試題詳解

複選題
40. Which of the following statements about "The Bohr Model" and "Particle in a Box" are
TRUE?
(A) A function of the type A cos(Lx) can be an appropriate solution for the particle in a one-
dimensional box.
(B) If the wavelength of light necessary to promote an electron from the ground state to the
first excited state is λ in a one-dimensional box, then the wavelength of light necessary to
promote an electron from the first excited state to the third excited state will be λ/2.
(C) The total probability of finding a particle in a one-dimensional box (length is L) in energy
level n = 4 between x = L/4 and x = L/2 is 25%.
(D) For an electron trapped in a one-dimensional box, as the length of the box increases, the
spacing between energy levels will increase.

(E) Assume that a hydrogen atom's electron has been excited to the n = 5 level. When this
excited atom loses energy, 10 different wavelengths of light can be emitted.