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Conceptual Physics

Paul G. Hewitt

Chapter 33

The Atomic Nucleus and Radioactivity - all with Video Answers

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Chapter Questions

02:05

Problem 1

What did Roentgen discover about a cathode-ray beam striking a glass surface?

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01:16

Problem 2

What kind of rays are X-rays?

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01:37

Problem 3

What did the Becquerel discover about uranium?

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00:30

Problem 4

What two elements did Pierre and Marie Curie discover?

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01:31

Problem 5

Why aren’t gamma rays deflected in a magnetic field?

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00:33

Problem 6

Which has the higher frequency: X-rays or gamma rays?

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01:45

Problem 7

Distinguish between a rad and a rem.

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00:46

Problem 8

Do humans receive more radiation from artificial or from natural sources of radiation?

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01:37

Problem 9

Is the human body radioactive? Explain.

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02:14

Problem 10

What is a radioactive tracer?

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00:52

Problem 11

Name the two different nucleons.

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01:45

Problem 12

Why doesn’t the repulsive electrical force of protons in the atomic nucleus cause the protons to fly apart?

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01:49

Problem 13

Why is a larger nucleus generally less stable than a smaller nucleus?

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01:42

Problem 14

What is the role of neutrons in the atomic nucleus?

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01:24

Problem 15

Which contains the higher percentage of neutrons: large nuclei or small nuclei?

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01:34

Problem 16

How does the rate of decay of a long-half-life material normally compare with the rate of decay of a short-half-life material?

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00:35

Problem 17

What is the half-life of Ra-226?

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01:20

Problem 18

What kind of trail is left when an energetic particle shoots through matter?

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00:45

Problem 19

Which type of detector senses radiation by the ionization of gas in a tube?

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02:04

Problem 20

Which type of detector senses flashes of light produced by charged particles or gamma rays?

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02:11

Problem 21

What is transmutation?

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00:58

Problem 22

When thorium (atomic number 90) decays by emitting an alpha particle, what is the atomic number of the resulting nucleus?

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01:24

Problem 23

When thorium decays by emitting a beta particle, what is the atomic number of the resulting nucleus?

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01:31

Problem 24

What is the change in the atomic mass number for each of the reactions in the preceding two questions?

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02:24

Problem 25

What change in atomic number occurs when a nucleus emits an alpha particle? A beta particle? A gamma ray?

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00:56

Problem 26

What is the long-range fate of all the uranium that exists in the world?

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00:50

Problem 27

When, and by whom, did the first successful intentional transmutation of an element occur?

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00:39

Problem 28

What occurs when a nitrogen nucleus captures an extra neutron?

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00:26

Problem 29

Which is more prevalent in the food we eat: carbon-12 or carbon-14?

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02:15

Problem 30

Why is lead found in all deposits of uranium ore?

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03:03

Problem 31

Write a letter to one of your favorite relatives that will help dispel any notion they may have about radioactivity being something new in the world. Briefly discuss the role of radioactivity in dating ancient objects. Also discuss how radioactivity is a major source of natural heat in Earth’s interior, and cite its role in hot springs and volcanoes.

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02:18

Problem 32

If a sample of a radioactive isotope has a half-life of 1 year, how much of the original sample will be left at the end of the second year? At the end of the third year? At the end of the fourth year?

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02:45

Problem 33

A sample of a particular radioisotope is placed near a Geiger counter, which is observed to register 160 counts per minute. Eight hours later, the detector counts at a rate of 10 counts per minute. What is the half-life of the material?

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03:52

Problem 34

The isotope cesium-137, which has a half-life of 30 years, is a product of nuclear power plants. Show that it will take 120 years for this isotope to decay to about one-sixteenth its original amount.

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00:46

Problem 35

At 6:00 am a hospital uses its cyclotron to make 1 milligram of the isotope fluorine-18 for use as a diagnostic tool with its PET scanner. The half-life of F-18 is 1.8 hours. How much F-18 is left at 3:00 pm? At midnight? Should the hospital plan to make more F-18 the next morning?

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02:23

Problem 36

Suppose you measure the intensity of radiation from carbon-14 in an ancient piece of wood to be 6% of what it would be in a freshly cut piece of wood. Show that this artifact is 23,000 years old.

