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superposition of two or more waves moving in opposite directions. The waves move through each other with their disturbances adding as they go by. If the two waves have the same amplitude and wavelength, then they alternate between constructive and destructive interference. Standing waves created by the superposition o... |
direction of a wave when it bounces off a barrier, such as a fixed end. When the wave hits the fixed end, it changes direction, returning to its source. As it is reflected, the wave experiences an inversion, which means that it flips vertically. If a wave hits the fixed end with a crest, it will return as a trough, an... |
a superposition of two waves to form a resultant wave with longer or shorter wavelength. 16. Is the following statement true or false? The two types of interference are constructive and destructive interferences. a. True b. False 17. What are standing waves? a. Waves that appear to remain in one place and do not seem ... |
in which the disturbance is parallel to another medium with a different density standing wave wave made by the superposition of two waves of the same amplitude and wavelength moving in opposite directions and which appears to vibrate in place superposition phenomenon that occurs when two or more to the direction of pr... |
. • A standing wave is a wave produced by the superposition of two waves. It varies in amplitude but does not propagate. • The nodes are the points where there is no motion in standing waves. • An antinode is the location of maximum amplitude of a standing wave. Inversion occurs when a wave reflects from a fixed end. •... |
one cycle the time that a wave takes to complete two cycles the time that a wave takes to complete four cycles 8. When the period of a wave increases, what happens to its frequency? a. b. c. Its frequency decreases. Its frequency increases. Its frequency remains the same. 13.3 Wave Interaction: Superposition and Inter... |
called? a. L-wave b. P-wave c. S-wave d. R-wave 13.2 Wave Properties: Speed, Amplitude, Frequency, and Period 18. If the horizontal distance, that is, the distance in the direction of propagation, between a crest and the adjacent trough of a sine wave is 1 m, what is the wavelength of the wave? a. 0.5 m b. 1 m c. 2 m ... |
ull sitting in water bobs up and down once every 2 seconds and the distance between two crests of the water wave is 3 m, what is the velocity of the wave? 1.5 m/s a. 3 m/s b. c. 6 m/s Performance Task 13.3 Wave Interaction: Superposition and Interference 27. Ocean waves repeatedly crash against beaches and coasts. Thei... |
P-waves a. 31. With reference to waves, what is a disturbance? It refers to the resistance produced by some particles of a material. It refers to an oscillation produced by some energy b. 33. If you are in a boat at a resting position, how much will your height change when you are hit by the peak of a wave with a heig... |
are propagating along the same line in opposite directions d. The cone of a speaker vibrates to create small changes in the resistance of the air. 43. Give an example of a non-mechanical wave. a. A radio wave is an example of a nonmechanical wave. b. A sound wave is an example of a nonmechanical wave. 45. What kind of... |
bird will go up and down a distance of 0.4 m. It will do this twice per second. b. The bird will go up and down a distance of 0.2 m. It will do this twice per second. c. The bird will go up and down a distance of 0.4 m. It will do this once per second. d. The bird will go up and down a distance of 0.2 m. It will do th... |
along the same line superimpose. 58. Is this statement true or false? The amplitude of one wave is affected by the amplitude of another wave only when they are precisely aligned. a. True b. False 59. Why does a standing wave form on a guitar string? a. due to superposition with the reflected waves from the ends of the... |
motion and moves with the wave in its direction. d. The gull experiences mostly up-and-down motion but does not move in the direction of the wave. 67. Why does a good-quality speaker have a woofer and a tweeter? a. In a good-quality speaker, sounds with high frequencies or short wavelengths are reproduced accurately b... |
. The standing waves of great amplitudes are formed in places farther away from the epicenter. d. The pulse waves of great amplitude are formed in places farther away from the epicenter. 72. Why does an object appear to be distorted when you Chapter 13 • Test Prep 413 view it through a glass of water? a. The glass and ... |
