Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 32, Problem 3P
(II) Two plane mirrors meet at a 135° angle, Fig. 32–45. If light rays strike one mirror at 38° as shown, at what angle ϕ do they leave the second mirror?
FIGURE 32–45
Problem 3.
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Students have asked these similar questions
(II) Two plane mirrors meet at a 135° angle,
Fig. 23–52. If light rays strike one mirror
at 34° as shown, at what angle o do
they leave the second mirror?
FIGURE 23-52
34°
Problem 3.
(II) An aquarium filled with water has flat glass sides whose
index of refraction is 1.54. A beam of light from outside
the aquarium strikes the glass at a 43.5° angle to the
perpendicular (Fig. 23–56). What is the angle of this light
ray when it enters (a) the glass, and
then (b) the water? (c) What would be
the refracted angle if the ray entered
the water directly?
Glass
Air
Water
43.5°
FIGURE 23-56
Problem 32.
(ii) In an experiment, a student is asked to measure the index of refraction of
Perspex. Her measurements show that, for an angle of incidence in air of 22°, the
angle in Perspex is 14.5°. What will the index of refraction be for the Perspex?
Chapter 32 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 32.1 - Does the result of Example 322 depend on your...Ch. 32.1 - Return to the Chapter-Opening Question, page 837,...Ch. 32.1 - Suppose you are standing about 3 m in front of a...Ch. 32.5 - Light passes from a medium with n = 1.3 into a...Ch. 32.7 - Fill a sink with water. Place a waterproof watch...Ch. 32.7 - It 45.0 plastic lenses are used in binoculars,...Ch. 32 - What would be the appearance of the Moon if it had...Ch. 32 - Archimedes is said to have burned the whole Roman...Ch. 32 - What is the focal length of a plane mirror? What...Ch. 32 - An object is placed along the principal axis of a...
Ch. 32 - Using the rules for the three rays discussed with...Ch. 32 - Prob. 6QCh. 32 - If a concave mirror produces a real image, is the...Ch. 32 - Prob. 8QCh. 32 - When you look at the Moons reflection from a...Ch. 32 - How can a spherical mirror have a negative object...Ch. 32 - Prob. 11QCh. 32 - When you look down into a swimming pool or a lake,...Ch. 32 - Draw a ray diagram to show why a stick looks bent...Ch. 32 - Prob. 14QCh. 32 - You look into an aquarium and view a fish inside....Ch. 32 - Prob. 16QCh. 32 - A ray of light is refracted through three...Ch. 32 - Can a light ray traveling in air be totally...Ch. 32 - When you look up at an object in air from beneath...Ch. 32 - What type of mirror is shown in Fig. 3244?Ch. 32 - Light rays from stars (including our Sun) always...Ch. 32 - (I) When you look at yourself in a 60-cm-tall...Ch. 32 - (I) Suppose that you want to take a photograph of...Ch. 32 - (II) Two plane mirrors meet at a 135 angle, Fig....Ch. 32 - (II) A person whose eyes are 1.64 m above the...Ch. 32 - (II) Show that if two plane mirrors meet at an...Ch. 32 - (II) Suppose you are 88 cm from a plane mirror....Ch. 32 - (II) Stand up two plane minors so they form a 90.0...Ch. 32 - (III) Suppose a third mirror is placed beneath the...Ch. 32 - (I) A solar cooker, really a concave mirror...Ch. 32 - (I) How far from a concave mirror (radius 24.0cm)...Ch. 32 - (I) When walking toward a concave mirror you...Ch. 32 - (II) A small candle is 35 cm from a concave mirror...Ch. 32 - (II) You look at yourself in a shiny...Ch. 32 - (II) A mirror at an amusement park shows an...Ch. 32 - (II) A dentist wants a small mirror that, when...Ch. 32 - (II) Some rearview mirrors produce images of cars...Ch. 32 - (II) You are standing 3.0 m from a convex security...Ch. 32 - (II) An object 3.0 mm high is placed 18 cm from a...Ch. 32 - (II) The image of a distant tree is virtual and...Ch. 32 - (II) Use two techniques, (a) a ray diagram, and...Ch. 32 - (II) Show, using a ray diagram, that the...Ch. 32 - (II) Use ray diagrams to show that the mirror...Ch. 32 - (II) The magnification of a convex mirror is +0.55...Ch. 32 - (II) (a) Where should an object be placed in front...Ch. 32 - (II) A 4.5-cm tall object is placed 26 cm in front...Ch. 32 - (II) A shaving or makeup mirror is designed to...Ch. 32 - (II) Let the focal length of a convex mirror be...Ch. 32 - (II) A spherical mirror of focal length f produces...Ch. 32 - Prob. 30PCh. 32 - (III) A short thin object (like a short length of...Ch. 32 - (I) The speed of light in ice is 2.29 108 m/s....Ch. 32 - (I) What is the speed of light in (a) ethyl...Ch. 32 - (I) Our nearest star (other than the Sun) is 4.2...Ch. 32 - (I) How long does it take light to reach us from...Ch. 32 - (II) The speed of light in a certain substance is...Ch. 32 - (II) Light is emitted from an ordinary lightbulb...Ch. 32 - (I) A diver shines a flashlight upward from...Ch. 32 - (I) A flashlight beam strikes the surface of a...Ch. 32 - Prob. 40PCh. 32 - (I) A light beam coming from an underwater...Ch. 32 - (II) A beam of light in air strikes a slab of...Ch. 32 - (II) A light beam strikes a 2.0-cm-thick piece of...Ch. 32 - (II) An aquarium filled with water has flat glass...Ch. 32 - (II) In searching the bottom of a pool at night, a...Ch. 32 - (II) The block of glass (n = 1.5) shown in cross...Ch. 32 - (II) A laser beam of diameter