Question

A physicist is calibrating a spectrometer that uses a diffraction grating to separate light in order of increasing wavelength

(λ_A, λ_B, and λ_C). She observes three distinct first-order spectral lines at the following respective angles θ_m(where m denotes order). θ₁ = 13.0°, θ₁ = 14.2°, θ₁ = 14.9°

(a)

If the grating has 3,680 grooves per centimeter, what wavelength (in nm) describes each of these spectral lines?

at θ₁ = 13.0° λ_A= nm
at θ₁ = 14.2° λ_B = nm
at θ₁ = 14.9° λ_C = nm

(b)

At what angle (in degrees) would each of these lines be found in the second-order spectrum?
for λ_A θ₂ = °
for λ_B θ₂ = °
for λ_C θ₂ = °

Answer 1