Transmission through thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) Part of the light ends up in material 3 as ray 13 (the light does not reflect inside material 2) and r4 (the light reflects twice inside material 2). The waves of r3 and r4 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n₁, n₂, and n3, the type of interference, and the thinlayer thickness L in nanometers. Give the wavelength that is in the visible range.

University Physics Volume 3
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Chapter4: Diffraction
Section: Chapter Questions
Problem 78P: The first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?
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Transmission through thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker)
materials 1 and 3. (The rays are tilted only for clarity.) Part of the light ends up in material 3 as ray 13 (the light does not reflect inside
material 2) and r4 (the light reflects twice inside material 2). The waves of 13 and 14 interfere, and here we consider the type of
interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n₁, n₂, and n3, the type
of interference, and the thinlayer thickness L in nanometers. Give the wavelength that is in the visible range.
Number
M
n₁
#1
Units
2
n₂
112
n3
1.70 1.45 1.83
118
14
Type L A
max
201
Transcribed Image Text:Transmission through thin layers. In the figure, light is incident perpendicularly on a thin layer of material 2 that lies between (thicker) materials 1 and 3. (The rays are tilted only for clarity.) Part of the light ends up in material 3 as ray 13 (the light does not reflect inside material 2) and r4 (the light reflects twice inside material 2). The waves of 13 and 14 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). The table below provides the indexes of refraction n₁, n₂, and n3, the type of interference, and the thinlayer thickness L in nanometers. Give the wavelength that is in the visible range. Number M n₁ #1 Units 2 n₂ 112 n3 1.70 1.45 1.83 118 14 Type L A max 201
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