqrt I_1 - \sqrt I_2)^2}{(\sqrt I_1 + \sqrt I_2)^2} = \frac{(3 - 1)^2}{(3 + 1)^2} = \frac{1}{4}$