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What is the approximate wavelength of a light whose first-order bright band forms a diffraction angle of 45. 0° when it passes through a diffraction grating that has 500. 0 lines per mm?.

Respuesta :

ashish4112119

Answer:

1414.21 nm

Explanation:

diffraction grating equation is

d sin θ = nλ

were looking for λ

d is the distance between the slits = 1/500 mm = .002 mm = 2000 nm

θ is diffraction angle = 45

λ is the wavelength of the light (what were looking for)

n is the order of diffraction = "first-order bright band" = 1

λ = wavelength

θ = 45°

Plug in

2000sin(45°) = (1)λ

=> λ = 1414.21 nm

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