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Problem 3) Refraction of a light beam [50 points] A light beam of vacuum wavelength 1, =632 nm passes from air to glass and from the glass to zircon (a mineral transparent for visible light). The beam makes an angle of 8, = 20% with the normal line NN' in the glass as shown in the figure. The index of refraction of glass is n. = 1.462 and the index of refraction of zircon is n, = 2. a) Find the angle O in air. b) Find the angle O' in the zircon. c) Find the frequency fz and the wavelength A, of the beam at the point P in the zircon. Hint for parts a) and b): air sin (30) =0.5 sin (14.50) = 0.25 1 0 - 20" glass Zircon N