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Conceptual Physics

Paul G. Hewitt

Chapter 30

Light Emission - all with Video Answers

Educators


Chapter Questions

00:49

Problem 1

Electrons made to vibrate to and fro at a few hundred thousand hertz emit radio waves. What class of waves is emitted from electron vibrations of a few million billion hertz?

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02:22

Problem 2

What does it mean to say an energy state is discrete?

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00:41

Problem 3

Which has more potential energy relative to the nucleus: electrons in inner electron shells or electrons in outer electron shells?

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02:15

Problem 4

In a neon tube, what occurs immediately after an atom is excited?

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02:47

Problem 5

How does the difference in energy between energy levels relate to the energy of the photon that is emitted by a transition between those levels?

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01:09

Problem 6

How is the energy of a photon related to its vibrational frequency?

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00:41

Problem 7

Which has the higher frequency: red or blue light? Which has the greater energy per photon: red or blue light?

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01:13

Problem 8

Can a neon atom in a glass tube be excited more than once? Explain.

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01:28

Problem 9

What do the various colors displayed in the flame of a burning log indicate?

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02:27

Problem 10

Which puts out the greater percentage of its energy as light: an incandescent lamp or a mercury-vapor lamp?

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01:37

Problem 11

What is a spectroscope, and what does it accomplish?

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01:41

Problem 12

When a gas glows, discrete colors are emitted. When a solid glows, the colors are smudged. Why?

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00:34

Problem 13

How is the peak frequency of emitted light related to the temperature of its incandescent source?

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01:44

Problem 14

How does an absorption spectrum differ in appearance from an emission spectrum?

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01:12

Problem 15

What are Fraunhofer lines?

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02:44

Problem 16

How can astrophysicists tell whether a star is receding or approaching Earth?

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01:08

Problem 17

Why is ultraviolet light, but not infrared light, effective in making certain materials fluoresce?

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04:19

Problem 18

Distinguish between fluorescence and phosphorescence.

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01:30

Problem 19

What is a metastable state?

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01:30

Problem 20

Why is argon, instead of air, used inside an incandescent bulb?

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01:10

Problem 21

Distinguish between the primary and secondary excitation processes that occur in a fluorescent lamp.

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01:33

Problem 22

How does the lifetime of a typical CFL compare with the lifetime of an incandescent bulb?

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01:41

Problem 23

How does the lifetime of a typical LED compare with the liferime of an incandescent bulh?

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02:05

Problem 24

Distinguish between monochromatic light and sunlight.

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02:30

Problem 25

Distinguish between coherent light and sunlight.

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02:42

Problem 26

How does the avalanche of photons in a laser beam differ from the hordes of photons emitted by an incandescent lamp?

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01:21

Problem 27

Chat with or write a letter to Grandma to explain how light is emitted from lamps, flames, and lasers. Tell
her why fluorescent dyes and paints are so impressively vivid when illuminated with an ultraviolet lamp. Go on to tell her about the higher efficiencies of CFLs and LEDs.

AG
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01:43

Problem 28

Borrow a diffraction grating from your physics instructor. The common kind looks like a photographic slide, and light passing through it or reflecting from it is diffracted into its component colors by thousands of finely ruled lines. Look through the grating at the light from a sodium-vapor street lamp. If it’s a low-pressure lamp, you’ll see the nice yellow spectral “line” that dominates sodium light (actually, it’s two closely spaced lines). If the street lamp is round, you’ll see circles instead of
lines; if you look through a slit cut in cardboard or some similar material, you’ll see lines. What happens with the now common high-pressure sodium lamps is more interesting. Because of the collisions of excited atoms, you’ll see a smeared-out spectrum that is nearly continuous, almost like that of an incandescent lamp. Right at the yellow location, where you’d expect to see the sodium
line, is a dark area. This is the sodium absorption band. It is due to the cooler sodium, which surrounds the high-pressure emission region. You should view this a block or so away so that the line, or circle, is small enough to allow the resolution to be maintained. Try this. It is very easy to see!

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06:05

Problem 29

In the diagram, the energy difference between states $A$ and $B$ is twice the energy difference between states $B$ and C. In a transition (quantum jump) from $C$ to $B,$ an electron emits a photon of wavelength 600 nm.

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01:37

Problem 30

Why is a gamma-ray photon more energetic than an X-ray photon?

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00:55

Problem 31

Have you ever watched a fire and noticed that the burning of various materials often produces flames of different colors? Why is this so?

