A beam of light consisting of two wavelengths \( 7000 \, \mathring{A}\) and \( 5500 \,\mathring{A}\) is used to obtain interference pattern in Young’s double slit experiment. The distance between the slits is \( 2.5 \, \text{mm} \) and the distance between the plane of slits and the screen is \( 150 \, \text{cm} \). The least distance from the central fringe, where the bright fringes due to both the wavelengths coincide, is \( n \times 10^{-5} \, \text{m} \). The value of \( n \) is _______.
