Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 26, Problem 14CQ
To determine
Factors providing high temperature in a reflecting mirror.
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A concave mirror has a focal length of 15 cm. What is the magnification if the object's distance is 105 cm?A healthy person has a body temperature of 98.6 oF. Use the properties of blackbody radiation to work out the precise wavelength of the peak radiation. (Hint: Convert Fahrenheit degrees into Kelvin (absolute) degrees.)
3. A converging lens with a focal length of 12 cm is placed at the center of a flat-end
cylindrical glass tube of length 24 cm. The lens forms an insulated, airtight seal that creates
two chambers of equal volume, and is free to slide like a piston within the cylinder. A mole
of helium is injected into the left chamber, and a mole of molecular (diatomic) hydrogen is
injected into the right chamber, and both chambers of gas are at the same temperature. A
coordinate system with the lens at x = 0 has been introduced to simplify calculations (see
"before" picture below).
you
before
(T₁=T2, lens at x=0, image at x=-84cm)
x=-12cm
He
x=0cm
H₂
x=+12cm
after
(U₁=U₂, lens at x=?, image at x=?)
x=-12cm
He
x=0cm
H₂
x = +12cm
With the equal-volume chambers enclosing equal numbers of moles of ideal gases at equal
temperatures, the pressures must also be equal, which means the lens/piston doesn't move.
You look through the left end of this cylinder at an object that is on the right side of the…
A type of glass has a critical angle of 40 degrees for total internal reflection. Its refractive index is _____.
Chapter 26 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 26.1 - In the overhead view of Figure 26.4, the image of...Ch. 26.1 - Prob. 26.2QQCh. 26.2 - Prob. 26.3QQCh. 26.2 - Prob. 26.4QQCh. 26.4 - What is the focal length of a pane of window...Ch. 26.4 - Prob. 26.6QQCh. 26.5 - Prob. 26.7QQCh. 26 - Prob. 1OQCh. 26 - (i) When an image of an object is formed by a...Ch. 26 - Prob. 3OQ
Ch. 26 - (i) When an image of an object is formed by a...Ch. 26 - Prob. 5OQCh. 26 - If Joshs face is 30.0 cm in front of a concave...Ch. 26 - A converging lens made of crown glass has a focal...Ch. 26 - Two thin lenses of focal lengths f1 = 15.0 and f2...Ch. 26 - Lulu looks at her image in a makeup mirror. It is...Ch. 26 - Prob. 10OQCh. 26 - Prob. 11OQCh. 26 - Prob. 12OQCh. 26 - Prob. 1CQCh. 26 - Prob. 2CQCh. 26 - Prob. 3CQCh. 26 - Prob. 4CQCh. 26 - Prob. 5CQCh. 26 - Prob. 6CQCh. 26 - Suppose you want to use a converging lens to...Ch. 26 - Explain why a fish in a spherical goldfish bowl...Ch. 26 - Prob. 9CQCh. 26 - Prob. 10CQCh. 26 - Prob. 11CQCh. 26 - Prob. 12CQCh. 26 - Prob. 13CQCh. 26 - Prob. 14CQCh. 26 - Prob. 15CQCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - A person walks into a room that has two flat...Ch. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - A large hall in a museum has a niche in one wall....Ch. 26 - Prob. 10PCh. 26 - A concave spherical mirror has a radius of...Ch. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - (a) A concave spherical mirror forms an inverted...Ch. 26 - Prob. 15PCh. 26 - A concave mirror has a radius of curvature of 60.0...Ch. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - A dedicated sports car enthusiast polishes the...Ch. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - A goldfish is swimming at 2.00 cm/s toward the...Ch. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - A converging lens has a focal length of 20.0 cm....Ch. 26 - The left face of a biconvex lens has a radius of...Ch. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - The use of a lens in a certain situation is...Ch. 26 - Prob. 37PCh. 26 - In Figure P26.38, a thin converging lens of focal...Ch. 26 - Figure P26.39 diagrams a cross-section of a...Ch. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - An object is at a distance d to the left of a flat...Ch. 26 - Prob. 43PCh. 26 - A nearsighted person cannot see objects clearly...Ch. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - The accommodation limits for a nearsighted persons...Ch. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - The disk of the Sun subtends an angle of 0.533 at...Ch. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - Prob. 70PCh. 26 - Prob. 71PCh. 26 - Figure P26.72 shows a thin converging lens for...Ch. 26 - Prob. 73P
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- The sun is 150,000,000 kmkm from earth; its diameter is 1,400,000 kmkm. For a science project on solar power, a student uses a 24-cmcm-diameter converging mirror with a focal length of 51 cmcm to focus sunlight onto an object. This casts an image of the sun on the object. For the most intense heat, the image of the sun should be in focus. The intensity of the incoming sunlight is 1050 W/m2W/m2. What is the total power of the light captured by the mirror? Express your answer with the appropriate units.arrow_forward= 1.30 x 104°C-1). At room temperature (20.0°C), the frames have circular lens A pair of eyeglass frames are made of an epoxy plastic (coefficient of linear expansion holes 2.23 cm in radius. To what temperature must the frames be heated if lenses 2.24 cm in radius are to be inserted into them?arrow_forwardYou can see part of the back of your head if you have two mirrors mounted at an acute angle. The picture shows a top view of this with a ray of light that starts at the side of your head, reflects off both mirrors and to your eye. If you are standing equidistant from both mirrors and the angle between the mirrors is 67.4o, what is the angle of reflection from the first mirror? Please give your answer in degrees.arrow_forward
