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Chapter 38: Q. 18 (page 1114)
Through what potential difference must an electron be accelerated from rest to have a de Broglie wavelength of ?
The potential difference
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The first three energy levels of the fictitious element X are shown in Figure.
a. What is the ionization energy of element X?
b. What wavelengths are observed in the absorption spectrum of element X? Express your answers in nm.
c. State whether each of your wavelengths in part b corresponds to ultraviolet, visible, or infrared light.
How would the graph of Figure 38.2 look if classical physics provided the correct description of the photoelectric effect? Draw the graph and explain your reasoning. Assume that the light intensity remains constant as its frequency and wavelength are varied.
Draw an energy-level diagram, similar to Figure 38.21, for the ion. On your diagram:
a. Show the first five energy levels. Label each with the values of n and
b. Show the ionization limit.
c. Show all possible emission transitions from the n = 4 energy level.
d. Calculate the wavelengths (in nm) for each of the transitions in part c and show them alongside the appropriate arrow.
Consider a small virus having a diameter of 10 nm. The atoms of the intracellular fluid are confined within the virus. Suppose we model the virus as a 10-nm-long “box.” What is the ground state energy (in eV) of a sodium ion confined in this box?
Very large, hot stars—much hotter than our sun—can be identified by the way in which ions in their atmosphere absorb light. What are the three longest wavelengths, in nm, in the Balmer series of ?
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