double$-$slit interference is produced by plane parallel light of wavelength $2$ passing through two slits ofunequal widths, say wi $=20\%$ and w$2=402,$ their centers being $10002$ apart. If the observation is made on ascreen very far away from the slits, i$.$e$.,$ at a distance L $10002,$ determine the following:$($a$)$ Separation ox between adjacent maxima. $(5)($b$)$ Widths of the central maxima of the diffraction patterns of the two slits individually.