First, we have to remember the equation that relates the wavelength with the frequency:
[tex]v=\text{ }\lambda\times f[/tex]In which v is the wave speed, lambda is the wavelength and f is the frequency.
From this equation, we can reformulate it as:
[tex]\lambda=\text{ }\frac{v}{f}[/tex]Now, we know that the light speed is 3x108 m/s, so we can replace in the previous equation:
[tex]\lambda=\text{ }\frac{3\times10^8\text{ m/s}}{5.97\times10^{14}Hz}=\text{ 5.025}\times10^{-7}\text{ m = 502.51 nm}[/tex]So, the answer is 502.51 nm