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00:25

Problem 37

Suppose you want to find out how much gasoline is in an underground storage tank. You pour in 1 gallon of gasoline that contains some radioactive material with a long half-life that gives off 5000 counts per minute. The next day, you remove a gallon from the underground tank and measure its radioactivity to be 10 counts per minute. How much gasoline is in the tank?

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00:40

Problem 38

Rank these three types of radiation by their ability to penetrate this page of your book, from greatest penetration to least:
a. Alpha particle
b. Beta particle
c. Gamma ray

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04:36

Problem 39

Consider these three nuclei: A. Th-233; B. U-235; C. U-238. From most to least, rank them by the number of
a. protons in the nucleus.
b. neutrons in the nucleus.
c. electrons that normally surround the nucleus.

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03:42

Problem 40

Consider the following reactions: A. uranium-238 emits an alpha particle; B. plutonium-239 emits an alpha particle; C. thorium-239 emits a beta particle.
a. Rank the resulting nucleus by atomic number, from highest to lowest.
b. Rank the resulting nucleus by the number of neutrons, from most to least.

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02:49

Problem 41

In the 19th century, the famous physicist Lord Kelvin estimated the age of Earth to be much less than the present estimate. What information that Kelvin did not have might have allowed him to avoid making his erroneous estimate?

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00:52

Problem 42

X-rays are most similar to which of the following: alpha, beta, or gamma rays?

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01:29

Problem 43

Gamma radiation is fundamentally different from alpha and beta radiation. What is this basic difference?

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01:05

Problem 44

Why is a sample of radioactive material always a little warmer than its surroundings?

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02:03

Problem 45

Some people say that all things are possible. Is it at all possible for a common hydrogen nucleus to emit an alpha particle? Defend your answer.

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02:37

Problem 46

Why are alpha and beta rays deflected in opposite directions in a magnetic field? Why aren’t gamma rays deflected?

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Problem 47

The alpha particle has twice the electric charge of the beta particle but, for the same kinetic energy, deflects less than the beta in a magnetic field. Why is this so?

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01:43

Problem 48

How do the paths of alpha, beta, and gamma rays compare in an electric field?

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01:57

Problem 49

Which type of radiation—alpha, beta, or gamma—produces the greatest change in mass number when emitted by an atomic nucleus? Which produces the greatest change in atomic number?

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01:11

Problem 50

Which type of radiation—alpha, beta, or gamma—produces the least change in mass number? In atomic number?

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00:33

Problem 51

Which type of radiation—alpha, beta, or gamma—predominates within an enclosed elevator descending into a uranium mine?

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01:34

Problem 52

In bombarding atomic nuclei with proton “bullets,” why must the protons be accelerated to high energies if they are to make contact with the target nuclei?

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01:16

Problem 53

Just after an alpha particle leaves the nucleus, would you expect it to speed up? Defend your answer.

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00:48

Problem 54

What do all isotopes of the same element have in common? How do they differ?

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01:10

Problem 55

Why would you expect alpha particles, with their greater charge, to be less able to penetrate into materials than beta particles of the same energy?

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01:01

Problem 56

Two protons in an atomic nucleus repel each other, but they are also attracted to each other. Explain.

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01:44

Problem 57

Which interaction tends to hold the particles in an atomic nucleus together, and which interaction tends to push them apart?

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02:45

Problem 58

What evidence supports the contention that the strong nuclear interaction can dominate over the electrical interaction at short distances within the nucleus?

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01:42

Problem 59

Can it be truthfully stated that whenever a nucleus emits an alpha or beta particle, it necessarily becomes the nucleus of another element?

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00:38

Problem 60

Exactly what is a positively charged hydrogen atom?

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01:43

Problem 61

Why do different isotopes of the same element have the same chemical properties?

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02:14

Problem 62

Radiation from a point source obeys the inverse-square law. If a Geiger counter 1 m from a small sample registers 360 counts per minute, what will be its counting rate 2 m from the source? What will it be 3 m from the source?

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02:03

Problem 63

Why do the charged particles flying through bubble chambers travel in spiral paths rather than in the circular or helical paths they might ideally follow?

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00:44

Problem 64

What two quantities are always conserved in all nuclear equations?

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00:59

Problem 65

If an atom has 100 electrons, 157 neutrons, and 100 pro- tons, what is its approximate atomic mass? What is the name of this element?

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01:31

Problem 66

When a $_{88}^{266} \mathrm{Ra}$ nucleus decays by emitting an alpha particle, what is the atomic number of the resulting nucleus? What is the resulting atomic mass number?

