Question

In a two-slit experiment, monochromatic coherent light of wavelength 500 nm passes through a pair of slits separated by 1.30 x 10^-5 m. At what angle away from the centerline does the first bright fringe occur? O 1.56° O 2.20° O 3.85° O 2.73° O 4.40°

Answer 1

2.20°

Step-by-step explanation:

λ = wavelength of the coherent light = 500 x 10⁻⁹ m

d = slits separation = 1.30 x 10⁻⁵ m

n = order of the fringe = 1

θ = angle made by the first bright fringe with the center line = ?

For first bright fringe, Using the equation

d Sinθ = n λ

(1.30 x 10⁻⁵) Sinθ = (1) (500 x 10⁻⁹)

`Sin\theta =(500* 10^(-9))/(1.30* 10^(-5))`

Sinθ = 0.0385

θ = 2.20°