Light consisting of two nearly equal wavelengths + and , where < < ,

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Light consisting of two nearly equal wavelengths λ + Δλ and λ, where Δλ << λ, is incident on a diffraction grating. The slit separation of the grating is d.

a. Show that the angular separation of these two wavelengths in the mth order is

Δλ Vidlm – X /m)*

b. Sodium atoms emit light at 589.0 nm and 589.6 nm. What are the first-order and second-order angular separations (in degrees) of these two wavelengths for a 600 line/mm grating?

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