Conceptual Questions

14.1 Radiation Detection and Detectors

1

Is it possible for light emitted by a scintillator to be too low in frequency to be used in a photomultiplier tube? Explain.

14.2 Substructure of the Nucleus

2

The weak and strong nuclear forces are basic to the structure of matter. Why we do not experience them directly?

3

Define and make clear distinctions between the terms neutron, nucleon, nucleus, nuclide, and neutrino.

4

What are isotopes? Why do different isotopes of the same element have similar chemistries?

14.3 Nuclear Decay and Conservation Laws

5

Star Trek fans have often heard the term antimatter drive. Describe how you could use a magnetic field to trap antimatter, such as produced by nuclear decay, and later combine it with matter to produce energy. Be specific about the type of antimatter, the need for vacuum storage, and the fraction of matter converted into energy.

6

What conservation law requires an electron’s neutrino to be produced in electron capture? Note that the electron no longer exists after it is captured by the nucleus.

7

Neutrinos are experimentally determined to have an extremely small mass. Huge numbers of neutrinos are created in a supernova at the same time as massive amounts of light are first produced. When the 1987A supernova occurred in the Large Magellanic Cloud, visible primarily in the Southern Hemisphere and some 100,000 light-years away from Earth, neutrinos from the explosion were observed at about the same time as the light from the blast. How could the relative arrival times of neutrinos and light be used to place limits on the mass of neutrinos?

8

What do the three types of beta decay have in common that is distinctly different from alpha decay?

14.4 Half-Life and Activity

9

In a 3×109-year-old3×109-year-old size 12{3 times "10" rSup { size 8{9} } } {} rock that originally contained some 238U,238U, which has a half-life of 4.5×1094.5×109 years, we expect to find some 238U238U remaining in it. Why are 226Ra,226Ra, 222Rn,222Rn, and 210Po210Po also found in such a rock, even though they have much shorter half-lives—1,600 years, 3.8 days, and 138 days, respectively?

10

Does the number of radioactive nuclei in a sample decrease to exactly half its original value in one half-life? Explain in terms of the statistical nature of radioactive decay.

11

Radioactivity depends on the nucleus and not the atom or its chemical state. Why, then, is one kilogram of uranium more radioactive than one kilogram of uranium hexafluoride?

12

Explain how a bound system can have less mass than its components. Why is this not observed classically, say for a building made of bricks?

13

Spontaneous radioactive decay occurs only when the decay products have less mass than the parent, and it tends to produce a daughter that is more stable than the parent. Explain how this is related to the fact that more tightly bound nuclei are more stable. Consider the binding energy per nucleon.

14

To obtain the most precise value of BE from the equation BE=ZM1H+Nmnc2mAXc2,BE=ZM1H+Nmnc2mAXc2, size 12{"BE=" left lbrace left [ ital "ZM" left ("" lSup { size 8{1} } H right )+ ital "Nm" rSub { size 8{n} } right ]-m left ("" lSup { size 8{A} } X right ) right rbrace c rSup { size 8{2} } } {} we should take into account the binding energy of the electrons in the neutral atoms. Will doing this produce a larger or smaller value for BE? Why is this effect usually negligible?

15

How does the finite range of the nuclear force relate to the fact that BE/ABE/A size 12{ {"BE"} slash {A} } {} is greatest for AA size 12{A} {} near 60?

14.5 Binding Energy

16

Why is the number of neutrons greater than the number of protons in stable nuclei having AA greater than about 40, and why is this effect more pronounced for the heaviest nuclei?

14.6 Tunneling

17

A physics student caught breaking conservation laws is imprisoned. She leans against the cell wall hoping to tunnel out quantum mechanically. Explain why her chances are negligible. This is so in any classical situation.

18

When a nucleus αα decays, does the ααparticle move continuously from inside the nucleus to outside? That is, does it travel each point along an imaginary line from inside to out? Explain.