Wave Optics

A beam of light consisting of two wavelengths \(7000~\mathop A\limits^o\) and \(5500~\mathop A\limits^o\) 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 __________.