the end of this section, you will be able to do the following: • Relate the characteristics of waves to properties of sound waves • Describe the speed of sound and how it changes in various media • Relate the speed of sound to frequency and wavelength of a sound wave Section Key Terms rarefaction sound Properties of S... |
energy is converted to thermal energy in the air. Figure 14.4 shows a graph of gauge pressure versus distance from the vibrating string. From this figure, you can see that the compression of a longitudinal wave is analogous to the peak of a transverse wave, and the rarefaction of a longitudinal wave is analogous to th... |
more slowly than light does. (Dominic Alves, Flickr) Sound, like all waves, travels at certain speeds through different media and has the properties of frequency and wavelength. Sound travels much slower than light—you can observe this while watching a fireworks display (see Figure 14.6), since the flash of an explosi... |
to view content (https://www.openstax.org/l/28sound) 420 Chapter 14 • Sound This simulation lets you see sound waves. Adjust the frequency or amplitude (volume) and you can see and hear how the wave changes. Move the listener around and hear what she hears. Switch to the Two Source Interference tab or the Interference... |
how the sheet moves. Interpret the results. 4. GRASP CHECK Which sound wave property increases when you are speaking more loudly than softly? a. amplitude of the wave frequency of the wave b. speed of the wave c. Access for free at openstax.org. 14.1 • Speed of Sound, Frequency, and Wavelength 421 d. wavelength of the... |
.8 shows a bat using echolocation to sense distances. Echolocating animals identify an object by comparing the relative intensity of the sound waves returning to each ear to figure out the angle at which the sound waves were reflected. This gives information about the direction, size and shape of the object. Since ther... |
when a sound wave passes through it? a. Simple harmonic motion Access for free at openstax.org. 14.2 • Sound Intensity and Sound Level 423 b. Circular motion c. Random motion d. Translational motion 5. What does the speed of sound depend on? a. The wavelength of the wave b. The size of the medium c. The frequency of t... |
is 14.6 where ρis the density of the material in which the sound wave travels, in units of kg/m3, and vis the speed of sound in the medium, in units of m/s. Pressure amplitude has units of pascals (Pa) or N/m2. Note that Δpis half the difference between the maximum and minimum pressure in the sound wave. We can see fr... |
10 dB. For example, a 90 dB sound compared with a 60 dB sound is 30 dB greater, or three factors of 10 (that is, 103 times) as intense. Another example is that if one sound is 107 as intense as another, it is 70 dB higher. Since βis defined in terms of a ratio, it is unit-less. The unit called decibel (dB) is used to ... |
pressure and 0ºC. (2) Enter these values and the pressure amplitude into. (3) Enter the value for Iand the known value for I0 into decibels.. Calculate to find the sound intensity level in 426 Chapter 14 • Sound Discussion This 87.0 dB sound has an intensity five times as great as an 80 dB sound. So a factor of five i... |
and close rhythmically, creating a pressure buildup. As air travels up and past the vocal cords, it causes them to vibrate. This vibration escapes the mouth along with puffs of air as sound. A voice changes in pitch when the muscles of the larynx relax or tighten, changing the tension on the vocal chords. A voice beco... |
ate, they vibrate the cochlea, which contains fluid. This creates pressure waves in the fluid that cause the tectorial membrane to vibrate. The motion of the tectorial membrane stimulates tiny cilia on specialized cells called hair cells. These hair cells, and their attached neurons, transform the motion of the tectori... |
A-sharp, C, or E-flat. Some people can identify musical notes just by listening to them. This rare ability is called perfect, or absolute, pitch. When a violin plays middle C, there is no mistaking it for a piano playing the same note. The reason is that each instrument produces a distinctive set of frequencies and in... |
b. c. d. to to to 14. How do humans change the pitch of their voice? a. Relaxing or tightening their glottis b. Relaxing or tightening their uvula c. Relaxing or tightening their tongue d. Relaxing or tightening their larynx References Nave, R. Vocal sound production—HyperPhysics. Retrieved from http://hyperphysics.ph... |
in the direction it’s traveling away from. Therefore, the wavelength is shorter in the direction the source is moving (on the right in Figure 14.15), and longer in the opposite direction (on the left in Figure 14.15). Finally, if the observers move, as in Figure 14.16, the frequency at which they receive the compressi... |
