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20. For the following normalized real wavefunctions, Ψ_A(x), Ψ_B(x) and Ψ_C(x), versus x for a particle in which of the following statements are correct? (A) The wavefunction Ψ_B(x) will yield the largest value for ⟨x⟩. (B) The wavefunction Ψ_C(x) will yield the largest value for ⟨x²⟩. (C) The wavefunction Ψ_C(x) will correspond to the highest kinetic energy. (D) All wavefunctions Ψ_A(x), Ψ_B(x) and Ψ_C(x) will yield the largest value for ⟨x⟩. (E) All wavefunctions Ψ_A(x), Ψ_B(x) and Ψ_C(x) will yield the largest value for ⟨x²⟩.

19. Consider the angular momentum of an electron in the 2Pz orbital of hydrogen atom. Which of the following are wrong? (A) The electron has a nonvanishing projection of angular momentum in the z direction. (B) If the projection of electron angular momentum in the x direction is measured, it always yields zero. (C) If the total electron angular momentum is measured, it yields a distribution with a finite width. (D) If the projection of electron angular momentum in the z direction is measured, it always yields an identical value. (E) If a magnetic field in the z direction is applied, it will shift the electron energy.

18. Consider a p-n diode. Which of the following are correct? (A) Near the p-n junction, electrons and holes diffuse and recombine, resulting in a depletion region. (B) When forward biased, there will be electrons flowing from n side to p side. (C) When forward biased, there will be holes flowing from p side to n side. (D) When unbiased, the Fermi energy is aligned throughout the diode. (E) When unbiased, the conduction band edge is aligned throughout the diode.

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