We can approximate the 232Th nucleus as a one-dimensional infinite square well RoA¹/3, where Ro = 1.2 fm and A is the atomic with length L equal to the nuclear radius R = mass number. (a) What is the length of this infinite square well? What is the ground state energy of a proton (which has mass m₂ = 938.3 MeV/c²) in this infinite square well? (b) 232Th has 90 protons and 142 neutrons. Assume that all these protons and neutrons trapped in the infinite square well. How many energy levels of this infinite square well contain protons? How many energy levels contain neutrons?

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ts) We can approximate the 232Th nucleus as a one-dimensional infinite square well
with length L equal to the nuclear radius R = R₁A¹/3, where Ro = 1.2 fm and A is the atomic
mass number.
(a) What is the length of this infinite square well? What is the ground state energy of a
proton (which has mass m₂ = 938.3 MeV/c²) in this infinite square well?
(b) 232Th has 90 protons and 142 neutrons. Assume that all these protons and neutrons
trapped in the infinite square well. How many energy levels of this infinite square well
contain protons? How many energy levels contain neutrons?
Transcribed Image Text:ts) We can approximate the 232Th nucleus as a one-dimensional infinite square well with length L equal to the nuclear radius R = R₁A¹/3, where Ro = 1.2 fm and A is the atomic mass number. (a) What is the length of this infinite square well? What is the ground state energy of a proton (which has mass m₂ = 938.3 MeV/c²) in this infinite square well? (b) 232Th has 90 protons and 142 neutrons. Assume that all these protons and neutrons trapped in the infinite square well. How many energy levels of this infinite square well contain protons? How many energy levels contain neutrons?
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