The relationship between the speed of light ($c$), frequency ($\nu$), and wavelength ($\lambda$) is given by the wave equation : $c = \nu \lambda$

To find the wavelength ($\lambda$), we rearrange the formula: $\lambda = \frac{c}{\nu}$

Given values: Speed of light ($c$) = $3 \times 10^{17} \text{ nm s}^{-1}$ Frequency ($\nu$) = $6 \times 10^{15} \text{ s}^{-1}$

Calculation: $\lambda = \frac{3 \times 10^{17}}{6 \times 10^{15}}$ $\lambda = 0.5 \times 10^{2} \text{ nm}$ $\lambda = 50 \text{ nm}$

(Note: Planck's constant is provided as distractor data and is not required for calculating wavelength from frequency and speed).