JEE Main 2023 — Wave Optics Question with Solution

A beam of light consisting of two wavelengths $7000 \stackrel{\mathrm{o}}{\mathrm{A}}$ and $5500 \stackrel{\mathrm{o}}{\mathrm{A}}$ is used to obtain interference pattern in Young's double slit experiment. The distance between the slits is $2.5 \mathrm{mm}$ and the distance between the plane of slits and the screen is $150 \mathrm{cm}$. The least distance from the central fringe, where the bright fringes due to both the wavelengths coincide, is $n\times {10}^{–5} \mathrm{m}$. The value of $n$ is _____.