Final answer:
The wavelength of light with a frequency of 5.4 x 10^14 Hz is approximately 556 nanometers (nm), which can be calculated using the formula λ = c / f and falls within the visible light spectrum.
Step-by-step explanation:
To calculate the wavelength of light with a frequency of 5.4 × 1014 Hz, we can use the formula that relates the speed of light (λ), frequency (f), and wavelength (λ), which is λ = c / f, where c is the speed of light in a vacuum. The speed of light is approximately 3.0 × 108 meters per second (m/s). Plugging in the given frequency:
λ = 3.0 × 108 m/s / 5.4 × 1014 Hz = 5.56 × 10-7 meters or 556 nm.
Thus, the wavelength of light with the given frequency is approximately 556 nanometers (nm), which falls within the range of visible light.