Question
If intensity of each wave in the observed interference pattern in Young's double slit experiment is $I_0$. then for some point $P$ where the phase difference is $\phi $ , intensity $I$ will be

Answer

$\mathrm{I}=\mathrm{I}_{1}+\mathrm{I}_{2}+2 \sqrt{1_{1} \mathrm{I}_{2}} \cos \phi$

$\mathrm{I}_{\mathrm{R}}=\mathrm{I}_{0}+\mathrm{I}_{0}+2 \sqrt{I_{0} I_{0}} \cos \phi$

$\boxed{{{\text{I}}_{\text{R}}} = 2{{\text{I}}_0}(1 + \cos \phi )}$

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