## College Physics (4th Edition)

The largest wavelength that can be used in UV sterilization is $270~nm$
We can find the wavelength of a photon with an energy of $4.6~eV$: $E = \frac{hc}{\lambda}$ $\lambda = \frac{hc}{E}$ $\lambda = \frac{(6.626\times 10^{-34}~J~s)(3.0\times 10^8~m/s)}{(4.6~eV)(1.6\times 10^{-19}~J/eV)}$ $\lambda = 2.70\times 10^{-7}~m$ $\lambda = 270~nm$ The largest wavelength that can be used in UV sterilization is $270~nm$