To find the wavelength of a microwave with a frequency of 4.2 * 10^8 Hz, you can use the equation:
wavelength = speed of light / frequency
The speed of light in a vacuum is approximately 3.0 * 10^8 meters per second.
Plugging in the values:
wavelength = (3.0 * 10^8 m/s) / (4.2 * 10^8 Hz)
The Hz unit cancels out, and the calculation simplifies to:
wavelength = 3.0 / 4.2 meters
Evaluating the division:
wavelength ≈ 0.714 meters
Therefore, the wavelength of the microwave with a frequency of 4.2 * 10^8 Hz is approximately 0.714 meters.