A beam of light consisting of wavelengths 650 nm and 550 nm illuminates the Young's double slits with separation of 2 mm such that the interference…

A beam of light consisting of wavelengths $\displaystyle 650$ nm and $\displaystyle 550$ nm illuminates the Young's double slits with separation of $\displaystyle 2$ mm such that the interference fringes are formed on a screen, placed at a distance of $\displaystyle 1.2$ m from the slits. The least distance of a point from the central maximum, where the bright fringes due to both the wavelengths coincide, is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{-5} \mathrm{~m}$.