JEE Main 2025 — Wave Optics Question with Solution

In a Young's double slit experiment, two slits are located 1.5 mm apart. The distance of screen from slits is 2 m and the wavelength of the source is 400 nm . If the 20 maxima of the double slit pattern are contained within the central maximum of the single slit diffraction pattern, then the width of each slit is $x\times 10^{-3}\mathrm{cm}$, where $x$-value is _________ .