Question

Coherent light with wavelength 599 nm passes through two very narrow slits with separation of 20 μm, and the interference pattern is observed on a screen located at a distance of 3.0 m from the slits. Where will the second order dark fringe above the center of central bright fringe will form?

Answer 1

134.77 mm

Step-by-step explanation:

Wave length of light λ = 599 x 10⁻⁹ m

Slit separation d = 20 x 10⁻⁶ m

Screen distance D = 3 m

Distance of second dark fringe from centre

= 1.5 x λ D / d

Putting the values given above

distance =
`(1.5*599*10^(-9)* 3)/(20*10^(-6))`

= 134.77 x 10⁻³ m

= 134.77 mm.