ANSWER
The wavelength of the photon is 0.0053nm
STEP-BY-STEP EXPLANATION:
Given data
Frequency of the photon = 5.66 x 10^-4 Hz
Let x represents the wavelength of the photon
To determine the wavelength of the photon, we need to apply the below formula
[tex]\begin{gathered} C\text{ = f x }\lambda \\ \text{where} \\ c=\text{ sp}eed\text{ of light} \\ f\text{ = frequency} \\ \lambda\text{ = wavelength} \end{gathered}[/tex]Recall that, the speed of light is 3 x 10^8 m/s
The next process is to substitute the values into the above formula
[tex]\begin{gathered} c\text{ = f}\lambda \\ \text{Divide both sides by f} \\ \frac{c}{f}\text{ = }\frac{f\lambda}{f} \\ \lambda\text{ = }\frac{c}{f} \\ \end{gathered}[/tex][tex]\begin{gathered} \lambda\text{ = }\frac{3\cdot10^8}{5.66\cdot10^{14}} \\ \lambda\text{ = }\frac{3}{5.66}\cdot10^{8\text{ - 14}}^{} \\ \lambda\text{ = 0.53 }\cdot10^{-6} \\ \lambda\text{ = 5.3 }\cdot10^{-7}m \\ \lambda\text{ =}0.0053nm \end{gathered}[/tex]Therefore, the wavelength of the photon is 0.0053nm
