A beam of light consisting of two wavelengths 7000~ A^(o) and 5500~ A^(o) is used to obtain interference pattern in Young's double slit experiment. The distance between the slits is 2.5 ~mm and the distance between the plane of slits and the screen is 150 ~cm. The least distance from the central fringe, where the bright fringes due to both the wavelengths coincide, is n × 10⁻⁵ ~m. The value of n is _ _ _ _ _.

Optics: JEE Main 2023 Physics question

JEE Main 2023 · 6 Apr, Evening shift · Q75

JEE Main 20236 Apr, Evening shiftPhysicsHardOptics190× since 2002

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 __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Optics Question with Answer (6 Apr Evening shift, Q75) | JEE Arc