Final answer:
The wavelength of radiation with a frequency of 3.4 x 10¹¹ s⁻¹ is calculated using the speed of light and the formula λ = c / f, resulting in a wavelength of 882 nanometers.
Step-by-step explanation:
The wavelength of radiation with a frequency of 3.4 x 10¹¹ s⁻¹ can be found using the equation c = fλ, where c is the speed of light in a vacuum (3.00 x 10⁸ m/s), f is the frequency, and λ is the wavelength. To find the wavelength (λ), the equation can be rearranged to λ = c / f. We substitute the given frequency into the equation to calculate the wavelength.
λ = (3.00 x 10⁸ m/s) / (3.4 x 10¹¹ s⁻¹)
λ = 8.82 x 10⁻³ meters or 882 nanometers. This wavelength would fall in the infrared region of the electromagnetic spectrum.