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02:02

Problem 32

Green light is emitted when electrons in a substance make a particular energy-level transition. If blue light were instead emitted from the same substance, would it correspond to a greater or lesser change of energy in the atom?

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02:20

Problem 33

Ultraviolet light causes sunburns, whereas visible light, even of greater intensity, does not. Why is this so?

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01:50

Problem 34

If we double the frequency of light, we double the energy of each of its photons. If we instead double the wave- length of light, what happens to the photon energy?

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01:24

Problem 35

Why doesn't a neon sign finally "run out" of atoms to excite and produce dimmer and dimmer light?

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00:57

Problem 36

An investigator wishes spectral lines in a spectrum to be thin crescents. What change in the spectroscope will accomplish this?

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00:56

Problem 37

If light were passed through a round hole instead of a thin slit in a spectroscope, how would the spectral "lines" appear? What is the drawback of a hole in comparison with a slit?

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01:23

Problem 38

If we use a prism or a diffraction grating to compare the red light from a common neon tube and the red light from a helium-neon laser, what striking difference do we see?

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01:07

Problem 39

What is the evidence for the claim that iron exists in the relatively cool outer layer of the Sun?

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01:45

Problem 40

How might the Fraunhofer lines in the spectrum of sun- light that are due to absorption in the Sun's atmosphere be distinguished from those due to absorption by gases in Earth's atmosphere?

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02:30

Problem 41

In what specific way does light from distant stars and galaxies tell astronomers that atoms throughout the uni-verse have the same properties as those on Earth?

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01:11

Problem 42

What difference does an astronomer see between the emission spectrum of an element in a receding star and a spectrum of the same element in the lab? (Hint: This relates to frequency measurements for a moving wave source.)

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01:11

Problem 43

A blue-hot star is about twice as hot as a red-hot star. But the temperatures of the gases in advertising signs are about the same, whether they emit red or blue light. Whar is wour explanation?

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00:44

Problem 44

Which has the greatest energy: a photon of infrared light, of visible light, or of ultraviolet light?

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01:59

Problem 45

Does atomic excitation occur in solids as well as in gases? How does the radiant energy from an incandescent solid differ from the radiant energy emitted by an excited gas?

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02:23

Problem 46

Low-pressure sodium-vapor lamps emit line spectra with well-defined wavelengths, but high-pressure sodium- vapor lamps emit light whose lines are more spread out. Relate this to the continuous smear of wavelengths emit- ted by solids.

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01:28

Problem 47

A lamp filament is made of tungsten. Why do we get a continuous spectrum rather than a tungsten line spectrum when light from an incandescent lamp is viewed with a spectroscope?

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02:23

Problem 48

How can a hydrogen atom, which has only one electron, have so many spectral lines?

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00:40

Problem 49

Since an absorbing gas re-emits the light it absorbs, why are there dark lines in an absorption spectrum? That is, why doesn't the re-emitted light simply fill in the dark places?

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02:02

Problem 50

If atoms of a substance absorb ultraviolet light and emit red light, what becomes of the "missing" energy?

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01:26

Problem 51

(a) Light from an incandescent source is passed through sodium vapor and then examined with a spectroscope. What is the appearance of the spectrum? (b) The incan- descent source is switched off and the sodium is heated until it glows. How does the spectrum of the glowing sodium compare with the previously observed spectrum?

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02:22

Problem 52

Your friend reasons that if ultraviolet light can activate the process of fluorescence, infrared light ought to also. Your friend looks to you for approval or disapproval of this idea. What is your position?

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02:05

Problem 53

When ultraviolet light falls on certain dyes, visible light is emitted. Why doesn't this happen when infrared light falls on these dyes?

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00:56

Problem 54

Why are fabrics that fluoresce when exposed to ultraviolet light so bright in sunlight?

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01:02

Problem 55

Why do different fluorescent minerals emit different colors when illuminated with ultraviolet light?

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01:42

Problem 56

Some doors have spring-and-damper combinations so they close slowly when released. How is this similar to phosphorescence?

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02:01

Problem 57

When a certain material is illuminated with visible light, electrons jump from lower to higher energy states in atoms of the material. When illuminated by ultraviolet light, atoms are ionized as some of them electrons. Why do the two kinds of illumination produce such different results?

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01:08

Problem 58

To keep chickens warm in a chicken coop, why would a CFL be a poor choice compared with an incandescent bulb?

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01:36

Problem 59

Why are LEDs the lamps of choice in hard-to-get-to places, such as high ceilings?

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01:21

Problem 60

What color results when a red and a green LED shine together?