- Set up two pocket mirrors at right angles and place a coin between them. You'll see four coins. Change the angle of the mirrors and see how many images of the coin you can see. With the mirrors at right angles, look at your face. Then wink. Do you see anything unusual? Hold a printed page up to the double mirrors and contrast its appearance with the reflection from a single mirror.arrow_forwardMost animals—humans included—have eyes that use lenses to form images. The eyes of scallops are different. A typical scallop eye forms images largely by reflection from a mirror- like surface at the back of the eye. as shown the important features of a typical scallop eye. The lens causes very little redirection of incoming light rays; it is the spherical surface in the back of the eye that brings rays of light to a focus on the cells of the retina. (For simplicity, we’ve shown no refraction by the lens, although the lens does cause some refraction that seems to help to make the image sharper by correcting for the spherical aberration introduced by the mirror.) The reflection is due to thin-film interference from the front and back faces of 80-nm-thick transparent crystals of guanine, index n = 1.83, that are embedded in cytoplasm with index n = 1.34. The individualeyes are quite small. A typical scallop has 40 to 60 eyes, each with a 450-mm–diameter pupil and a reflecting surface at…arrow_forwardMost animals—humans included—have eyes that use lenses to form images. The eyes of scallops are different. A typical scallop eye forms images largely by reflection from a mirror- like surface at the back of the eye. as shown the important features of a typical scallop eye. The lens causes very little redirection of incoming light rays; it is the spherical surface in the back of the eye that brings rays of light to a focus on the cells of the retina. (For simplicity, we’ve shown no refraction by the lens, although the lens does cause some refraction that seems to help to make the image sharper by correcting for the spherical aberration introduced by the mirror.) The reflection is due to thin-film interference from the front and back faces of 80-nm-thick transparent crystals of guanine, index n = 1.83, that are embedded in cytoplasm with index n = 1.34. The individualeyes are quite small. A typical scallop has 40 to 60 eyes, each with a 450-mm–diameter pupil and a reflecting surface at…arrow_forward
- Most animals—humans included—have eyes that use lenses to form images. The eyes of scallops are different. A typical scallop eye forms images largely by reflection from a mirror- like surface at the back of the eye. as shown the important features of a typical scallop eye. The lens causes very little redirection of incoming light rays; it is the spherical surface in the back of the eye that brings rays of light to a focus on the cells of the retina. (For simplicity, we’ve shown no refraction by the lens, although the lens does cause some refraction that seems to help to make the image sharper by correcting for the spherical aberration introduced by the mirror.) The reflection is due to thin-film interference from the front and back faces of 80-nm-thick transparent crystals of guanine, index n = 1.83, that are embedded in cytoplasm with index n = 1.34. The individualeyes are quite small. A typical scallop has 40 to 60 eyes, each with a 450-mm–diameter pupil and a reflecting surface at…arrow_forwardOne of the solar technologies used today for generating electricity is a device (called a parabolic trough or concentrating collector) that concentrates the sunlight onto a blackened pipe that contains a fluid. This heated fluid is pumped to a heat exchanger, where its heat energy is transferred to another system that is used to generate steam—and so generate electricity through a conventional steam cycle. Shows such a working system in southern California. Concave mirrors are used to concentrate the sunlight onto the pipe. The mirror has the approximate shape of a section of a cylinder. For the problem, assume that the mirror is exactly one-quarter of a full cylinder. a. If we wish to place the fluid-carrying pipe 40.0 cm from the concave mirror at the mirror’s focal point, what will be the radius of curvature of the mirror? b. Per meter of pipe, what will be the amount of sunlight concentrated onto the pipe, assuming the insolation (incident solar radiation) is 0.900 kW/m2? c. If the…arrow_forwardA ray of light is incident on a plane mirror and the angle of refiection is 59 degrees. What is the angie between the incident ray and the reflected ray? O a. 59 degrees O b. 121 degrees O 18 degrees O d. 30 degrees If the temperature of the surface of the object is 583.2 °F, then calculate its value in K. a. 579.22 O b. 614.78 O . 526.36 O d. 33.22 The vision defect in which the lens of the eye become too weak is called Myopia Ob. Farsightedness O. Nearsightedness d. Image defectarrow_forward
- The law of reflection is quite useful for mirrors and other flat, shiny surfaces. (This sort of reflection is called specular reflection). However, you've likely been told that when you look at something, you are seeing light flat, shiny surfaces. (This sort of reflection is called specular reflection). However, you've likely been told that when you look at something, you are seeing light reflected from the object that you are looking at. This is reflection of a different sort: diffuse reflection. In this problem, you will see how diffuse reflection actually arises from the same law of reflection that you are accustomed to for reflections from mirrors. Mirror Submit Consider a spotlight shining onto a horizontal mirror (Figure 1). If the light from the spotlight strikes the mirror at an angle 0 to the normal, what angle , to the normal would you expect for the reflected rays? Express your answer in terms of 0. VE ΑΣΦ α V MacBook Air A T Y P Σ Φ n 0 $ y Ω ħ 6 € 0 T X ε Previous Answers…arrow_forwardA student is usinga mirror in an experiment. She places a 5 cm tall object 16 cm in front of the mirror. A real image, 7 cm tall, is produced. She then moves the object to a different position in front of the mirror and no image is produced. What type of mirror is the student using? Give one piece of information (what was the "hint") that helped you to identify what type of mirrorwas being used. What type of mirror is used as a car's sideview mirror? What is the advantage of using this type of mirror for this purpose? A student is using a convex mirror. The mirror has a focal length of -5 cm. An object is placed 3 cm from the mirror and has a height of 4 cm. Calculate the image distance. Calculate the image height.arrow_forwardA concave mirror has a focal length of 10 cm. A 5 cm tall object is placed 15 cm from the mirror. Determine the image, size, location, weather the image is real or virtual, and if it’s inverted or not.arrow_forward
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