Here's why:
* Wave speed (v) is directly proportional to frequency (f) and wavelength (λ): v = fλ
* If frequency decreases, wavelength must increase to keep the speed constant. This is because the product of frequency and wavelength must remain constant to maintain the same wave speed.
Example:
Imagine a wave traveling at 10 meters per second. If the frequency decreases from 2 Hz to 1 Hz, the wavelength will increase from 5 meters to 10 meters. The speed will still be 10 meters per second.
Key takeaway: The speed of a wave is a fundamental property of the medium it travels through. Changing the frequency and wavelength of a wave will only affect its energy and amplitude, but not its speed.
