Question

of the labeled lines, which corresponds to the smallest electron energy transition?
choose 1 answer
line a
line b
line c

Explanation:

Step1: Recall the relationship between energy and wavelength

The energy of a photon is given by \(E = \frac{hc}{\lambda}\), where \(h\) is Planck's constant, \(c\) is the speed of light, and \(\lambda\) is the wavelength. So, energy is inversely proportional to wavelength (\(E\propto\frac{1}{\lambda}\)).

Step2: Compare the wavelengths of lines A, B, and C

Looking at the diagram (assuming standard wavelength - energy relation in such spectra problems), the line with the longest wavelength will have the smallest energy. If line C has the longest wavelength among A, B, and C (by visual inspection of the wavelength scale in the diagram where C is at the larger - wavelength end).

Answer:

C. line C