Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780133857221
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 30, Problem 60P
To determine
If total internal reflection at the glass-plastic interface could cause problems with visibility.
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A drop of unknown liquid sits on top of a glass surface and Nglass = 1.57. If total internal reflection occurs at the boundary between the glass and the liquid with a critical angle of 53ﾟ what is a refractive index of the liquid?
A. 2.65
B. .935
C. 1.25
D. 1.97
E. 1.57
The critical angle for water-glass interface is 58°. What is the index of refraction for glass? Use 1.33 as the index of refraction of water.
a. 0.58
b. 1.35
c. 1.57
d. 2.58
For the optical fiber shown in the figure, find the minimum angle of incidence (θi) that will result in total internal reflection if the refractive index for the cladding (n2) is 1.42 and the refractive index of the core is (A.) n1=1.55 and (B.) n1=1.69.
Chapter 30 Solutions
Modified Mastering Physics With Pearson Etext -- Standalone Access Card -- For 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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- Curved glassair interfaces like those observed in an empty shot glass make it possible for total internal reflection to occur at the shot glasss internal surface. Consider a glass cylinder (n = 1.54) with an outer radius of 2.50 cm and an inner radius of 2.00 cm as shown in Figure P38.105. Find the minimum angle i such that there is total internal reflection at the inner surface of the shot glass. FIGURE P38.105 Problems 105 and 106.arrow_forwardA person looking into an empty container is able to see the far edge of the containers bottom, as shown in Figure P22.23a. The height of the container is h, and its width is d. When the container is completely filled with a fluid of index of refraction n and viewed from the same angle, the person can see the center of a coin at the middle of the containers bottom, as shown in Figure P22.23b. (a) Show that the ratio h/d is given by hd=n214n2 (b) Assuming the container has a width of 8.00 cm and is filled with water, use the expression above to find the height of the container.arrow_forwardHow can you use total internal reflection to estimate the index of refraction of a medium?arrow_forward
- Light traveling in a medium of index of refraction n1 is incident on another medium having an index of refraction n2. Under which of the following conditions can total internal reflection occur at the interface of the two media? (a) The indices of refraction have the relation n2 n1. (b) The indices of refraction have the relation n1 n2. (c) Light travels slower in the second medium than in the first. (d) The angle of incidence is less than the critical angle. (e) The angle of incidence must equal the angle of refraction.arrow_forwardLight enters a prism of crown glass and refracts at an angle of 5.00 with respect to the normal at the interface. The crown glass has a mean index of refraction of 1.51. It is combined with one flint glass prism (n = 1.65) to produce no net deviation. a. Find the apex angle of the flint glass. b. Assume the index of refraction for violet light (v = 430 nm) is nv = 1.528 and the index of refraction for red light (r = 768 nm) is nr = 1.511 for crown glass. For flint glass using the same wavelengths, nv = 1.665 and nr = 1.645. Find the net dispersion.arrow_forwardLight is incident on a prism as shown in Figure P38.31. The prism, an equilateral triangle, is made of plastic with an index of refraction of 1.46 for red light and 1.49 for blue light. Assume the apex angle of the prism is 60.00. a. Sketch the approximate paths of the rays for red and blue light as they travel through and then exit the prism. b. Determine the measure of dispersion, the angle between the red and blue rays that exit the prism. Figure P38.31arrow_forward
- Fiber optic cables use the concept of total internal reflection to keep 100% of the incident light within the cable. Why must the inner core of the cable have a higher index of refraction than the cladding?arrow_forwardThe drawing shows a crystalline slab (refractive index 1.360) with a rectangular cross section. A ray of light strikes the slab at an incident angle of θ1= 30.0°, enters the slab, and travels to point P. This slab is surrounded by a fluid with a refractive index n. What is the maximum value of n such that total internal reflection occurs at point P?arrow_forwardThe critical angle for total internal reflection within a fiber optic cable is θC = 24.1°. What is the index of refraction (n) for the material it's made from?arrow_forward
- A child and a dolphin in an aquarium observe each other, with their eyes aligned at the same height from the ground. To support the pressure, the aquarium is a flat acrylic screen with a thickness of 60 cm and an index of refraction of 1.49. The child is 15 cm from the outer side of the acrylic, while the dolphin is 12 cm from the inner side. Considering the refractive index of water to be 1.33, at approximately what distance from it does the child perceive the dolphin? You can always consider that the angles involved are small. Hint: The image from the first interface serves as the object for the second interface.arrow_forwardTwo transparent materials are placed side-by-side, the refractive index of the first material is 11.53. What should be the refractive index of the second material so that the critical angle of the interface joining the two materials would be 0.76 radians?arrow_forwardSapphire has an index of refraction of 1.80. What is its critical angle of incidence when in air? 1.16° 55.6° 33.7° 65.2° 87.4° Light travels from leaded glass into water with an angle of refraction of 35.4 °. The angle of incidence is 26.9o. If the refractive index of water is 1.33, what is the refractive index of the leaded glass? 1.04 1.50 1.70 1.90 1.33 Correct answers are noted can you help expalin why?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