The relationship between the speed of light ($c$), frequency ($\nu$), and wavelength ($\lambda$) is given by the equation: $c = \nu \lambda$ Rearranging to solve for wavelength ($\lambda$): $\lambda = \frac{c}{\nu}$ Given: $c = 3.0 \times 10^8 \text{ m s}^{-1}$ $\nu = 8 \times 10^{15} \text{ s}^{-1}$

Calculation: $\lambda = \frac{3.0 \times 10^8}{8 \times 10^{15}} \text{ m}$ $\lambda = 0.375 \times 10^{-7} \text{ m}$ $\lambda = 3.75 \times 10^{-8} \text{ m}$

To convert the wavelength into nanometers ($1 \text{ nm} = 10^{-9} \text{ m}$): $\lambda = 3.75 \times 10^{-8} \text{ m} \times \frac{10^9 \text{ nm}}{1 \text{ m}}$ $\lambda = 3.75 \times 10^1 \text{ nm}$ $\lambda = 37.5 \text{ nm}$

The closest value among the options is $4 \times 10^1$ (which is 40).