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01:23

Problem 67

When a nucleus of $_{84}^{218} \mathrm{Po}$ emits a beta particle, it transforms into the nucleus of a different element. What are the atomic number and the atomic mass number of this "daughter" element?

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01:18

Problem 68

When a nucleus of $_{84}^{218} \mathrm{Po}$ emits an alpha particle, what are the atomic number and the atomic mass number of the resulting element?

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01:01

Problem 69

Which has the greater number of protons: U-235 or U-238? Which has the greater number of neutrons?

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02:23

Problem 70

State the number of neutrons and protons in each of these nuclei: $_{1}^{2} \mathrm{H}$ $_{6}^{12} C,_{26}^{56} \mathrm{Fe}$ $_{79}^{197} \mathrm{Au}$ $,_{38}^{90} \mathrm{Sr},$ and $^{238}_{92} \mathrm{U}$

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01:11

Problem 71

How is it possible for an element to decay “forward in the periodic table”—that is, to decay to an element with a higher atomic number?

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01:40

Problem 72

How could an element emit alpha and beta particles and result in the same element?

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01:15

Problem 73

When radioactive phosphorus (P) decays, it emits a positron. Will the resulting nucleus be another isotope of phosphorus? If not, what will it be?

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00:43

Problem 74

“Strontium-90 is a pure beta source.” How could a physicist test this statement?

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01:32

Problem 75

A friend suggests that nuclei are composed of equal numbers of protons and electrons, and not neutrons. What evidence can you cite to show that your friend is mistaken?

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00:37

Problem 76

Radium-226 is a common isotope on Earth, but it has a half-life of about 1600 years. Given that Earth is some 5 billion years old, why is there any radium left at all?

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00:38

Problem 77

Your friend says that the helium used to inflate balloons is a product of radioactive decay. Another friend disagrees. With whom do you agree?

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00:43

Problem 78

Another friend, fretful about living near a fission power plant, wishes to get away from radiation by traveling to the high mountains and sleeping at night on granite outcroppings. Comment on this.

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00:44

Problem 79

Still another friend has journeyed to the mountain foothills to escape the effects of radioactivity altogether. While bathing in the warmth of a natural hot spring, she wonders aloud how the spring gets its heat. What do you tell her?

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00:34

Problem 80

A friend produces a Geiger counter to check the local normal background radiation. It clicks randomly but repeatedly. Another friend, whose tendency is to fear most that which is least understood, makes an effort to avoid Geiger counters and looks to you for advice. What do you say?

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01:49

Problem 81

Why is carbon dating ineffective in finding the ages of dinosaur bones?

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01:05

Problem 82

Is carbon dating appropriate for measuring the age of materials that are a few years old? A few thousand years old? A few million years old?

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00:26

Problem 83

The age of the Dead Sea Scrolls was found by carbon dating. Could this technique apply if they were carved in stone tablets? Explain.

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02:56

Problem 84

Make up two multiple-choice questions to check a classmate’s understanding of radioactive dating.

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01:56

Problem 85

If you make an account of 1000 people born in the year 2000 and find that half of them are still living in 2060, does this mean that one-quarter of them will be alive in 2120 and one-eighth of them alive in 2180? What is different about the death rates of people and the “death rates” of radioactive atoms?

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00:42

Problem 86

Judging from Figure 33.22, how many alpha and beta particles are emitted in the series of radioactive decay events from a U-238 nucleus to a Pb-206 nucleus? Does it matter which path is followed?

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02:51

Problem 87

Elements above uranium in the periodic table do not exist in any appreciable amounts in nature because they have short half-lives. Yet there are several elements below uranium in atomic number with equally short half-lives that do exist in appreciable amounts in nature. How can you account for this?

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01:31

Problem 88

Although coal contains only minute quantities of radioactive materials, there is more radiation emitted by a coal-fired power plant than a fission power plant simply because of the vast amount of coal that is burned in coal fired plants. What does this indicate about methods of preventing the release of radioactivity that are typically implemented at the two kinds of power plants?

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01:09

Problem 89

When food is irradiated with gamma rays from a cobalt-60 source, does the food become radioactive? Defend your answer.

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01:07

Problem 90

When the author attended high school some 60 years ago, his teacher showed a piece of uranium ore and measured its radioactivity with a Geiger counter. Would that reading for the same piece of ore be different today?

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