Diamond is known for being a particularly brilliant stone. The reason behind this is its peculiarly high index of refraction, n = 2.4. A ray of light within a diamond hits the diamond-air (n = 1) interface. Calculate the critical angle for diamond such that the ray be totally internally reflected. Critical angle for diamond-air interface = 0 Once you have determined this, compare the critical angle to the one in the figure below, which is for a glass-air interface? Knowing that glass has a smaller refractive index than diamond, which material will have a larger critical angle. n2=1 n1 =1.5 39° 90° 41.8° 45° 45° Difference between the cirtical angles between the diamond-air and glass-air interface is (report the absolute value of the difference) 0 What is the significance of this comparison with regards to the brilliance of diamond?

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Diamond is known for being a particularly brilliant stone. The reason behind this is its peculiarly high
index of refraction, n = 2.4. A ray of light within a diamond hits the diamond-air (n = 1) interface.
Calculate the critical angle for diamond such that the ray be totally internally reflected.
Critical angle for diamond-air interface =
0
Once you have determined this, compare the critical angle to the one in the figure below, which is for
a glass-air interface? Knowing that glass has a smaller refractive index than diamond, which material
will have a larger critical angle.
n2=1
n1
=1.5
39°
90°
41.8°
45° 45°
Difference between the cirtical angles between the diamond-air and glass-air interface is
(report the absolute value of the difference)
0
What is the significance of this comparison with regards to the brilliance of diamond?
Transcribed Image Text:Diamond is known for being a particularly brilliant stone. The reason behind this is its peculiarly high index of refraction, n = 2.4. A ray of light within a diamond hits the diamond-air (n = 1) interface. Calculate the critical angle for diamond such that the ray be totally internally reflected. Critical angle for diamond-air interface = 0 Once you have determined this, compare the critical angle to the one in the figure below, which is for a glass-air interface? Knowing that glass has a smaller refractive index than diamond, which material will have a larger critical angle. n2=1 n1 =1.5 39° 90° 41.8° 45° 45° Difference between the cirtical angles between the diamond-air and glass-air interface is (report the absolute value of the difference) 0 What is the significance of this comparison with regards to the brilliance of diamond?
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