57 through 68 GO 64, 65 SSM 59 Transmission through thin layers. In Fig. 35-43, 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 r 3 (the light does not reflect inside material 2) and r 4 (the light reflects twice inside material 2). The waves of r 3 and r 4 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refraction n 1 , n 2 , and n 3 , the type Figure 35-43 Problems 57 through 68. n 1 n 2 n 3 Type L λ 60 1.50 1.34 1.42 max 380
57 through 68 GO 64, 65 SSM 59 Transmission through thin layers. In Fig. 35-43, 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 r 3 (the light does not reflect inside material 2) and r 4 (the light reflects twice inside material 2). The waves of r 3 and r 4 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refraction n 1 , n 2 , and n 3 , the type Figure 35-43 Problems 57 through 68. n 1 n 2 n 3 Type L λ 60 1.50 1.34 1.42 max 380
57 through 68GO 64, 65 SSM 59 Transmission through thin layers. In Fig. 35-43, 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 r3(the light does not reflect inside material 2) and r4(the light reflects twice inside material 2). The waves of r3and r4 interfere, and here we consider the type of interference to be either maximum (max) or minimum (min). For this situation, each problem in Table 35-3 refers to the indexes of refraction n1, n2, and n3,the type
*66 o In Fig. 33-62, a light ray in
air is incident at angle 6, on a block
of transparent plastic with an index
of refraction of 1.56. The dimen-
sions indicated are H= 2.00 cm
and W = 3.00 cm. The light passes
through the block to one of its sides
and there undergoes reflection (in-
side the block) and possibly
refraction (out into the air). This is
the point of first reflection. The re-
flected light then passes through
the block to another of its sides-a point of second reflection. If
6 = 40°, on which side is the point of (a) first reflection and
(b) second reflection? If there is refraction at the point of (c) first
reflection and (d) second reflection, give the angle of refraction;
if not, answer "none." If 61 = 70°, on which side is the point of
(e) first reflection and (f) second reflection? If there is refrac-
tion at the point of (g) first reflection and (h) second reflection,
give the angle of refraction; if not, answer “none."
н
Figure 33-62 Problem 66.
A light wave in air strikes the surface of a piece of material of index 1.529 at at an angle 0;
33", as shown in the figure.
Air
Material
a)
The sine of the transmission angle 6, is given by:
sin(33)
1.529
sin(33)
sin(33)
1.529
1.529
b)
Calculate 0, in degrees.
*67 O In the ray diagram of Fig. 33-63, where the angles are not
drawn to scale, the ray is incident at the critical angle on the inter-
face between materials 2 and 3. Angle o = 60.0°, and two of the in-
dexes of refraction are n = 1.70 and n2 = 1.60. Find (a) index of
refraction n3 and (b) angle 0. (c) If øi decreased, does light refract
into material 3?
Figure 33-63 Problem 67.
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