Light traveling in diamond is incident on a 3 cm thick piece of sapphire. It enters the sapphire at an angle of 50 degrees as shown. When it reaches a third material, it undergoes total internal reflection. a)What is the incident angle θ1 of the light in the diamond? b)How long did it take the light to travel in the sapphire and reenter the diamond? c)Which of the materials in the table listed above could be the mystery third material? (note, there may be none, one, or several of the materials). d)If the light frequency is 1.50(10)15 Hz when it is in the diamond, what is its frequency in the sapphire?

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Light traveling in diamond is incident on a 3 cm thick piece of sapphire. It enters the sapphire at an angle of 50 degrees as shown. When it reaches a third material, it undergoes total internal reflection.

a)What is the incident angle θ1 of the light in the diamond?

b)How long did it take the light to travel in the sapphire and reenter the diamond?

c)Which of the materials in the table listed above could be the mystery third material? (note, there may be none, one, or several of the materials).

d)If the light frequency is 1.50(10)15 Hz when it is in the diamond, what is its frequency in the sapphire?

Material
Index of
refraction
Diamond
Ice
1.31
Fluorite
1.43
Sapphire
50
3 cm
Saphire
1.77
?
Diamond
2.42
X
Titanium
2.90
Dioxide
Transcribed Image Text:Material Index of refraction Diamond Ice 1.31 Fluorite 1.43 Sapphire 50 3 cm Saphire 1.77 ? Diamond 2.42 X Titanium 2.90 Dioxide
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