College Physics:
11th Edition
ISBN: 9781305965515
Author: SERWAY, Raymond A.
Publisher: Brooks/Cole Pub Co
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Chapter 22, Problem 10P
To determine
Show that after the ray is reflected off both mirrors, the outgoing reflected ray is parallel to the incident ray.
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Two plane mirrors are at right angles to each other as shown by the side view in Figure P22.10. A light ray is incident on mirror 1 at an angle 0 with the vertical. Using the law of reflection and geometry, show that after the ray is reflected off of both mirrors, the outgoing reflected ray is parallel to the incident ray.
Two plane mirrors are at
right angles to each other
as shown by the side view in
Figure P22.10. A light ray is
incident on mirror 1 at an
angle with the vertical.
Using the law of reflection
and geometry, show that
after the ray is reflected off
of both mirrors, the outgo-
ing reflected ray is parallel
to the incident ray.
Mirror 2
nobshe
oral
ban
bai
10
Incident ray
Mirror 1
Figure P22.10
A light ray traveling in air is incident on one face of a right-angle prism with index of refraction n = 1.49, as shown in Figure P22.54, and the ray follows the path shown in the figure. Assuming that θ = 58.0° and the base of the prism is mirrored, determine the angle made by the outgoing ray with the normal to the right face of the prism.?degrees
Chapter 22 Solutions
College Physics:
Ch. 22.2 - Which part of Figure 22.3, (a) or (b), better...Ch. 22.2 - Prob. 22.2QQCh. 22.3 - A material has an index of refraction that...Ch. 22.3 - As light travels from a vacuum (n = 1) to a medium...Ch. 22 - Prob. 1CQCh. 22 - A ray of light passes from one material into a...Ch. 22 - Prob. 3CQCh. 22 - Prob. 4CQCh. 22 - Determine whether each of the following statements...Ch. 22 - A type of mirage called a pingo is often observed...
Ch. 22 - In dispersive materials, the angle of refraction...Ch. 22 - The level of water in a clear, colorless glass can...Ch. 22 - Prob. 9CQCh. 22 - Light in medium A undergoes a total internal...Ch. 22 - Prob. 11CQCh. 22 - Try this simple experiment on your own. Take two...Ch. 22 - Prob. 13CQCh. 22 - Prob. 14CQCh. 22 - A light ray containing both blue and red...Ch. 22 - During the Apollo XI Moon landing, a...Ch. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Find the speed of light in (a) water, (b) crown...Ch. 22 - A ray of light travels from air into another...Ch. 22 - Prob. 8PCh. 22 - An underwater scuba diver sees the Sun at an...Ch. 22 - Prob. 10PCh. 22 - A laser beam is incident at an angle of 30.0 to...Ch. 22 - Light containing wavelengths of 400. nm, 500. nm,...Ch. 22 - A ray of light is incident on the surface of a...Ch. 22 - Prob. 14PCh. 22 - The light emitted by a helium-neon laser has a...Ch. 22 - Figure P22.16 shows a light ray traveling in a...Ch. 22 - Prob. 17PCh. 22 - A ray of light strikes a flat, 2.00-cm-thick block...Ch. 22 - Prob. 19PCh. 22 - Prob. 20PCh. 22 - A man shines a flashlight from a boat into the...Ch. 22 - A narrow beam of ultra-sonic waves reflects off...Ch. 22 - A person looking into an empty container is able...Ch. 22 - Prob. 24PCh. 22 - Prob. 25PCh. 22 - Prob. 26PCh. 22 - An opaque cylindrical tank with an open top has a...Ch. 22 - A certain kind of glass has an index of refraction...Ch. 22 - The index of refraction for red light in water is...Ch. 22 - The index of refraction for crown glass is 1.512...Ch. 22 - A light beam containing red and violet wavelengths...Ch. 22 - Prob. 32PCh. 22 - A ray of light strikes the midpoint of one face of...Ch. 22 - For light of wavelength 589 nm. calculate the...Ch. 22 - Repeat Problem 34, but this time assume the...Ch. 22 - A beam of light is incident from air on the...Ch. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - A light ray is incident normally to the long face...Ch. 22 - Prob. 40PCh. 22 - A room contains air in which the speed of sound is...Ch. 22 - Prob. 42PCh. 22 - The light beam in Figure P22.43 strikes surface 2...Ch. 22 - Prob. 44PCh. 22 - A layer of ice having parallel sides floats on...Ch. 22 - A ray of light is incident at an angle 30.0 on a...Ch. 22 - When a man stands near the edge of an empty...Ch. 22 - Prob. 48APCh. 22 - Refraction causes objects submerged in water to...Ch. 22 - A narrow beam of light is incident from air onto a...Ch. 22 - Prob. 51APCh. 22 - Endoscopes are medical instruments used to examine...Ch. 22 - A piece of wire is bent through an angle . The...Ch. 22 - Prob. 54APCh. 22 - Prob. 55APCh. 22 - Prob. 56APCh. 22 - Prob. 57APCh. 22 - Students allow a narrow beam of laser light to...Ch. 22 - Prob. 59APCh. 22 - Three sheets of plastic have unknown indices of...Ch. 22 - A person swimming underwater on a bright day and...Ch. 22 - Prob. 62AP