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02:00

Problem 61

Cite at least two reasons for predicting that LEDs will eventually be more popular than CFLs.

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01:44

Problem 62

The forerunner to the laser involved microwaves rather than visible light. What does the word maser mean?

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01:25

Problem 63

The first laser consisted of a red ruby rod activated by a photoflash tube that emitted green light. Why wouldn't a laser composed of a green crystal rod and a photo flash tube that emits red light work?

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01:56

Problem 64

How do the avalanches of photons in a laser beam differ from the hordes of photons emitted by an incandescent lamp?

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01:25

Problem 65

In the operation of a helium-neon laser, why is it important that the metastable state of helium be relatively long-lived? (What would be the effect of this state de-exciting too rapidly?) (Refer to Figure $30.22 .$ )

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01:51

Problem 66

In the operation of a helium-neon laser, why is it important that the metastable state in the helium atom closely match the energy level of a more-difficult-to-come-by metastable state in neon?

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01:40

Problem 67

A friend speculates that scientists in a certain country= have developed a laser that produces far more energy than is put into it and asks for your response. What is your response?

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02:02

Problem 68

A laser cannot produce more energy than is put into it. A laser can, however, produce pulses of light that have more power output than the power input required to run the laser. Explain.

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01:04

Problem 69

In the equation $\overline{f} \sim T,$ what do the symbols $\overline{f}$ and $T$ represent?

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01:30

Problem 70

We know that an incandescent lamp filament at 2500 $\mathrm{K}$ radiates white light. Does the lamp filament also radiate energy when it is at room temperature?

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02:12

Problem 71

We know that the Sun radiates energy. Does Earth similarly radiate energy? If so, what is different about their radiations?

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01:26

Problem 72

Since every object has some temperature, every object radiates energy. Why, then, can't we see objects in the dark?

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01:21

Problem 73

Going back to Chapter $16,$ since all bodies radiate energy, why don't all bodies become cooler?

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01:47

Problem 74

If we continue heating a piece of initially room-temperature metal in a dark room, it will begin to glow visibly. What will be its first visible color, and why?

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00:38

Problem 75

How do the surface temperatures of reddish, bluish, and whitish stars compare?

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02:50

Problem 76

Sketch (a) shows a radiation curve of an incandescent solid and its spectral pattern as produced with a spectroscope. Sketch (b) shows the “radiation curve” of an excited gas and its emission spectral pattern. Sketch (c) shows the curve produced when a cool gas is between an incandescent source and the viewer; the corresponding spectral pattern is left as an exercise for you to construct. Sketch (d) shows the spectral pattern of an incandescent source as seen through a piece of green glass; you are to sketch in the corresponding radiation curve.

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01:03

Problem 77

Elements at the Sun's surface are revealed in the solar spectrum. Are the lines in the spectrum those of emission or absorption?

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03:11

Problem 78

Consider just four of the energy levels in a certain atom, as shown in the diagram below. How many
spectral lines will result from all possible transitions among these levels? Which transition corresponds to the highest-frequency light emitted? To the lowest- frequency light emitted?
$$
\begin{array}{l}{n=4} \\ {n=3} \\ {n=2}\end{array}
$$

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01:52

Problem 79

An electron de-excites from the fourth quantum level in the diagram of the preceding question to the third and then directly to the ground state. Two photons are emitted. How does the sum of their frequencies compare with the frequency of the single photon that would be emitted by de-excitation from the fourth level directly to the ground state?

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03:27

Problem 80

For the transitions described in the preceding exercise, is there any relationship among the wavelengths of the emitted photons?

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01:37

Problem 81

Suppose the four energy levels in question 78 were somehow evenly spaced. How many spectral lines would result?

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01:33

Problem 82

A laboratory laser has a power of only $0.8 \mathrm{mW}, 8 \times 10^{-4} \mathrm{W}$ . Why does it seem more powerful than light from a $100-\mathrm{W}$ lamp?

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01:01

Problem 83

We can heat a piece of metal to red-hot and then to white-hot. Can we heat it until the metal glows blue-hot?

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01:48

Problem 84

If you see a red-hot star, you can be certain that its peak intensity is in the infrared region. Why is this?

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01:21

Problem 85

If you see a "violet-hot" star, you can be certain its peak intensity is in the ultraviolet range. Why is this?

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02:25

Problem 86

We perceive a "green-hot" star not as green but as white. Why? (Hint: Consider the radiation curve back in Figures 27.7 and $27.8,$ and in Figure 30.7 .

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