University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Chapter 1, Problem 12CQ
The most common type of mirage is an illusion that light from faraway objects is reflected by a pool of water that is not really there. Mirages are generally observed in deserts, 1en there is a hot layer of air near the ground. Given that the refractive index of air is lower for air at higher temperatures, explain how mirages can be formed.
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An infinitely long conducting cylindrical rod with a positive charge λ per unit length is surrounded by a conducting cylindrical shell (which is also infinitely long) with a charge per unit length of −2λ and radius r1, as shown in the figure. What is σinner, the surface charge density (charge per unit area) on the inner surface of the conducting shell? What is σouter, the surface charge density on the outside of the conducting shell? (Recall from the problem statement that the conducting shell has a total charge per unit length given by −2λ.)
A small conducting spherical shell with inner radius aa and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d (Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. What's the total charge on the inner surface of the small shell? What's the total charge on the outer surface of the small shell? What's the total charge on the inner surface of the large shell? What's the total charge on the outer surface of the large shell?
A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius cc and outer radius d (Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. What is the direction of the electric field for b<r<c? Calculate the magnitude of the electric field for c<r<d. Calculate the magnitude of the electric field for r>d.
Chapter 1 Solutions
University Physics Volume 3
Ch. 1 - Check Your Understanding Table 1.1 shows that...Ch. 1 - Check Your Understanding In Table 1.1, the solid...Ch. 1 - Check Your Understanding At the surface between...Ch. 1 - Check Your Understanding In the preceding example....Ch. 1 - Check Your Understanding in Example 1.6, we had...Ch. 1 - Check Your Understanding Although we did no...Ch. 1 - Check Your Understanding What happens at...Ch. 1 - Under what conditions can light be modeled like a...Ch. 1 - Why is the index of refraction always greater than...Ch. 1 - Does the fact that the light flash from lightning...
Ch. 1 - Speculate as to s1at physical process might be...Ch. 1 - Using the law of reflection, explain how powder...Ch. 1 - Diffusion by reflection from a rough surface is...Ch. 1 - Will 1igt change direction toward or away from the...Ch. 1 - Exp1ain why an object in water always appears to...Ch. 1 - Explain why a person’s legs appear very short when...Ch. 1 - Explain why an oar that is partially submerged in...Ch. 1 - A ring with a colorless gemstone is dropped into...Ch. 1 - The most common type of mirage is an illusion that...Ch. 1 - How can you use total internal reflection to...Ch. 1 - Is it possible that total internal reflection...Ch. 1 - A high-quality diamond may be quite clear and...Ch. 1 - How do wave effects depend on the size of the...Ch. 1 - Does Huygens’s principle apply to all types of...Ch. 1 - If diffraction is observed for some phenomenon, it...Ch. 1 - Can a sound wave in air be polarized? Explain.Ch. 1 - No light passes through two perfect polarizing...Ch. 1 - Explain what happens to the energy carried by...Ch. 1 - When particles scattering light are much smaller...Ch. 1 - Using the information given in the preceding...Ch. 1 - When light is reflected at Brewster’s angle from a...Ch. 1 - If you lie on a beach looking at the water with...Ch. 1 - What is the speed of light in water? In glycerine?Ch. 1 - What is the speed of light in air? In crown glass?Ch. 1 - Calculate the index of refraction for a medium in...Ch. 1 - In what substance in Table 1.1 is the speed of...Ch. 1 - There was a major collision of an asteroid with...Ch. 1 - Components of some computers communicate with each...Ch. 1 - Compare the time it takes for light to travel 1000...Ch. 1 - How far does light travel underwater during a time...Ch. 1 - Suppose a man stands in front of a mm-or as show...Ch. 1 - Show that when light reflects from two mirrors...Ch. 1 - On the Moon’s surface, lunar astronauts placed a...Ch. 1 - A flat mirror Is neither converging nor diverging....Ch. 1 - A light beam in air has an angle of incidence of...Ch. 1 - A light beam in air is incident on the surface of...Ch. 1 - When a light ray crosses from water into glass, it...Ch. 1 - A pencil flashlight submerged in water sends a...Ch. 1 - Light rays from the Sun make a 30° angle to the...Ch. 1 - The path of a light beam in air goes from an angle...Ch. 1 - A scuba diver training in a pool looks at his...Ch. 1 - (a) Using information in the preceding problem,...Ch. 1 - Verify that the critical angle for light going...Ch. 1 - (a) At the end of Example 1.4, it was stated that...Ch. 1 - An optical fiber uses flint glass clad with crown...Ch. 1 - At that minimum angle will you get total internal...Ch. 1 - Suppose you are using total internal reflection to...Ch. 1 - You can determine the index of refraction of a...Ch. 1 - A ray of light, emitted beneath the surface of an...Ch. 1 - Light rays fall normally on the vertical surface...Ch. 1 - (a) What is the ratio of the speed of red light to...Ch. 1 - A beam of white light goes from air into water at...Ch. 1 - By how much do the critical angles for red (660...Ch. 1 - (a) A narrow beam of light containing yellow (580...Ch. 1 - A parallel beam of light containing orange (610...Ch. 1 - A ray of 610-nm light goes from air into fused...Ch. 1 - A narrow beam of light containing red (660 nm) and...Ch. 1 - A narrow beam of white light enters a prism made...Ch. 1 - What angle is needed between the direction of...Ch. 1 - The angle been the axes of two polarizing filters...Ch. 1 - Two polarizing sheets P1 and P2 are placed...Ch. 1 - Suppose that in the preceding problem the light...Ch. 1 - If you have completely polarized light of...Ch. 1 - What angle would the axis of a polarizing filter...Ch. 1 - At the end of Example 17, it was stated that the...Ch. 1 - Show that if you have three polarizing filters,...Ch. 1 - Three polarizing sheets are placed together such...Ch. 1 - In order to rotate the polarization axis of a beam...Ch. 1 - It is found that when light traveling in water...Ch. 1 - At what angle ill lig1t reflected from diamond be...Ch. 1 - What is Brewster’s angle for light traveling in...Ch. 1 - A scuba diver sees light reflected from the...Ch. 1 - From his measurements, Roemer estimated that it...Ch. 1 - Cornu performed Fizeau’s measurement of the speed...Ch. 1 - Suppose you have an unknown clear substance...Ch. 1 - Shown below is a ray of light going from air...Ch. 1 - Considering the previous problem, show that 3is...Ch. 1 - At what angle is light inside crown glass...Ch. 1 - Light reflected at 55.6° from a window is...Ch. 1 - (a) Light reflected at 62.5° from a gemstone in a...Ch. 1 - If bis Brewster’s angle for light reflected from...Ch. 1 - Unreasonable results Suppose light travels from...Ch. 1 - Unreasonable results Light traveling from water to...Ch. 1 - If a polarizing filter reduces the intensity of...Ch. 1 - Suppose you put on two pairs of polarizing...Ch. 1 - (a) On a day when the intensity of sunlight is...Ch. 1 - Light shows staged with lasers use moving mirrors...Ch. 1 - Consider sunlight entering Earth’s atmosphere at...Ch. 1 - A light ray entering an optical fiber surrounded...Ch. 1 - A light ray falls on the left face of a prism (see...Ch. 1 - If the apex angle in the previous problem is 20.0°...Ch. 1 - The light incident on polarizing sheet P1is...Ch. 1 - Prove that if I is the intensity of light...
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