Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 30, Problem 62P
For common materials like glass, the wavelength dependence of the refractive index at visual wavelengths is given approximately by n(λ) = b + c/λ2, where b and c are constants. The table below gives values of λ and n for the crown glass of Example 30.4. Determine a quantity that, when you plot n against it, should give a straight line. Make your plot, establish a best-fit line, and use the line to determine the constants b and c.
| λ (nm) | 425 | 475 | 525 | 575 | 625 | 675 |
| n | 1.534 | 1.528 | 1.523 | 1.521 | 1.518 | 1.517 |
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Light travels from air into a fluid which has a refractive index of 1.55. The angle of incidence is 41o.a)Calculate sin of the angle of incidence. Give your answer to 3 decimal places and use it to this accuracy in any subsequent calculations, if needed. Hint: make sure your calculator is on degrees (not radians or grads).
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Q.2 Light passes through a transparent substance at a speed of 2 ×108 m/s. What is the index of
refraction of the substance?
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Measuring n Using a Prism
Although we do not prove it here, the minimum angle of deviation &min for a prism occurs when the angle of incidence 0, is such
that the refracted ray inside the prism makes the same angle with the normal to the two prism faces as shown in the figure.
Obtain an expression for the index of refraction of the prism material in terms of the minimum angle of deviation and the apex
angle 0.
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2k8min
A light ray passing through a prism at the minimum angle of deviation 6min:
SOLUTION
Conceptualize Study the figure carefully and be sure you understand why the light ray comes out of the prism traveling in
a different
direction.
Categorize In this example, light enters a material through one surface and leaves the material at another surface. Let's apply
the wave under refraction
v model to the light passing through the prism.
Analyze
Ф
Consider the geometry in the figure, where we have used symmetry to label several angles. The reproduction of the angle
at
2
the…
Chapter 30 Solutions
Essential University Physics (3rd Edition)
Ch. 30.1 - Prob. 30.1GICh. 30.2 - The figure shows the path of a light ray through...Ch. 30.3 - The glass prism in Fig. 30.11 has n = 1.5 and is...Ch. 30.4 - Prob. 30.4GICh. 30 - Prob. 1FTDCh. 30 - Why does a spoon appear bent when its in a glass...Ch. 30 - Prob. 3FTDCh. 30 - Prob. 4FTDCh. 30 - You send white light through two identical glass...Ch. 30 - Prob. 6FTD
Ch. 30 - Prob. 7FTDCh. 30 - Why are polarizing sunglasses better than glasses...Ch. 30 - Under what conditions will the polarizing angle be...Ch. 30 - Through what angle should you rotate a mirror so...Ch. 30 - Prob. 12ECh. 30 - To what angular accuracy must two ostensibly...Ch. 30 - Prob. 14ECh. 30 - In which substance in Table 30.1 does the speed of...Ch. 30 - Information in a compact disc is stored in pits"...Ch. 30 - Light is incident on an air-glass interface, and...Ch. 30 - A light ray propagates in a transparent material...Ch. 30 - Light propagating in the glass (n = 1.52) wall of...Ch. 30 - Prob. 20ECh. 30 - Find the refractive index of a material for which...Ch. 30 - Prob. 22ECh. 30 - Prob. 23ECh. 30 - What is the critical angle for light propagating...Ch. 30 - Prob. 25ECh. 30 - Blue and red laser beams strike an air-glass...Ch. 30 - White light propagating in air is incident at 45...Ch. 30 - Suppose the 60 angle in Fig. 30.18 is changed to...Ch. 30 - The refractive index of a human cornea is 1.40. If...Ch. 30 - Two plane mirrors make an angle . A light ray...Ch. 30 - An unlabeled bottle of liquid has spilled, and...Ch. 30 - A meter stick lies on the bottom of the...Ch. 30 - Prob. 33PCh. 30 - At the aquarium where you work, a fish has gone...Ch. 30 - Prob. 35PCh. 30 - You've dropped your car keys at night off the end...Ch. 30 - Laser eye surgery uses ultraviolet light with...Ch. 30 - Prob. 38PCh. 30 - Repeat Problem 38 for the case n = 1.75, = 40,...Ch. 30 - Find the minimum refractive index for the prism in...Ch. 30 - Where and in what direction would the main beam...Ch. 30 - Find the speed of light in a material for which...Ch. 30 - Prob. 43PCh. 30 - For the interface between air (refractive index 1)...Ch. 30 - A scuba diver sets off a camera flash at depth h...Ch. 30 - Suppose the red and blue beams of Exercise 26 are...Ch. 30 - In cataract surgery, ophthalmologists replace the...Ch. 30 - In a ruby laser, light is produced in a solid rod...Ch. 30 - Reconsider Example 30.4, now in a glass with n700...Ch. 30 - A cylindrical tank 2.4 m deep is full to the brim...Ch. 30 - For what diameter tank in Problem 50 will sunlight...Ch. 30 - Light is incident from air on the flat wall of a...Ch. 30 - Prob. 53PCh. 30 - Find an expression for the displacement x in Fig....Ch. 30 - Prob. 55PCh. 30 - (a) Differentiate the result of Problem 55 to show...Ch. 30 - Prob. 57PCh. 30 - Prob. 58PCh. 30 - Fermat's principle states that a light ray's path...Ch. 30 - Prob. 60PCh. 30 - A slab of transparent material has thickness d and...Ch. 30 - For common materials like glass, the wavelength...Ch. 30 - Figure 30.25a depicts lights path over a hot road,...Ch. 30 - Prob. 64PPCh. 30 - Figure 30.25b shows how continuous refraction in...Ch. 30 - The refractive index in the ionosphere is strongly...
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