Light that is initially travelling in a layer of diamond is incident on a layer of sapphire as shown in Figure 5. The sapphire layer has thickness T = 3 cm. The angle inside the sapphire is 6, = 50°. When the light reaches a third layer, it experiences total internal reflection. The material of the third layer is unknown. Figure 5 also shows a table with indices of refraction for various materials. Index of Material Diamond Refraction Ice 1.31 Fluorite 1.43 T- 02 Sapphire Sapphire 1.77 ? Diamond 2.42 Titanium 2.90 Dioxide Figure 5 14. What is the incident angle 6, inside the diamond? a) 0, 24° b) 8, = 34° c) 8, x 44° d) 0, x 54° e) e, x 64° 15. What is the horizontal distance x travelled inside the sapphire? а) х~ 6.4 ст b) x = 7.2 cm c) x x 8.6 cm d) x x 9.3 cm e) x * 12.1 cm 16. Which of the following could be the material of the third layer? a) Ice only b) Fluorite only c) Either ice or fluorite d) Titanium dioxide only e) None of the above

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Light that is initially travelling in a layer of diamond is incident on a layer of sapphire as shown in
Figure 5. The sapphire layer has thickness T = 3 cm. The angle inside the sapphire is 6, = 50°.
When the light reaches a third layer, it experiences total internal reflection. The material of the
third layer is unknown. Figure 5 also shows a table with indices of refraction for various materials.
Index of
Diamond
Material
Refraction
Ice
1.31
Fluorite
1.43
Sapphire
Sapphire
1.77
?
Diamond
2.42
Titanium
2.90
Dioxide
Figure 5
14. What is the incident angle 8, inside the diamond?
a) 8, x 24°
b) e, x 34°
c) 8, x 44°
d) e, x 54°
e) 8, x 64°
15. What is the horizontal distance x travelled inside the sapphire?
a) x x 6.4 cm
b) x x 7.2 cm
c) x x 8.6 cm
d) x x 9.3 cm
e) x x 12.1 cm
16. Which of the following could be the material of the third layer?
a) Ice only
b) Fluorite only
c) Either ice or fluorite
d) Titanium dioxide only
e) None of the above
Transcribed Image Text:Light that is initially travelling in a layer of diamond is incident on a layer of sapphire as shown in Figure 5. The sapphire layer has thickness T = 3 cm. The angle inside the sapphire is 6, = 50°. When the light reaches a third layer, it experiences total internal reflection. The material of the third layer is unknown. Figure 5 also shows a table with indices of refraction for various materials. Index of Diamond Material Refraction Ice 1.31 Fluorite 1.43 Sapphire Sapphire 1.77 ? Diamond 2.42 Titanium 2.90 Dioxide Figure 5 14. What is the incident angle 8, inside the diamond? a) 8, x 24° b) e, x 34° c) 8, x 44° d) e, x 54° e) 8, x 64° 15. What is the horizontal distance x travelled inside the sapphire? a) x x 6.4 cm b) x x 7.2 cm c) x x 8.6 cm d) x x 9.3 cm e) x x 12.1 cm 16. Which of the following could be the material of the third layer? a) Ice only b) Fluorite only c) Either ice or fluorite d) Titanium dioxide only e) None of the above
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