d1 = 3.0 mm in air...Ch. 32 - (II) Light is incident on an equilateral glass...Ch. 32 - (II) A triangular prism made of crown glass (n =...Ch. 32 - (II) Show in general that for a light beam...Ch. 32 - (III) A light ray is incident on a flat piece of...Ch. 32 - (I) By what percent is the speed of blue light...Ch. 32 - (I) A light beam strikes a piece of glass at a...Ch. 32 - (II) A parallel beam of light containing two...Ch. 32 - (III) A ray of light with wavelength is incident...Ch. 32 - (III) For visible light, the index of refraction n...Ch. 32 - (I) What is the critical angle for the interlace...Ch. 32 - (I) The critical angle for a certain liquidair...Ch. 32 - (II) A beam of light is emitted in a pool of water...Ch. 32 - (II) A ray of light, after entering a light fiber,...Ch. 32 - (II) A beam of light is emitted 8.0cm beneath the...Ch. 32 - (II) Figure 3257 shows a liquid-detecting prism...Ch. 32 - (II) Two rays A and B travel down a cylindrical...Ch. 32 - (II) (a) What is the minimum index of refraction...Ch. 32 - (III) Suppose a ray strikes the left face of the...Ch. 32 - (III) A beam of light enters the end of an optic...Ch. 32 - (II) A 13.0-cm-thick plane piece of glass (n =...Ch. 32 - (II) A fish is swimming in water inside a thin...Ch. 32 - (III) In Section 32-8, we derived Eq. 32-8 for a...Ch. 32 - Two identical concave mirrors are set facing each...Ch. 32 - A slab of thickness D, whose two faces are...Ch. 32 - Two plane mirrors are facing each other 2.2 m...Ch. 32 - We wish to determine the depth of a swimming pool...Ch. 32 - A 1.80-m-tall person stands 3.80 m from a convex...Ch. 32 - Prob. 76GPCh. 32 - Each student in a physics lab is assigned to find...Ch. 32 - A kaleidoscope makes symmetric patterns with two...Ch. 32 - When light passes through a prism, the angle that...Ch. 32 - If the apex angle of a prism is = 72 (see Fig....Ch. 32 - Fermats principle slates that light travels...Ch. 32 - Suppose Fig. 3236 shows a cylindrical rod whose...Ch. 32 - An optical fiber is a long transparent cylinder of...Ch. 32 - An object is placed 15 cm from a certain mirror....Ch. 32 - The end faces of a cylindrical glass rod (n =...Ch. 32 - The paint used or highway signs often contains...
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- (II) Stand up two plane mirrors so they form a 90.0° angle as in Fig. 23–54. When you look into this double mirror, 12 you see yourself as others see you, instead of reversed as in a single mirror. Make a ray diagram to show how this occurs. FIGURE 23-54 Problem 5. 3.arrow_forwardIf the apex angle of a prism is $ = 75° (see Fig. 23–63), what is the minimum incident angle for a ray if it is to emerge from the opposite side (i.e., not be totally internally reflected), given n = 1.58? FIGURE 23-63 Problem 77.arrow_forwardA ray of light is refracted through three different materials (Fig. 23-49). Which material has (a) the largest index of refraction, (b) the smallest? FIGURE 23–49 Question 14.arrow_forward
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- (b) When light is incident on an interface between two materials with different index of refraction, the angle of the refracted ray depends on the wavelength. However, the angle of the reflected ray does not depend on the wavelength at all. Explain why this happens.arrow_forwardA ray of light is travelling from a rarer medium to a denser medium. While entering the denser medium at the point of incidence, it O goes straight into the second medium bends towards the normal bends away from the normal does not enter at all None of these Moving to another question will save this response. « Question 9 of 20 40 8arrow_forwardA planoconvex lens (Fig. 23–31a) has one flat surfaceand the other has R =14.5 cm. This lens is used to viewa red and yellow object which is 66.0 cm away from thelens. The index of refraction of the glass is 1.5106 for redlight and 1.5226 for yellow light. What are the locations ofthe red and yellow images formed by the lens? [Hint: SeeSection 23–10.]arrow_forward
- Problem 2 . (III) A beam of light enters the end of an optic fiber as shown in Fig. 32-59. (a) Show that we can guarantee total internal reflection at the side surface of the material (at point A), if the index of refraction is greater than about 1.42. In other words, regardless of the angle a, the light beam reflects back into the material at point A, assuming air outside. FIGURE 32-59 Problem 66. A B L ident Air Transparent o dose materialarrow_forward(i) klhich of the following results when a moves from wave a medium of low refractive index to a medium of higher refractive index. klave 7. Speed decrease Klave length increase bends towards normal - bends away from normal - total internal refraction. - total internal reflection rays experience are - Answer can be more than 1. refracted by exactly 90°arrow_forwardWe wish to determine the depth of a swimming pool filled with water by measuring the width (x = 6.50 m) and then noting that the far bottom edge of the pool is just visible at an angle of 13.0° above the horizontal as shown in Fig. 23–62. Calculate the depth of the pool. 13.0 F6.50 m Water Depth ? IGURE 23–62 roblem 71.arrow_forward
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