Answer
See the explanation
Work Step by Step
Corrected statements:
a. FALSE. It takes **less** energy to ionize (completely remove) the electron from \( n=3 \) than from the ground state. (Exciting the electron to a higher energy level makes it easier to ionize because it's already at a higher energy state.)
b. TRUE. The average distance increases with the principal quantum number $n$
c. FALSE. The wavelength of light emitted if the electron drops from \( n=3 \) to \( n=2 \) will be **longer** than the wavelength of light emitted if the electron falls from \( n=3 \) to \( n=1 \). (Transitions to lower energy levels result in longer wavelengths.)
d. TRUE. 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 \( n=3 \). (This is a correct statement.)
e. FALSE. For \( n=3 \), the electron is in the **second** excited state. (The ground state is \( n=1 \), so the first excited state is \( n=2 \), making \( n=3 \) the second excited state.)
