Question 6
A particle is moving in a one-dimensional infinite potential well. In the ground state, the energy of the particle is 1.4 eV. Calculate the energy, in eV, of its first excited state.
Question 7
Calculate the ground-state energy, in MeV, of a neutron (mn = 939.6 MeV/c^2) confined to a 7.25-fm long one-dimensional nucleus.
Question 8
An electron is trapped in an infinite potential energy well with walls at x = 0 and x = 1 nm. Consider the probability to find the electron in a narrow region in the center of the well between x = 0.49 nm and x = 0.51 nm. Is the probability to find the electron in this region when the electron is in its ground state greater than, less than, or equal to the probability to find the electron in this same region when it is in the first excited state? Explain your answer.