ppler effect visually. Click to view content (https://www.openstax.org/l/28doppler) GRASP CHECK If you are standing on the sidewalk facing the street and an ambulance drives by with its siren blaring, at what point will the frequency that you observe most closely match the actual frequency of the siren? a. when it is c... |
in approaches zero. This result means that at the speed of sound, in front of the source, each wave is superimposed on the previous one because the source moves forward at the speed of sound. The observer gets them all at the same instant, and so the frequency is theoretically infinite. If the source exceeds the speed... |
l/28doppleraway) GRASP CHECK Sal uses two different formulas for the Doppler effect-one for when the source is moving toward the observer and another for when the source is moving away. However, in this textbook we use only one formula. Explain. a. The combined formula that can be used is, Use ( source is moving away f... |
to be.) a. b. c. d. Check Your Understanding 17. What is the Doppler effect? a. The Doppler effect is a change in the observed speed of a sound due to the relative motion between the source and the observer. b. The Doppler effect is a change in the observed frequency of a sound due to the relative motion between the s... |
frequency damping fundamental harmonics natural frequency overtones resonance resonate Resonance and Beats Sit in front of a piano sometime and sing a loud brief note at it while pushing down on the sustain pedal. It will sing the same note back at you—the strings that have the same frequencies as your voice, are reso... |
it oscillates only at the desired station’s broadcast (driving) frequency. Also, a child on a swing is driven (pushed) by a parent at the swing’s natural frequency to reach the maximum amplitude (height). In all of these cases, the efficiency of energy transfer from the driving force into the oscillator is best at res... |
view content (https://www.openstax.org/l/28interference) Access for free at openstax.org. 14.4 • Sound Interference and Resonance 437 For this activity, switch to the Sound tab. Turn on the Sound option, and experiment with changing the frequency and amplitude, and adding in a second speaker and a barrier. GRASP CHECK... |
, and no displacement (a 438 Chapter 14 • Sound node) at the closed end. Recall from the last chapter on waves that motion is unconstrained at the antinode, and halted at the node. The distance from a node to an antinode is one-fourth of a wavelength, and this equals the length of the tube; therefore,. This same resona... |
and human voices) their distinctive characteristics, whether they have air columns, strings, or drumheads. In fact, much of our speech is determined by shaping the cavity formed by the throat and mouth and positioning the tongue to adjust the fundamental and combination of overtones. Open-Pipe and Closed-Pipe Resonator... |
s, what should be the length of a tube closed at one end to have a fundamental frequency of 128 Hz? 440 Chapter 14 • Sound Strategy The length Lcan be found by rearranging the equation. Solution (1) Identify knowns. • The fundamental frequency is 128 Hz. • The speed of sound is 344 m/s. (2) Use to find the fundamental ... |
either or. Solving for f1, Substituting in values, So, 14.19 14.20 14.21 Discussion The piano tuner might not initially be able to tell simply by listening whether the frequency of the piano is too high or too low and must tune it by trial and error, making an adjustment and then testing it again. If there are even mo... |
a. b. c. d. If the tuning fork vibrates at a frequency twice that of the natural frequency of the air column. If the tuning fork vibrates at a frequency lower than the natural frequency of the air column. If the tuning fork vibrates at a frequency higher than the natural frequency of the air column. If the tuning fork... |
than sound intensity (in W/m2), even though sound intensity is the SI unit. • Sound intensity level is not the same as sound intensity—it tells you the levelof the sound relative to a reference intensity rather than the actual intensity. • Hearing is the perception of sound and involves that transformation of sound wa... |
are KEY EQUATIONS 14.1 Speed of Sound, Frequency, and Wavelength speed of sound 14.2 Sound Intensity and Sound Level intensity sound intensity sound intensity level CHAPTER REVIEW Concept Items 14.1 Speed of Sound, Frequency, and Wavelength 1. What is the amplitude of a sound wave perceived by the loudness human ear? ... |
