Sorting waves into bands

You will write three small functions that place a wave on the spectrum. Use $c = 3.00 \times 10^{8}$ m/s and $hc = 1240$ eV nm.

The idea. The frequency is $f = c/\lambda$. The photon energy is $1240/\lambda$ in eV for $\lambda$ in nm. The band comes from the wavelength:

• radio above $0.1$ m, and microwave from $1$ mm to $0.1$ m;
• infrared from $700$ nm to $1$ mm, and visible from $400$ nm to $700$ nm;
• ultraviolet from $1$ nm to $400$ nm, and X-ray from $10^{-3}$ nm to $1$ nm;
• gamma below $10^{-3}$ nm.

Your tasks.

1. In frequency, return the frequency in Hz of a wave of wavelength wavelength in m.
2. In photon_energy, return the photon energy in eV of a wave of wavelength wavelength in m.
3. In band, return the name of the band as a string: "radio", "microwave", "infrared", "visible", "ultraviolet", "x-ray" or "gamma".