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- Substructure of the nucleus
Test prep for ap courses
A typical carbon nucleus contains 6 neutrons and 6 protons. The 6 protons are all positively charged and in very close proximity, with separations on the order of 10
-15 meters, which should result in an enormous repulsive force. What prevents the nucleus from dismantling itself due to the repulsion of the electric force?
- The attractive nature of the strong nuclear force overpowers the electric force.
- The weak nuclear force barely offsets the electric force.
- Magnetic forces generated by the orbiting electrons create a stable minimum in which the nuclear charged particles reside.
- The attractive electric force of the surrounding electrons is equal in all directions and cancels out, leaving no net electric force.
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Section summary
Conceptual questions
Problems&Exercises
Verify that a
mass of water at normal density would make a cube 60 km on a side, as claimed in
[link] . (This mass at nuclear density would make a cube 1.0 m on a side.)
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Find the length of a side of a cube having a mass of 1.0 kg and the density of nuclear matter, taking this to be
.
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Find the radius of a
nucleus.
is a manufactured nuclide that is used as a power source on some space probes.
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(a) Calculate the radius of
, one of the most tightly bound stable nuclei.
(b) What is the ratio of the radius of
to that of
, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than the size of an atom.
(a)
(b)
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The unified atomic mass unit is defined to be
. Verify that this amount of mass converted to energy yields 931.5 MeV. Note that you must use four-digit or better values for
and
.
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What is the ratio of the velocity of a
particle to that of an
particle, if they have the same nonrelativistic kinetic energy?
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If a 1.50-cm-thick piece of lead can absorb 90.0% of the
rays from a radioactive source, how many centimeters of lead are needed to absorb all but 0.100% of the
rays?
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The detail observable using a probe is limited by its wavelength. Calculate the energy of a
-ray photon that has a wavelength of
, small enough to detect details about one-tenth the size of a nucleon. Note that a photon having this energy is difficult to produce and interacts poorly with the nucleus, limiting the practicability of this probe.
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(a) Show that if you assume the average nucleus is spherical with a radius
, and with a mass of
u, then its density is independent of
.
(b) Calculate that density in
and
, and compare your results with those found in
[link] for
.
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What is the ratio of the velocity of a 5.00-MeV
ray to that of an
particle with the same kinetic energy? This should confirm that
s travel much faster than
s even when relativity is taken into consideration. (See also
[link] .)
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(a) What is the kinetic energy in MeV of a
ray that is traveling at
? This gives some idea of how energetic a
ray must be to travel at nearly the same speed as a
ray. (b) What is the velocity of the
ray relative to the
ray?
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Source:
OpenStax, College physics for ap® courses. OpenStax CNX. Nov 04, 2016 Download for free at https://legacy.cnx.org/content/col11844/1.14
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