Final answer:
The wavelength of radiation with a frequency of 5.45 x 10^14 Hz is approximately 550 nm, which falls within the range of visible light.
Step-by-step explanation:
To calculate the wavelength of radiation with a known frequency, we can use the formula λ = c / f, where λ is the wavelength, c is the speed of light in a vacuum (approximately 3.00 × 108 m/s), and f is the frequency. The frequency of the radiation given is 5.45 × 1014 Hz. Substituting this frequency and the speed of light into the formula gives us:
λ = c / f = (3.00 × 108 m/s) / (5.45 × 1014 Hz)
After calculation, the wavelength λ works out to be approximately:
λ = 5.50 × 10-7 m or 550 nm (nanometres)
This falls within the range of visible light, as visible light wavelengths are typically between 400 nm and 700 nm.