An electron is excited from the \(n=1\) ground state to the \(n=\) 3 state in a
hydrogen atom. Which of the following statements are true? Correct the false
statements to make them true.
a. It takes more energy to ionize (completely remove) the electron from \(n=3\)
than from the ground state.
b. The electron is farther from the nucleus on average in the \(n=3\) state than
in the \(n=1\) state.
c. The wavelength of light emitted if the electron drops from \(n=3\) to \(n=2\)
will be shorter than the wavelength of light emitted if the electron falls
from \(n=3\) to \(n=1 .\)
d. The wavelength of light emitted when the electron returns to the ground
state from \(n=3\) will be the same as the wavelength of light absorbed to go
from \(n=1\) to \(n=3\)
e. For \(n=3,\) the electron is in the first excited state.