What would the properties of an infinitely long wavelength of light be? And what about a wavelength of light that is infinitely short? What would that look like?
edit: light as in electromagnetic waves, not visible light. Sorry if it was not very clear
A wave with an infinitely long period isn’t really recognizable as a wave. It’d just be interpreted as a flat line anywhere in the universe. And as mentioned, the energy of light is tied to its frequency:
E = hf. (Or with hbar • omega, but that’s just multiplied with and divided by 2π, so, the same thing.)So an infinitely long wave would have f=0 and thus no energy.
The highest frequency you’d get would be 1/planck-time, so the energy would be the Planck constant divided by Planck time, which would be roughly 12.3 GJ. That’s a lot of energy for just one photon, but if it’s just the one, likely not world-ending.
I really love when physic estimates end with “probably not world ending”
Now do the shortest possible wavelength
If I’m not mistaken, their last paragraph describes this to contrast the answer above about the longest (I.e. lowest) frequency.