wavelength of a light whose second-order dark band forms a diffraction angle of 15.0° when it passes through a diffraction grating that has 250.0 lines per mm

Question

Kassidy Dougherty

Physics

16 June, 13:19

wavelength of a light whose second-order dark band forms a diffraction angle of 15.0° when it passes through a diffraction grating that has 250.0 lines per mm

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Teagan Cardenas · Answer 1

The formula needed to solve this is (assuming there is only 1 slit, n = 1)

λ = d sin θ

where d is the diffraction grating

θ is the diffraction angle

Substituting the values,

λ = 250 sin 15

λ = 64.70 mm