Answer:7.5 x 10^(-7) m
Step-by-step explanation:
Formula: wavelength = speed of light / frequency
The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second.
Given the frequency of the infrared wave as 4.0 x 10^14 Hz, we can substitute these values into the formula:
wavelength = (3.00 x 10^8 m/s) / (4.0 x 10^14 Hz)
Simplifying this calculation gives us:
wavelength = 7.5 x 10^(-7) meters
Therefore, the correct option for the wavelength of the infrared wave traveling through a vacuum is:
7.5 x 10^(-7) m