from other sound. down is greater than the amplitude of the yo-yo b. when the amplitude of the finger moving up and down is less than the amplitude of the yo-yo c. when the frequency of the finger moving up and d. Timbre is the wavelength of the sound that down is equal to the resonant frequency of the yo-yo distingui... |
frequency is the frequency at which a system oscillates when it undergoes damped oscillation. c. The natural frequency is the frequency at which a system oscillates when it undergoes free vibration without a driving force or damping. d. The natural frequency is the frequency at which a system oscillates when it underg... |
directly. 17. How can humming while shooting a gun reduce ear damage? a. Humming can trigger those two muscles in the outer ear that react to intense sound produced while shooting and reduce the force transmitted to the cochlea. b. Humming can trigger those three muscles in the outer ear that react to intense sound pr... |
.4 Sound Interference and Resonance 22. When does the amplitude of an oscillating system become maximum? a. When two sound waves interfere destructively. b. When the driving force produces a transverse wave in the system. c. When the driving force of the oscillator to the oscillating system is at a maximum amplitude. d... |
3 Doppler Effect and Sonic Booms 29. An ambulance is moving away from you. You are standing still and you hear its siren at a frequency of. You know that the actual frequency of the siren. What is the speed of the ambulance?.) is (Assume the speed of sound to be a. b. c. d. 30. An ambulance passes you at a speed of. If... |
. The amplitude of a sound wave decreases with distance from its source, because the wavelength of the sound wave increases. d. The amplitude of a sound wave decreases with distance from its source, because the energy of the wave is spread over a larger and larger area. 38. Does the elasticity of the medium affect the ... |
a. The source and the observer are moving towards each other. b. The observer is moving toward the source. c. The source is moving away from the observer. d. Neither the source nor the observer is moving relative to one another. 45. What does the occurrence of the sonic boom depend on? speed of the source a. b. freque... |
intensity cannot even hear what the person next to you is saying. Why is this so? a. The sound from the passing car’s stereo has a higher amplitude and hence higher intensity compared to the intensity of the sound coming from the person next to you. The higher intensity corresponds to greater loudness, so the first so... |
nerve 65. Why do some smaller instruments, such as piccolos, produce higher-pitched sounds than larger instruments, such as tubas? a. Smaller instruments produce sounds with shorter wavelengths, and thus higher frequencies. b. Smaller instruments produce longer wavelength, and thus higher amplitude, sounds. c. Smaller... |
a. nodes and antinodes or antinodes and object is traveling at supersonic speeds. nodes. 70. Suppose you are driving at a speed of and you.? hear the sound of a bell at a frequency of What is the actual frequency of the bell if the speed of sound is a. b. c. d. 71. What is the frequency of a stationary sound source if... |
ardrum. 14.1 Speed of Sound, Frequency, and Wavelength 80. How is a human able to hear sounds? a. Sound waves cause the eardrum to vibrate. A complicated mechanism converts the vibrations to nerve impulses, which are perceived by the person as sound. b. Sound waves cause the ear canal to vibrate. A complicated mechanis... |
in their sound intensity levels in dB? a. b. c. d. 86. Which of the following most closely models how sound is produced by the vocal cords? a. A person plucks a string. b. A person blows over the mouth of a half-filled glass bottle. c. A person strikes a hammer against a hard surface. d. A person blows through a small... |
occur. b. The frequency formed is a harmonic and second overtone so resonance will occur. 92. True or false—An open-pipe resonator has more overtones than a closed-pipe resonator. a. False b. True 93. A flute has finger holes for changing the length of the resonating air column, and therefore, the frequency of the not... |
support life, provide heat, and cause weather patterns. Light is a form of electromagnetic radiation (EMR). The term lightusually refers to visible light, but this is not the only form of EMR. As we will see, visible light occupies a narrow band in a broad range of types of electromagnetic radiation. Electromagnetic r... |
