.1987-5 (Geometric Optics) Light of frequency 6.0 x 10\" Hz strikes a glass/air

Question

.1987-5 (Geometric Optics) Light of frequency 6.0 x 10" Hz strikes a glass/air boundary at an angle of incidence The ray is partially reflected and partially refracted at the boundary, as shown above. The index of refraction of this glass is 1.6 for light of this frequency a. Determine the value of ifa, = 30°. b. Determine the value of 2 if , = 30°. c. Determine the speed of this light in the glass. d. Determine the wavelength of this light in the glass. e. What is the largest value of , that will result in a refracted ray? Air (n = 1.0)

Explanation / Answer

(A) for reflection,

theta1 = theta3

theta3 = 30 deg

(B) for refraction,

ni sin(i) = nr sin(r)

1.6 sin30 = sin(theta2)

theta2 = 53 deg

(C) v = c / n = 1.875 x 10^8 m/s

(d) wavelength = v / f = 312.5 x 10^-9 m  

= 312.5 nm

(e) until, r = 90 deg  

1.6 sin(i_max) = 1 x sin90

i_max = 38.7 deg

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