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Physics & Astronomy
Study Set
Physics for Scientists
Exam 44: Nuclear Structure
Path 4
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Question 1
Multiple Choice
When a nucleus at rest spontaneously splits into fragments of mass m
1
and m
2
, the ratio of the momentum of m
1
to the momentum of m
2
is
Question 2
Multiple Choice
The ratio of the radius of a classical electron (r
e
= k
e
e
2
/m
e
c
2
= 2.8 × 10−
15
m) to the radius of a
4
He nucleus (r = r
0
A
1/3
) is
Question 3
Multiple Choice
A radioactive sample with decay rate R and decay energy Q has power output
Question 4
Multiple Choice
Find the binding energy per nucleon (in MeV/nucleon) of carbon-12. Assume: M
C
= 12.000 000 u M
p
= 1.007 825 u M
n
= 1.008 665 u U = 1.66 × 10−
27
kg
Question 5
Multiple Choice
Two isotopes of uranium have the same
Question 6
Short Answer
The radiocarbon content of
14
C decreases after the death of a living system with a half-life of 5730 y. If an archaeologist working a dig finds an ancient firepit containing some partially consumed firewood and the wood contains only 12.5 percent of the
14
C content of an equal carbon sample from a present-day tree, what is the age of the ancient site?
Question 7
Multiple Choice
The isotope, tritium, has a half-life of 12.3 years. Assume we have 10 kg of the substance. What will be the disintegration constant (in s−
1
) ?
Question 8
Essay
The mass of
is 55.9349 u and the mass of
is 55.939 9 u. Which isobar decays into the other, and by what 2 possible processes?
Question 9
Multiple Choice
An alpha particle is emitted from a radioactive source with an energy of 5 MeV. How fast is it moving (in m/s) ? (m = 4.002 603 u, 1 u = 1.66 × 10−
27
kg.)
Question 10
Multiple Choice
In neutron capture by an atomic nucleus, the mass number of the nucleus changes by
Question 11
Short Answer
A pure sample of
226
Ra contains 2.0 × 10
14
atoms of the isotope. If the half-life of
226
Ra = 1.6 × 10
3
years, what is the decay rate of this sample? (1 Ci = 3.7 × 10
10
decays/s)