light. c. Radio waves fall on the short-wavelength side of visible light. d. Radio waves fall on the low-frequency side of visible light. Access for free at openstax.org. 15.1 • The Electromagnetic Spectrum 457 Figure 15.2 A part of the electromagnetic wave sent out from an oscillating charge at one instant in time. T... |
79) is regarded widely to have been the greatest theoretical physicist of the 458 Chapter 15 • Light nineteenth century. Although he died young, Maxwell not only formulated a complete electromagnetic theory, represented by Maxwell’s equations, he also developed the kinetic theory of gases, and made significant contribu... |
screen (see Figure 15.4). Figure 15.4 Maxwell and Sutton’s photograph of a colored ribbon. This was the first durable color photograph. The plaid tartan of the Scots made a colorfulphotographic subject. GRASP CHECK Describe electromagnetic force as explained by Maxwell’s equations. a. According to Maxwell’s equations,... |
a very narrow range, considering that the EM spectrum spans about 20 orders of magnitude. Figure 15.5 A small part of the electromagnetic spectrum that includes its visible components. The divisions between infrared, visible, and ultraviolet are not perfectly distinct, nor are the divisions between the seven rainbow c... |
eye called cones. Humans have three cones that are sensitive to three different ranges of electromagnetic wavelengths. They are called red, blue, and green cones, although these colors do not correspond exactly to the centers of the three ranges. The ranges of wavelengths that each cone detects are red, 500 to 700 nm;... |
different. We might forget that nearly all of our food depends on the photosynthesis process in plants, and that the energy for this process comes from the visible part of the spectrum. Without photosynthesis, we would also have almost no oxygen in the atmosphere. The low-frequency, infrared region of the spectrum has... |
amount of exposure. Most people try to reduce exposure to UV radiation from sunlight by using sunscreen and protective clothing. Physicians still use X-rays to diagnose medical problems, but the intensity of the radiation used is extremely low. Figure 15.8 shows an X-ray image of a patient’s chest cavity. One medical-... |
of Electromagnetic Radiation 463 c. only a magnetic field, but no electric field d. only an electric field, but no magnetic field 15.2 The Behavior of Electromagnetic Radiation Section Learning Objectives By the end of this section, you will be able to do the following: • Describe the behavior of electromagnetic radia... |
topic in the chapter on diffraction and interference. Figure 15.9 shows the result of thin film interference on the surface of soap bubbles. Because ray 2 travels a greater distance, the two rays become out of phase. That is, the crests of the two emerging waves are no longer moving together. This causes interference,... |
polarized waves. Light can also be polarized by reflection. Most of the light reflected from water, glass, or any highly reflective surface is polarized horizontally. Figure 15.11 shows the effect of a polarizing lens on light reflected from the surface of water. Access for free at openstax.org. 15.2 • The Behavior of... |
P CHECK If you buy sunglasses in a store, how can you be sure that they are polarized? a. When one pair of sunglasses is placed in front of another and rotated in the plane of the body, the light passing through the sunglasses will be blocked at two positions due to refraction of light. b. When one pair of sunglasses i... |
be discussed in a later chapter. Since frequency is inversely proportional to wavelength, we also know that wavelength is inversely proportional to energy. Keep these relationships in mind as general rules. The rate at which light is radiated from a source is called luminous flux, P, and it is measured in lumens (lm).... |
.14 r= 2.00 m Solution Substitute the known values into the equation. Discussion Try some other distances to illustrate how greatly light fades with distance from its source. For example, at 3 m the illuminance is only 17.7 lux. Parents often scold children for reading in light that is too dim. Instead of shouting, “Yo... |
differences between waves lumens unit of measure for luminous flux luminous flux rate at which light is radiated from a source interrelationship between electric and magnetic fields, and how these fields combine to form electromagnetic radiation polarized light light whose electric field component vibrates in a specif... |
of gamma rays on the electromagnetic spectrum. 470 Chapter 15 • Chapter Review a. At the high-frequency and long-wavelength end of the spectrum b. At the high-frequency and short-wavelength end of thickness of the wall of a soap bubble? Explain your answer. a. The thickness of the bubble wall is ten times that of the ... |
