Activity: Solve and Draw the problem below. A beam of white light goes from air into quartz at an incidence of 45°. What are the angles of the following: Orange (610 nm), Green (550 nm) and Violet (410 nm) with respect with the normal line? Refer to Table 1 to get the indices of refraction at various wavelength.
Activity: Solve and Draw the problem below. A beam of white light goes from air into quartz at an incidence of 45°. What are the angles of the following: Orange (610 nm), Green (550 nm) and Violet (410 nm) with respect with the normal line? Refer to Table 1 to get the indices of refraction at various wavelength.
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Question
Transcribed Image Text:Note that this equation requires that n2 < n1
Example: Dispersion of White Light by Flint Glass (Figure 2)
A beam of white light goes from air into flint glass at an incidence angle
of 43.2°. What is the angle between the red (660 nm) and violet (410
nm) parts of the refracted light?
Instruction
i Qviotet
Figure 2: Dispersion of White Light by Flint Glass
Values for the indices of refraction for flint glass at various wavelengths are listed in Table 1(Use these values
to calculate the angle of refraction for each color and then take the difference to find the dispersion angle.
TABLE 1: Index of Refraction (n) in Selected Media at Various Wavelengths.
Red
Orange
(610 nm)
Yellow
Green
Blue
Violet
Medium
(660 nm)
(580 nm)
(550 nm)
(470 nm)
(410 nm)
Water
1.331
1.332
1.333
1.335
1.338
1.342
Diamond
2.410
2.415
2.417
2.426
2.444
2.458
Glass, crown
Glass, flint
Polystyrene
Quartz, fused
1.512
1.514
1.518
1.519
1.524
1.530
1.674
1.684
1.662
1.488
1.665
1.667
1.492
1.698
1.490
1.493
1.499
1.506
1.455
1.456
1.458
1.459
1.462
1.468
Solution
(c) Similarly, the angle of incidence for the violet part of the
(a) Applying the law of refraction for the red part of the beam is
beam
nair sin eair = Nred sin Bred
(1.000) sin 43.2°
Oviolet = sin-1("air Sin 8,
1@air) -sin-1
Nyiolet
= 23.77°
1.698
(b) We can solve for the angle of refraction as
(d) The difference between these two angles is
O red = sin-("air Sin ở air) - sin-1 ((1.000) sin 43.2°) = 24.23
nred
1.662
O red - Oviolet = 24.23° – 23.77° = 0.46°
Activity: Solve and Draw the problem below.
A beam of white light goes from air into quartz at an incidence of 45°. What are the angles of the following:
Orange (610 nm), Green (550 nm) and Violet (410 nm) with respect with the normal line? Refer to Table 1 to
get the indices of refraction at various wavelength.
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