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60 pts. Please explain in words:
A) Max Planck’s idea
B) Bohr’s hypothesis
C) Broglie’s idea A\ W :15 06W. OSaLbUd'er 4:8; cook/Lox '
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60 pts. A) Sketch the Coulomb potential for He+ andH on the same graph.
B) Calculate the ionization energies for both and explain why the values are different.
C) Sketch the ground and ﬁrst excited states radial wave functions (on the same graph as the potential in part A) for both He+ and H and clearly show
the differences between them. III)
80 pts. A particle of mass 9.1x10'31 kg is constrained to move in 1-D square well potential V(y)
with L=0.53x10'” m. A) What are the boundary conditions for all regions in this potential and sketch
the potential energy diagram. B) Calculate the wavelength of a transition between the ground and ﬁrst excited
states. Which part of the spectrum does this transition correspond to? C) Sketch and explain (i.e., where is the particle most likely to be found, or not
found) the shapes of the ground and excited states radial probability densities. Va) ”0/
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- Fall '10