absorbed and reflected light. a. A. The yellow section of the wheel will look blue because it will reflect blue light and absorb red Access for free at openstax.org. d. The thickness of the bubble wall equals the cube of the wavelength of light. 7. Bright sunlight is reflected from an icy pond. You look at the glare o... |
the light waves. d. A. infrared rays B. The infrared rays have lower frequencies and longer wavelengths than the light waves. 11. Overexposure to this range of EM radiation is dangerous, and yet it is used by doctors to diagnose medical problems. Part A—Identify the type of radiation. Part B—Locate the position of thi... |
. X-rays have high energies because of their high frequencies, and so can penetrate matter to greater depths. 15.2 The Behavior of Electromagnetic Radiation 12. Explain how thin-film interference occurs. Discuss in terms of the meaning of interference and the pathways of light waves. a. For a particular thickness of fi... |
. Observe colors of visible light, and relate each color to its corresponding wavelength. Comparison with the magnitudes of visible light wavelength will give an appreciation of just how very thin a thin film is. Thin-film interference has a number of practical applications, such as anti-reflection coatings and optical... |
, such as a baking tray • Small volumes of motor oil, lighter fluid or a penetrating oil of the type used to loosen rusty bolts, and cooking oil • Water • A camera a. Thin-film interference causes colors to appear on the surface of a thin transparent layer. Do you expect to see a pattern to the colors? b. How could you... |
d. 9.46 × 1012 km 24. How does the illuminance of light change when the distance from the light source is tripled? Cite the relevant equation and explain how it supports your answer. a. if distance is tripled, then the illuminance increases by 19 times. b. c. d. if distance is tripled, then the illuminance decreases b... |
in the food we eat. a. Sunlight is converted into chemical energy by plants; this energy is released when we digest food. b. Sunlight is converted into chemical energy by animals; this energy is released when we digest food. c. Sunlight is converted into chemical energy by fish; this energy is released when we digest ... |
. Violet light has a higher frequency and shorter wavelength than red light. infrared radiation B. Access for free at openstax.org. subtractive colors. Part A—Which of these colors of light are reflected from magenta? Part B—Which of these colors of light are reflected from yellow? Part C—Which these colors of light ar... |
, and into the virtual world. In this chapter we examine the optical meanings of real and virtual, as well as other concepts that make up the field of optics. The light from this page or screen is formed into an image by the lens of your eyes, much as the lens of the camera that made the photograph at the beginning of ... |
as laser rays (or even science fiction depictions of ray guns). Figure 16.2 Three methods for light to travel from a source to another location are shown. (a) Light reaches the upper atmosphere of Earth by traveling through empty space directly from the source (the Sun). (b) This light can reach a person in one of two... |
hand, has a smooth surface and reflects light at specific angles. Figure 16.3 The law of reflection states that the angle of reflection, θr, equals the angle of incidence, θi. The angles are measured relative to the line perpendicular to the surface at the point where the ray strikes the surface. The incident and refl... |
plin. The chase scene takes place in a mirror maze. You may have seen such a maze at an amusement park or carnival. Finding your way through the maze can be very difficult. Keep in mind that only one image in the picture is real—the others are virtual. Figure 16.6 Charlie Chaplin is in a mirror maze. Which image is rea... |
of the spoon is a convex mirror. Observe your image on both sides of the spoon. TIPS FOR SUCCESS You can remember the difference between concave and convex by thinking, Concave means caved in. Ray diagrams can be used to find the point where reflected rays converge or appear to converge, or the point from which rays a... |
mirrors. Snap Lab Concave and Convex Mirrors • Silver spoon and silver polish, or a new spoon made of any shiny metal Instructions Procedure 1. Choose any small object with a top and a bottom, such as a short nail or tack, or a coin, such as a quarter. Observe the object’s reflection on the back of the spoon. 2. Obser... |
