COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 87QAP
To determine
To prove that in case of more than two optically different media sandwiched together, with air on left and air on right, the angle at which light returns to air is independent of the indices of refraction of the interior media.
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•39 In Fig. 34-38, a beam of parallel light rays from a laser is in-
cident on a solid transparent sphere of index of refraction n. (a) If
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of light to propagate long distances by using total internal reflec-
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n3 < n2. The numerical aperture of the fiber is defined as sine,
where 0, is the angle of incidence of a ray of light that impinges
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cladding interface just at the critical angle. Using the figure as
a guide, show that the numerical aperture is given by
sine, = Vn3 - n? assuming the ray is initially in air. Hint: Use of the
Pythagorean theorem may be required.
44
•48 In Fig. 33-48a, a light ray in water is incident at angle 61 on a
boundary with an underlying material, into which some of the
light refracts. There are two choices of underlying material. For
each, the angle of refraction 6, versus the incident angle 6, is
given in Fig. 33-48b. The vertical axis scale is set by 6, = 90°.
%3D
Without calculation, determine whether the index of refraction of
(a) material 1 and (b) material 2 is greater or less than the index
of water (n = 1.33). What is the index of refraction of (c) material
1 and (d) material 2?
Ө,
в2.
Water
0°
45°
90°
(a)
(6)
Chapter 23 Solutions
COLLEGE PHYSICS
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- •8 In Fig. 35-33, two light pulses are sent through layers of plastic Pulse п п with thicknesses of either L or 2L as shown and indexes of refraction Pulse n = 1.55, nz = 1.70, nz = 1.60, n4 = i 1.45, ng = 1.59, ng = 1.65, and n, = 1.50. (a) Which pulse travels through the plastic in less time? (b) What multiple of Lic gives the difference in the traversal times of the pulses? %3D Figure 35-33 Problem 8.arrow_forward•• A slab of glass that has an index of refraction of 1.50 is submerged in water that has an index of refraction of 1.33. Light in the water is incident on the glass. Find the angle of refraction if the angle of incidence is (a) 60°, (b) 45°, and (c) 30°. SSM 31arrow_forwardA ray of light in air is incident at an angle of 25.0° on a glass slide with index of refraction 1.67. (a) At what angle is the ray refracted? • from the normal (b) If the wavelength of the light in vacuum is 520 nm, find its wavelength in the glass. nmarrow_forward
- •• Alight ray passes through a prism with an apex angle of a, as shown in Figure 31-62. The ray and the bisector of the apex angle intersect at right angles. Show that the angle of deviation & is related to the apex angle and the index of refraction of the prism material by sin {(a + 8)] = n sin(ta). 78arrow_forward• Light is refracted as it travels from a point A in medium 1 to apoint B in medium 2. If the index of refraction is 1.33 in medium1 and 1.51 in medium 2, how much time does it take for light to gofrom A to B, assuming it travels 331 cm in medium 1 and 151 cm inmedium 2?arrow_forward•45 When the rectangular metal tank in Fig. 33-46 is filled to the top with an unknown liquid, observer o- O, with eyes level with the top of the tank, can just see corner E. A ray that refracts toward O at the top surface of the liquid is shown. If D = 85.0 cm and L = 1.10 m, what -Normal to liquid surface is the index of refraction of the liquid? -L-arrow_forward
- • The radius of the 10th dark ring in Newton's rings apparatus changes from 60 to 50 mm when a liquid is introduced between the lens and the plate. Calculate the refraction index of the liquid.arrow_forward•Explain what happens to the light ray at ech boundary: a plastic rectblock a mirrorarrow_forward• A beam of light strikes the plane surface of silicate flint glass at an angle of incidence of 45°. The index of refraction of the glass varies with wavelength (see Figure 31-59). How much smaller is the angle of refraction for violet light of wavelength 400 nm than the angle of refraction for red light of wavelength 700 nm? 49 11 1.7 Silicate flint glass 1.6 Borate flint glass Quartz Silicate crown glass 1.5 Violet Red 1.4 400 500 600 700 2, nmarrow_forward
- Suppose you measure that the solution has an index of refraction of n = 1.4150. What can you say about the concentration of the sugar water? O. It is less than 10% by mass • It is between 45% and 50% by mass • It is between 60% and 65% by mass O. It is greater than 80% by mass SUBMITarrow_forwardExample (2): Light traveling through a bowl of water (n=1.33) to the glass (n=1.5), if the angle of incidence is (30), what is the angie of refraction, what happen if the light incident from the giass into water with the same incident angle?arrow_forwardi) List any two applications of Kinetic Theory of gases . ii)The critical angle for diamond is 24.418 degrees when surrounded by air then . (a ) construct the ray diagram , (b) evaluate the RI of the crown glass and (c) evaluate the speed of light in crown glass .arrow_forward
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Laws of Refraction of Light | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=4l2thi5_84o;License: Standard YouTube License, CC-BY