Discussion
Why is photon energy proportional to wavenumber rather than wavelength?
Answer: B
Photon energy is Planck's constant times frequency, and frequency is the speed of light over wavelength, so energy goes as one over wavelength - which is exactly what wavenumber is. The counting description is true but is not the reason, units are irrelevant, and energy is linear in frequency rather than quadratic. A unit chosen so that a scale becomes linear in the quantity of interest is worth adopting, and it is why infrared spectra are plotted the way they are.
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