To find the wavelength of a wave, you can use the formula:
Wavelength = Speed of Light / Frequency
The speed of light in a vacuum is approximately 3.00 × 10^8 meters per second (m/s).
Given that the frequency of the microwave is 4.2 × 10^8 Hz, we can calculate the wavelength as follows:
Wavelength = (3.00 × 10^8 m/s) / (4.2 × 10^8 Hz)
Wavelength ≈ 0.714 meters (or 714 millimeters)
Therefore, a microwave with a frequency of 4.2 × 10^8 Hz has a wavelength of approximately 0.714 meters (or 714 millimeters).