Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 42, Problem 83P
To determine
To calculate:
the kinetic energy of a nucleon in a nucleus with A = 100
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Because a nucleon is confined to a nucleus, we can take the uncertainty in its position to be approximately the nuclear radius r. Use the uncertainty principle to determine the uncertainty p in the linear momentum of the nucleon. Using the approximation p =p and the fact that the nucleon is nonrelativistic, calculate the kinetic energy of the nucleon in a nucleus with A = 100.
A typical kinetic energy for a nucleon in a middle-mass nucleus may be taken as 5.00 MeV.To what effective nuclear temperature does this correspond, based on the assumptions of the collective model of nuclear structure?
An electron is emitted from a middle-mass nuclide (A = 150, say) with a kinetic energy of 1.0 MeV. (a) What is its de Broglie wavelength? (b) Calculate the radius of the emitting nucleus. (c) Can such an electron be confined as a standing wave in a “box” of such dimensions? (d) Can you use these numbers to disprove the (abandoned) argument that electrons actually exist in nuclei?
Chapter 42 Solutions
Fundamentals of Physics Extended
Ch. 42 - Prob. 1QCh. 42 - Prob. 2QCh. 42 - Prob. 3QCh. 42 - Prob. 4QCh. 42 - Prob. 5QCh. 42 - Prob. 6QCh. 42 - Prob. 7QCh. 42 - Prob. 8QCh. 42 - Prob. 9QCh. 42 - Prob. 10Q
Ch. 42 - Prob. 11QCh. 42 - Prob. 12QCh. 42 - a Which of the following nuclides are magic:...Ch. 42 - Prob. 14QCh. 42 - Prob. 15QCh. 42 - Prob. 1PCh. 42 - Prob. 2PCh. 42 - A 10.2 MeV Li nucleus is shot directly at the...Ch. 42 - Prob. 4PCh. 42 - Prob. 5PCh. 42 - Prob. 6PCh. 42 - Prob. 7PCh. 42 - Prob. 8PCh. 42 - Prob. 9PCh. 42 - Prob. 10PCh. 42 - Prob. 11PCh. 42 - Prob. 12PCh. 42 - Prob. 13PCh. 42 - Prob. 14PCh. 42 - Prob. 15PCh. 42 - Prob. 16PCh. 42 - Prob. 17PCh. 42 - Prob. 18PCh. 42 - Prob. 19PCh. 42 - Prob. 20PCh. 42 - Prob. 21PCh. 42 - Prob. 22PCh. 42 - Prob. 23PCh. 42 - A penny has a mass of 3.0 g. Calculate the energy...Ch. 42 - Prob. 25PCh. 42 - Prob. 26PCh. 42 - Prob. 27PCh. 42 - Prob. 28PCh. 42 - Prob. 29PCh. 42 - The half-life of a particular radioactive isotope...Ch. 42 - Prob. 31PCh. 42 - Prob. 32PCh. 42 - Prob. 33PCh. 42 - Calculate the mass of a sample of initially pure...Ch. 42 - Prob. 35PCh. 42 - Prob. 36PCh. 42 - Prob. 37PCh. 42 - A dose of 8.60 Ci of a radioactive isotope is...Ch. 42 - Prob. 39PCh. 42 - Prob. 40PCh. 42 - Prob. 41PCh. 42 - Prob. 42PCh. 42 - Prob. 43PCh. 42 - Prob. 44PCh. 42 - Prob. 45PCh. 42 - Prob. 46PCh. 42 - Prob. 47PCh. 42 - Prob. 48PCh. 42 - Prob. 49PCh. 42 - Prob. 50PCh. 42 - Prob. 51PCh. 42 - Prob. 52PCh. 42 - Prob. 53PCh. 42 - Prob. 54PCh. 42 - Prob. 55PCh. 42 - Prob. 56PCh. 42 - Prob. 57PCh. 42 - Prob. 58PCh. 42 - Prob. 59PCh. 42 - Prob. 60PCh. 42 - Prob. 61PCh. 42 - Prob. 62PCh. 42 - Prob. 63PCh. 42 - Prob. 64PCh. 42 - Prob. 65PCh. 42 - Prob. 66PCh. 42 - Prob. 67PCh. 42 - Prob. 68PCh. 42 - Prob. 69PCh. 42 - Prob. 70PCh. 42 - Prob. 71PCh. 42 - Prob. 72PCh. 42 - Prob. 73PCh. 42 - Prob. 74PCh. 42 - Prob. 75PCh. 42 - Prob. 76PCh. 42 - Prob. 77PCh. 42 - Prob. 78PCh. 42 - Prob. 79PCh. 42 - Prob. 80PCh. 42 - Prob. 81PCh. 42 - Prob. 82PCh. 42 - Prob. 83PCh. 42 - Prob. 84PCh. 42 - Prob. 85PCh. 42 - Prob. 86PCh. 42 - Prob. 87PCh. 42 - Characteristic nuclear time is a useful but...Ch. 42 - Prob. 89PCh. 42 - Using a nuclidic chart, write the symbols for a...Ch. 42 - If the unit for atomic mass were defined so that...Ch. 42 - Prob. 92PCh. 42 - Prob. 93PCh. 42 - Prob. 94PCh. 42 - Prob. 95PCh. 42 - Prob. 96PCh. 42 - Prob. 97P
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- (a) Calculate the radius of 58Ni, one of the most tightly bound stable nuclei. (b) What is the ratio of the radius of 58Ni to that at 258Ha, one of the largest nuclei ever made? Note that the radius of the largest nucleus is still much smaller than ?le size of an atom.arrow_forward(a) Show that if you assume the average nucleus is spherical with a radius r=r0A1/3, and with a mass at A u, then its density is independent at A. (b) Calculate that density in u/fm3 and kg/m3, and compare your results with those found in Example 31.1 for 56Fe.arrow_forward(a) Write the decay equation for the decay of 235U. (b) What energy is released in this decay? The mass of the daughter nuclide is 231.036298 u. (c) Assuming the residual nucleus is formed in its ground state, how much energy goes to the particle?arrow_forward
- No stable nuclides exist that have Z greater than ___. (10.3)arrow_forward(a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?arrow_forwardThe electrical power output of a large nuclear reactor facility is 900 MW. It has a 35.0% efficiency in converting nuclear power to electrical. (a) What is the thermal nuclear power output in megawatts? (b) How many 235U nuclei fission each second, assuming the average fission produces 200 MeV? (c) What mass of 235U is fissioned in one year of fullpower operation?arrow_forward
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