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Consider a neutron that is inside an atomic nucleus of diameter 2 fm. [1 fm = 10^-15 m] (a) According to the Uncertainty Principle, what is the range of kinetic energies that this neutron can have? (You may treat the neutron non- relativistically. Express your answer in MeV ) (b) Suppose that the lifetime of this nucleus' first excited state is 3 x 10^-12 s (i.e., 3 picoseconds). Calculate the uncertainty in the energy of the gamma-ray photon emitted when this state decays back to the ground state. Does the ground state itself affect this uncertainty? Why or why not?

Consider a neutron that is inside an atomic nucleus of diameter 2 fm. [1 fm = 10^-15 m] (a) According to the Uncertainty Principle, what is the range of kinetic energies that this neutron can have? (You may treat the neutron non- relativistically. Express your answer in MeV ) (b) Suppose that the lifetime of this nucleus' first excited state is 3 x 10^-12 s (i.e., 3 picoseconds). Calculate the uncertainty in the energy of the gamma-ray photon emitted when this state decays back to the ground state. Does the ground state itself affect this uncertainty? Why or why not?

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Consider a neutron that is inside an atomic nucleus of diameter 2 fm. [1 fm = 10^-15 m] (a) According to the Uncertainty Principle, what is the range of kinetic energies that this neutron can have? (You may treat the neutron non- relativistically. Express your answer in MeV ) (b) Suppose that the lifetime of this nucleus' first excited state is 3 x 10^-12 s (i.e., 3 picoseconds). Calculate the uncertainty in the energy of the gamma-ray photon emitted when this state decays back to the ground state. Does the ground state itself affect this uncertainty? Why or why not?
Transcribed Image Text:Consider a neutron that is inside an atomic nucleus of diameter 2 fm. [1 fm = 10^-15 m] (a) According to the Uncertainty Principle, what is the range of kinetic energies that this neutron can have? (You may treat the neutron non- relativistically. Express your answer in MeV ) (b) Suppose that the lifetime of this nucleus' first excited state is 3 x 10^-12 s (i.e., 3 picoseconds). Calculate the uncertainty in the energy of the gamma-ray photon emitted when this state decays back to the ground state. Does the ground state itself affect this uncertainty? Why or why not?
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