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Physics
Instructor Solution Manual for Fundamentals of Physics
3576 SOLVED PROBLEMS
Question: 40.38
Here are the Kα wavelengths of a few elements: Make a Moseley plot (like that in Fig. 40-16) from these data and verify that its slope agrees with the value given for C in Module 40-6. ...
Verified Answer:
From the data given in the problem, we calculate f...
Question: 40.37
Show that a moving electron cannot spontaneously change into an x-ray photon in free space. A third body (atom or nucleus) must be present.Why is it needed? (Hint: Examine the conservation of energy and momentum.) ...
Verified Answer:
Suppose an electron with total energy E and moment...
Question: 40.39
Calculate the ratio of the wavelength of the Kα line for niobium (Nb) to that for gallium (Ga).Take needed data from the periodic table of Appendix G. ...
Verified Answer:
THINK The frequency of an x-ray emission is propor...
Question: 42.7
What is the nuclear mass density ρm of (a) the fairly low-mass nuclide ^55Mn and (b) the fairly high-mass nuclide ^209Bi? (c) Compare the two answers, with an explanation. What is the nuclear charge density ρq of (d) ^55Mn and (e) ^209Bi? (f) Compare the two answers, with an explanation. ...
Verified Answer:
For
^{55}
Mn the mass density is [la...
Question: 40.40
(a) From Eq. 40-26, what is the ratio of the photon energies due to Kα transitions in two atoms whose atomic numbers are Z and Z′? (b) What is this ratio for uranium and aluminum? (c) For uranium and lithium? ...
Verified Answer:
(a) According to Eq. 40-26,
f \propto(Z-1)...
Question: 42.48
How much energy is released when a ^238U nucleus decays by emitting (a) an alpha particle and (b) a sequence of neutron, proton, neutron, proton? (c) Convince yourself both by reasoned argument and by direct calculation that the difference between these two numbers is just the total binding energy ...
Verified Answer:
(a) The nuclear reaction is written as
{ }...
Question: 40.41
The binding energies of K-shell and L-shell electrons in copper are 8.979 and 0.951 keV, respectively. If a Kα x ray from copper is incident on a sodium chloride crystal and gives a first-order Bragg reflection at an angle of 74.1° measured relative to parallel planes of sodium atoms, what is the ...
Verified Answer:
We use Eq. 36-31, Eq. 39-6, and hc = 1240 eV·nm = ...
Question: 42.46
The radioactive nuclide ^99Tc can be injected into a patient’s bloodstream in order to monitor the blood flow, measure the blood volume, or find a tumor, among other goals. The nuclide is produced in a hospital by a “cow” containing ^99Mo, a radioactive nuclide that decays to ^99Tc with a half-life ...
Verified Answer:
(a) Molybdenum beta decays into technetium: [latex...
Question: 40.42
From Fig. 40-13, calculate approximately the energy difference EL – EM for molybdenum. Compare it with the value that may be obtained from Fig. 40-15. ...
Verified Answer:
Using hc = 1240 eV·nm = 1240 keV·pm, the energy di...
Question: 42.43
A radioactive sample intended for irradiation of a hospital patient is prepared at a nearby laboratory. The sample has a half-life of 83.61 h. What should its initial activity be if its activity is to be 7.4 × 10^8 Bq when it is used to irradiate the patient 24 h later? ...
Verified Answer:
Using Eq. 42-16 with Eq. 42-18, we find the initia...
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