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r 5. What is the probability of finding the electron within distance r of the proton in the ground state of the hydrogen atom? What is the probability for r = 20, the first Bohr radius? (10 points) 6. A particle trapped in a potential well of depth V, at an energy level of E is said to possess a binding energy Eo=V-E; this is the amount of energy one would have to supply to the particle to free it from the well. A deuteron is a nucleus formed by the bonding of a neutron and a proton under the action of nuclear forces. Assume that the corresponding potential can be modeled as a finite spherical well of radius a=2x10-15 m and the deuteron acts as a single particle of mass equivalent to the reduced mass of the neutron/proton pair. Assume further that the deuteron is in an l=0 ground state. Experimentally, the deuteron has a binding energy of 2.23 MeV. What is the depth of the potential well? (10 points) a