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- Figure P36.95 shows a thin converging lens for which the radii of curvature of its surfaces have magnitudes of 9.00 cm and 11.0 cm. The lens is in front of a concave spherical mirror with the radius of curvature R = 8.00 cm. Assume the focal points F1 and F2 of the lens are 5.00 cm from the center of the lens, (a) Determine the index of refraction of the lens material. The lens and mirror are 20.0 cm apart, and an object is placed 8.00 cm to the left of the lens. Determine (b) the position of the filial image and (c) its magnification as seen by the eye in the figure. (d) Is the final image inverted or upright? Explain.arrow_forward(i) An object is plated at a position p f from a concave mirror as shown in Figure CQ39.12a, where f is the focal length of the mirror. In a finite time interval, the object is moved to the right to a position at the focal point F of the mirror. Show that the image of the object moves at a speed greater than the speed of light. (ii) A laser pointer is suspended in a horizontal plane and set into rapid rotation as shown in Figure CQ39 12b. Show that the spot of light it produces on a distant screen can move across the screen at a speed greater than the speed of light. (If you carry out this experiment. make sure the direct laser light cannot enter a person's eyes.) (iii) Argue that the experiments in parts (i) and (ii) do not invalidate the principle that no material, no energy, and no information can move faster than light moves in a vacuum. Figure CQ39.12arrow_forwardCurved 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_forward
- The object in Figure P23.52 is mid-way between the lens and the mirror, which are separated by a distance d = 25.0 cm. The magnitude of the mirrors radius of curvature is 20.0 cm, and the lens has a focal length of 16.7 cm. (a) Considering only the light that leaves the object and travels first toward the mirror, locate the final image formed by this system. (b) Is the image real or virtual? (c) Is it upright or inverted? (d) What is the overall magnification of the image? Figure P23.52arrow_forwardAn observer to the right of the mirror-lens combination shown in Figure P36.89 (not to scale) sees two real images that are the same size and in the same location. One image is upright, and the other is inverted. Both images are 1.50 times larger than the object. The lens has a focal length of 10.0 cm. The lens and mirror are separated by 40.0 cm. Determine the focal length of the mirror.arrow_forwardConsider the lensmirror arrangement shown in Figure P35.55. There are two final image positions to the left of the lens of focal length fL. One image position is due to light traveling from the object to the left and passing through the lens. The other image position is due to light traveling to the right from the object, reflecting from the mirror of focal length fM and then passing through the lens. For a given object position p between the lens and the mirror and measured with respect to the lens, there are two separation distances d between the lens and mirror that will cause the two images described above to be at the same location. Find both positions.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_forwardA floating strawberry illusion is achieved with two parabolic mirrors, each having a focal length 7.50 cm, facing each other as shown in Figure P33.58. If a strawberry is placed on the lower mirror, an image of the strawberry is formed at the small opening at the center of the top mirror, 7.50 cm above the lowest point of the bottom mirror. The position of the eye in Figure P35.58a corresponds to the view of the apparatus in Figure P35.58b. Consider the light path marked A. Notice that this light path is blocked by the upper mirror so that the strawberry itself is not directly observable. The light path marked B corresponds to the eye viewing the image of the strawberry that is formed at the opening at the top of the apparatus. (a) Show that the final image is formed at that location and describe its characteristics. (b) A very startling effect is to shine a flashlight beam on this image. Even al a glancing angle, the incoming light beam is seemingly reflected from the image! Explain. Figure P35.58arrow_forwardA small convex mirror and a large concave mirror are separated by 1.00 m, and an object is placed 1.40 m to the left of the concave mirror (Fig. P37.69). The concave mirror forms an image of this object at distance di = 25.0 cm. This image is then reflected in the convex mirror, which forms an image a distance of 8.00 cm behind the convex mirror. What is the focal length of the small convex mirror? FIGURE P37.69arrow_forward
- Consider a light ray that enters a pane of glass with air on one side and water on the other side as shown in Figure P38.21. The light ray experiences refraction at the first interface when it enters the glass from the water and again at the second interface when it exits the glass into the air. Assume the index of refraction of the glass is 1.54. For a ray of light, find the angle of incidence 1 in the water such that the ray experiences total internal reflection when it strikes the glassair interface on the other side. FIGURE P38.21arrow_forwardIf Joshs face is 30.0 cm in front of a concave shaving mirror creating an upright image 1.50 times as large as the object, what is the mirrors focal length? (a) 12.0 cm (b) 20.0 cm (c) 70.0 cm (d) 90.0 cm (e) none of those answersarrow_forwardWhy is the following situation impossible? Consider the lensmirror combination shown in Figure P35.55. The lens has a focal length of fL = 0.200 m, and the mirror has a focal length of fM = 0.500 m. The lens and mirror are placed a distance d = 1.30 m apart, and an object is placed at p = 0.300 m from the lens. By moving a screen to various positions to the left of the lens, a student finds two different positions of the screen that produce a sharp image of the object. One of these positions corresponds to light leaving the object and traveling to the left through the lens. The other position corresponds to light traveling to the right from the object, reflecting from the mirror and then passing through the lens. Figure P35.55 Problem 55 and 57.arrow_forward
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