We have potential of
V (x) = ( 0, 0 ≤ x ≤ a.
  ∞, elsewhere.
a) Find the ground state energy and the first and second excitedstates, if an electron is enclosed in this potential of size a =0.100 nm.
b) Find the ground state energy and the first and second excitedstates, if a 1 g metal sphere is enclosed in this potential of sizea = 10.0 cm.
c) Are the quantum effects important for both systems? Explainwhy or why not.
d) Use the uncertainty principle to estimate the velocities ofthe electron and the metal sphere.
