To find the wavelength with only the frequency, you can use the formula that relates the speed of light, wavelength, and frequency of a wave. The formula is as follows:
wavelength (λ) = speed of light (c) / frequency (f)
The speed of light is a constant value, approximately 3.0 × 10^8 meters per second (m/s).
Using this formula, you can rearrange it to solve for the wavelength:
wavelength (λ) = c / f
Let's say you have the frequency (f) in hertz (Hz). Simply divide the speed of light by the frequency to obtain the wavelength. Here's an example:
Example: If the frequency of a wave is 500 megahertz (MHz) or 500 × 10^6 Hz, you can calculate the wavelength as follows:
wavelength (λ) = (3.0 × 10^8 m/s) / (500 × 10^6 Hz)
wavelength (λ) ≈ 0.6 meters (m)
Therefore, in this example, the wavelength is approximately 0.6 meters.