What is the highest spectral order illuminated with 633-nm laser light?

Makenna Booker 2022-07-17 Answered
What is the highest spectral order that can be seen if a grating with 6500 slits per cm is illuminated with 633-nm laser light? Assume normal incidence.
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Answers (1)

Aryan Novak
Answered 2022-07-18 Author has 6 answers
Given values:
Number of slits per centimeter, N = 6500  slits/cm
Wavelength, λ = 633  nm
Angle of diffraction, θ = 90
The phenomenon of bending of the light waves around the cornerns of obstacle is called diffraction.
The condition for diffraction maximum is given by,
n λ = d sin θ
Where,
n= Order of diffraction
λ = Wavelength of light
d= Separation between the slits
θ = Angle of diffraction
The number of slits per centimeter is equal to the separation between the slits.
Number of slits per cm, N = 1 d
Substituting equation
n λ = sin θ N n = sin θ λ N
Substituting number of slits per centimeter, wavelength and angle of diffraction in equation
n = sin 90 6500 × 10 2  slits/m × 633 × 10 9  m = 2.43 2
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