To find the wavelength of radiation with a given frequency, you can use the equation:
λ = c / f
where λ is the wavelength, c is the speed of light (approximately 3.00 × 10^8 meters per second), and f is the frequency.
Substituting the given frequency of 5.11 × 10^11 s^(-1) into the equation, we can calculate the wavelength:
λ = (3.00 × 10^8 m/s) / (5.11 × 10^11 s^(-1))
λ ≈ 5.87 × 10^(-4) meters
Therefore, the wavelength of radiation with a frequency of 5.11 × 10^11 s^(-1) is approximately 5.87 × 10^(-4) meters or 587 nanometers.