Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 30, Problem 55P
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The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n = 1.08.)
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n = 1.60
n = 1.40
n = 1.20
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(a) If 8₁ = 36.0°, what is the angle 8₂ of the emerging beam?
(b) What is the smallest incident angle 0₁ to have total internal reflection at the surface between the medium with n = 1.20 and the medium
with n = 1.08?
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A light ray with a wavelength of 589 nanometers (produced by a sodium lamp) traveling through air makes an angle of
= to find the angle of refraction,
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incidence of 55° on a smooth, flat slab of dense flint glass. Use Snell's Law,
sin 02
where the index of refraction is 1.66.
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The angle of refraction is approximately degrees.
(Type an integer or decimal rounded to two decimal places as needed.)
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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- A ray of light strikes a flat, 2.00-cm-thick block of glass (n = 1.50) at ail angle of 30.0 with respect to the normal (Fig. P22.18). (a) Find the angle of refraction at the lop surface. (b) Find the angle of incidence at the bottom surface and the refracted angle. (c) Find the lateral distance d by which the light beam is shifted. (d) Calculate the speed of light in the glass and (e) the time required for the light to pass through the glass block. (f) Is the travel time through the block affected by the angle of incidence? Explain.arrow_forwardA light ray traveling in air strikes the surface of a slab of glass at an angle of incidence of 50°, Part of the light is reflected and part is refracted.. Find the angle the refracted ray makes with respect to the normal to the airiglass interface. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B IUS Paragraph Arial 10pt * G自Q x X, ४ ४ + ABC 田 日田田国 Í (1} © © O OWORDS POWERED BY TINY Sve All Answers Speand Submit 7 AM Click Save and Submit to save and submit, Click Save All Answers to save all answers. R. W 田 国arrow_forwardThe figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n. 1.08.) n = 1.60 n = 1.40 n = 1.20 (a) If 01 36.0°, what is the angle 0, of the emerging beam? %D (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium withn, = 1.08?arrow_forward
- A ray of light crosses the boundary between some substance with n = 1.61 and air, going from the substance into air. If the angle of incidence is 18◦ what is the angle of refraction? Calculate to 1decimal.arrow_forwardA ray of light enters parallel to the axis of a hollow cylindrical tube. When the tube has only air, the light takes 18.6 ns to travel the full length of the cylinder, but when the tube is filled with a transparent substance, it takes 7.1 ns longer to travel by comparison. What is the refractive incidence of that substance?arrow_forwardA ray of light is perpendicular to the face ab of a glass prism (n = 1.52). Find the largest value for the angle so that the ray is totally reflected at face ac if the prism is immersed (a) in air and (b) in water.arrow_forward
- A flat piece of glass covers the top of a vertical cylinder that is completely filled with water. If a ray of light traveling in the glass is incident on the interface with the water at an angle of θa = 36.2°, the ray refracted into the water makes an angle of 49.8o with the normal to the interface. What is the smallest value of the incident angle ua for which none of the ray refracts into the water?arrow_forwardA light ray propagates in Material 1 with index of refraction n = 1.15, strikes an interface, then passes into Material 2 with index of refraction n = 1.31. The angle of incidence at the interface is 0 = 23.5°. Determine the angle of refraction 0. Material 1 Material 2 02 =arrow_forwardIn Figure (a), a beam of light in material 1 is incident on a boundary at an angle of 28°. The extent to which the light is bent due to refraction depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values, from na = 1.40 to np = 1.97. What is the speed of light in material 1? 38 28 28° 18° (a) (b) Number Units the tolerance is +/-5%arrow_forward
- In the figure, light from ray A refracts from material 1 (n1 = 1.60) into a thin layer of material 2 (n2 = 1.80), crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3 (n3 = 1.3). (a) What is the value of incident angle θA? (b) If θA is decreased, does part of the light refract into material 3? Light from ray B refracts from material 1 into the thin layer, crosses that layer, and is then incident at the critical angle on the interface between materials 2 and 3. (c) What is the value of incident angle θB? (d) If θB is decreased, does part of the light refract into material 3?arrow_forwardIn Figure (a), a beam of light in material 1 is incident on a boundary at an angle of 28° The extent to which the light is bent due to refraction depends, in part, on the index of refraction n2 of material 2. Figure (b) gives the angle of refraction 02 versus n2 for a range of possible n2 values, from n, = 1.36 to n, = 1.94. What is the speed of light in material 1? 38° 28 28 18 na (a) (b) Number i ! Units m/sarrow_forwardA ray of light is incident normally on one of the faces of a prism of index of refraction n = 1.57. The ray emerges out of the prism with an angle of refraction e equal to: 50° nair 1 n a a 20.2° 26.8° 24.0° 22.7° 21.4°arrow_forward
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