(Solved): A ray of light of vacuum wavelength \( 550 \mathrm{~nm} \) traveling in air enters a slab of transp ...

A ray of light of vacuum wavelength \( 550 \mathrm{~nm} \) traveling in air enters a slab of transparent material. The incoming ray makes an angle of \( 38.9^{\circ} \) with the normal, and the refracted ray makes an angle of \( 19.1^{\circ} \) with the normal. Find the index of refraction of the transparent material. (Assume that the index of refraction of air for light of wavelength 550 \( \mathrm{nm} \) is \( 1.00 \).)