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°

Respuesta :

Answer:

2.20°

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)

[tex]Sin\theta =\frac{500\times 10^{-9}}{1.30\times 10^{-5}}[/tex]

Sinθ = 0.0385

θ = 2.20°