Question

An astronomer 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 = 12.8°, θ₁ = 13.9°, θ₁ = 15.2°

(a)

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

at θ₁ = 12.8°

λ_A

= nmat θ₁ = 13.9°

λ_B

= nmat θ₁ = 15.2°

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

Solution