Physics Question from JEE Main 2026 · 28 January, Shift 2

A beam of light consisting of wavelengths $650\,nm$ and $550\,nm$ illuminates Young’s double slits with separation $d=2\,mm$ such that the interference fringes are formed on a screen placed at a distance $D=1.2\,m$ from the slits. The least distance from the central maximum, where the bright fringes due to both wavelengths coincide, is _____ $\times10^{-5}\,m$.

Given:

$$\lambda_1=650\,nm,\quad \lambda_2=550\,nm,\quad d=2\times10^{-3}\,m,\quad D=1.2\,m$$