Question
A light beam containing red and violet wavelengths is incident on a slab of quartz at an angle of incidence of $50.0^{\circ} .$ The index of refraction of quartz is 1.455 at 600 $\mathrm{nm}$ ( red light), and its index of refraction is 1.468 at 410 $\mathrm{nm}$ (violet light). Find the dispersion of the slab, which is defined as the difference in the angles of refraction for the two wavelengths.
Step 1
Mathematically, this is expressed as $n_1 \sin(\theta_1) = n_2 \sin(\theta_2)$, where $n_1$ and $n_2$ are the indices of refraction of the two media, and $\theta_1$ and $\theta_2$ are the angles of incidence and refraction, respectively. Show more…
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