Physics

Problem

A beam of light consisting of two wavelengths

7000 \text{ \AA}

and

5500 \text{ \AA}

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 _____. [April 6, 2023 (II)]