Answer:
[tex]3.14\cdot 10^{-8} m[/tex]
Explanation:
The energy of a photon is related to its wavelength by
[tex]E=\frac{hc}{\lambda}[/tex]
where
E is the energy
h is the Planck constant
c is the speed of light
[tex]\lambda[/tex] is the wavelength
In this problem, we know the energy
[tex]E=6.33\cdot 10^{-18} J[/tex]
So we can solve the previous formula for the wavelength:
[tex]\lambda=\frac{hc}{E}=\frac{(6.63\cdot 10^{-34} Js)(3\cdot 10^8 m/s)}{6.33\cdot 10^{-18} J}=3.14\cdot 10^{-8} m[/tex]