An infinite square well of size L is going to contain one particle in the ground state: a proton, a neutron, or an electron. (a) The particle with the highest energy would be the ---Select--- . (b) The particle with the lowest energy would be the ---Select--- (c) What is the ratio to the highest of these energies to the lowest? Ehigh/Elow= (d) Now imagine that the infinite square well is diminished by a large factor, say, from size L down to size L/435. How much would the energy of a single particle increase (or decrease) due to this shrinking of the box? Enew/Eold = (e) During a type II supernova, the core of a star, initially about the size of the Earth (R = 6370 km) and containing equal numbers of protons, neutrons, and electrons, shrinks to something about R = 14.6 km in radius. As this occurs, there is a new process that starts happening: proton electron neutron (there is also a neutrino which is irrelevant for our purposes). The double arrow indicates that this process can go either direction. Which direction will this process go in an attempt to decrease the energy? Assuming this process goes to completion, what will the final star look like?
An infinite square well of size L is going to contain one particle in the ground state: a proton, a neutron, or an electron. (a) The particle with the highest energy would be the ---Select--- . (b) The particle with the lowest energy would be the ---Select--- (c) What is the ratio to the highest of these energies to the lowest? Ehigh/Elow= (d) Now imagine that the infinite square well is diminished by a large factor, say, from size L down to size L/435. How much would the energy of a single particle increase (or decrease) due to this shrinking of the box? Enew/Eold = (e) During a type II supernova, the core of a star, initially about the size of the Earth (R = 6370 km) and containing equal numbers of protons, neutrons, and electrons, shrinks to something about R = 14.6 km in radius. As this occurs, there is a new process that starts happening: proton electron neutron (there is also a neutrino which is irrelevant for our purposes). The double arrow indicates that this process can go either direction. Which direction will this process go in an attempt to decrease the energy? Assuming this process goes to completion, what will the final star look like?
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Transcribed Image Text:An infinite square well of size L is going to contain one particle in the ground state: a proton, a neutron, or an electron.
(a) The particle with the highest energy would be the ---Select--- .
(b) The particle with the lowest energy would be the ---Select---
(c) What is the ratio to the highest of these energies to the lowest?
Ehigh/Elow=
(d) Now imagine that the infinite square well is diminished by a large factor, say, from size L down to size L/435. How much would the energy of a single particle increase (or decrease) due to this
shrinking of the box?
Enew/Eold =
(e) During a type II supernova, the core of a star, initially about the size of the Earth (R = 6370 km) and containing equal numbers of protons, neutrons, and electrons, shrinks to something about R =
14.6 km in radius. As this occurs, there is a new process that starts happening:
proton electron neutron
(there is also a neutrino which is irrelevant for our purposes). The double arrow indicates that this process can go either direction. Which direction will this process go in an attempt to decrease the
energy? Assuming this process goes to completion, what will the final star look like?
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