Answer
The wavelength of radiation that will provide a photon of that energy is $275nm$.
Work Step by Step
The wavelength of radiation could be calculated using this formula: $$c=\nu\times\lambda$$
We already have:
- Speed of light in a vacuum: $c\approx2.998\times10^8m/s$
- Frequency of radiation that will provide a photon of that energy: $\nu=\nu_{min}=1.09\times10^{15}s^{-1}$
Therefore, the wavelength of radiation that will provide a photon of that energy is:
$\lambda=\frac{c}{\nu}=\frac{2.998\times10^8}{1.09\times10^{15}}\approx2.75\times10^{-7}m\approx275nm$