the magnification of the secondary mirror. The result is a telescope with a focal length much greater than the length of the telescope itself. Figure 16.12 This diagram shows the design of a Schmidt–Cassegrain telescope. A parabolic concave mirror has the very useful property that all light from a distant source, on r... |
, ho, hi,and fin this figure. This equation can be rearranged several ways. For example, it may be written to solve for focal length. Magnification, m, is the ratio of the size of the image, hi, to the size of the object, ho. The value of mcan be calculated in two ways. This relationship can be written to solve for any... |
of curvature of the mirror, so that its focal length is f= R/2 = 25.0 cm (a positive value, because the mirror is concave, or converging). We can use the lens/mirror equation to solve this problem. Solution Because diand fare known, the lens/mirror equation can be used to find do. Rearranging to solve for do, we have ... |
surface becomes irregular, and an irregular surface produces a sharp image. c. The surface becomes smooth, and a smooth surface transmits light, but does not reflect it. d. The surface becomes irregular, and an irregular surface produces a blurred image. 5. An object is placed in front of a concave mirror at a distanc... |
does light change direction when passing from one material (medium) to another? It is because light changes speed when going from one material to another. This behavior is typical of all waves and is especially easy to apply to light because light waves have very small wavelengths, and so they can be treated as rays. ... |
.544 Table 16.2 Indices of Refraction The table lists the indices of refraction for various materials that are transparent to light. Note, that light travels the slowest in the materials with the greatest indices of refraction. 490 Chapter 16 • Mirrors and Lenses Medium n Zircon 1.923 Table 16.2 Indices of Refraction T... |
to grass (medium 2). (b) A ray of light moves away from the perpendicular when it speeds up. This is analogous to what happens when a lawnmower goes from grass (medium 2) to the footpath (medium 1). The paths are exactly reversible. Snap Lab Bent Pencil A classic observation of refraction occurs when a pencil is place... |
2 are the indices of refraction for media 1 and 2, respectively, and θ1 and θ2 are the angles between the rays and the perpendicular in the respective media 1 and 2, as shown in Figure 16.17. The incoming ray is called the incident rayand the outgoing ray is called the refracted ray. The associated angles are called th... |
2 • Refraction 493 A good-quality mirror reflects more than 90 percent of the light that falls on it; the mirror absorbs the rest. But, it would be useful to have a mirror that reflects all the light that falls on it. Interestingly, we can produce total reflection using an aspect of refraction. Consider what happens wh... |
written for a light ray that travels in medium 1 and reflects from medium 2, as shown in Figure 16.20., and it can only occur when the second There are several important applications of total internal reflection. Total internal reflection, coupled with a large index of refraction, explains why diamonds sparkle more th... |
critical angle and, thus, be totally reflected (Figure 16.23). The index of refraction outside the fiber must be smaller than inside, a condition that is satisfied easily by coating the outside of the fiber with a material that has an appropriate refractive index. In fact, most fibers have a varying refractive index t... |
you through calculations based on the application of the equation that represents Snell’s law. Click to view content (https://www.openstax.org/l/28Snellslaw) Which two types of variables are included in Snell’s law? a. The two types of variables are density of a material and the angle made by the light ray with the no... |
gives us nfor water as 1.333. All we have to do before solving the problem is rearrange the equation 16.2 • Refraction 497 Solution 16.11 16.12 The best match from Table 16.2 is fused quartz, with n= 1.458. Discussion Note the relative sizes of the variables involved. For example, a larger angle has a larger sine valu... |
�s law. d. This is Newton’s law. 9. Explain why the index of refraction is always greater than or equal to one. a. The formula for index of refraction,, of a material is where, so is always greater than one. b. The formula for index of refraction,, of a material is where, so is always greater than one. c. The formula f... |
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