Question

5. Consider an incident beam of light that travels in air vertically, as below, and hits a glass prism (with refractive index, 1.50). The hypotenuse is coated with a metal that is highly reflective. Supposing that φ = 60.0◦ , show your work to obtain (i) the angle (relative to the normal) with which the ray exits the right leg of the prism, and (ii) the specific direction in which this ray exits. [20]

5. Consider an incident beam of light that travels in air vertically, as below, and hits a glass prism (with refractive index, 1.50). The hypotenuse is coated with a metal that is highly reflective. Supposing that o = 60.0°, show your work to obtain (i) the angle (relative to the normal) with which the ray exits the right leg of the prism, and (ii) the specific direction in which this ray exits. [20] highly reflective coating

Answer 1

n=1.5 02 087 E 2 P 660d Lyd 300 с (a) angle of incidence, i= 90-30 = 60° using snells lame, h Sin o Sinr Sin i sinra и >> y D Sint (sin) ( sin 60) Sint = 35.26° From figure, 30+x+y=90° -) x = 90-30 = 90-30-35.26 ( From A ABC) = 24.740 y = 90 x -90- 24.74 = 65.26° ao-y 90-05-26 = 24.740 From OBDE, 4 +30 +2 = 180° , Z = 180 - 30-4 = 180 - 30 - 65.26 = 84.74° 90 -84.74 = 5.260 using snells lave , sin i Sinal ü Sina s' = D y sini sint (nx sini) = sint (1.50 & sin 5.26) = 7.90 r . ... Angle relative to normal the ray exits gl. 7.9° Cans) b) Angle P = 90-2' = 90 -7.9 82.1° The specific direction the ray exits, o is given by 0 + P+ 30 = 180° 180 - 30 -P = 180 - 30 82.1° 67.9° (Ans) =