What is the formula to calculate the wavelength of a radio wave?

The formula to calculate the wavelength of a radio wave is based on the relationship between speed, frequency, and wavelength. The correct formula states that wavelength equals the speed of light divided by the frequency of the wave.

In this context, radio waves are electromagnetic waves, and they travel at the speed of light in a vacuum, which is approximately 299,792 kilometers per second. The frequency is defined as the number of cycles of the wave that pass a point in one second, measured in hertz (Hz).

When you divide the speed of light by the frequency, you obtain the length of one complete cycle of the wave, which is the definition of wavelength. This relationship is crucial in radio communications, as understanding the wavelength allows operators to effectively design antennas, select transmission frequencies, and comply with regulations, ensuring optimal performance.

The other options utilize incorrect relationships or units, which do not align with the fundamental physics behind wave propagation and electromagnetic theory. For instance, using speed of sound instead of the speed of light or multiplying instead of dividing reflects a misunderstanding of the properties of electromagnetic waves. Thus, the correct understanding is captured in the proper relationship of speed of light and frequency to derive the wavelength.