Consider the hypothetical atom X that has one electron like the H atom but has different energy levels. The energies of an electron in an X atom are described by the equation
R = RH/n3
where RH is the same as for hydrogen (2.179 ×10–18 J). Answer the following questions, without calculating energy values.
a. How would the ground-state energy levels of X and H compare?
b. Would the energy of an electron in the n = 2 level of H be higher or lower than that of an electron in the n = 2 level of X? Explain your answer.
c. How do the spacings of the energy levels of X and H compare?
d. Which would involve the emission of a higher frequency of light, the transition of an electron in an H atom from the n = 5 to the n = 3 level or a similar transition in an X atom?
e. Which atom, X or H, would require more energy to completely remove its electron?
f. A photon corresponding to a particular frequency of blue light produces a transition from the n = 2 to the n = 5 level of a hydrogen atom. Could this photon produce the same transition (n = 2 to n = 5) in an atom of X? Explain.