Physics Question from JEE Main 2025 · 4 April, Shift 2

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