On 2008 Jan 15 , at 6:43 AM, STANLEY DOORE wrote:

Each frequency specified in Hertz has a specific wave length. Some frequencies can be heard by humans while others cannot. There is a direct relationship between frequency and wave length.



Sorry, Stanley, it is not quite true that each frequency has a specified wavelength. It depends also on the speed of the wave (for waves*). The relation that is important here is:

f = c/L

Thus, a wavelength of 1 m for sound wave (in air under normal conditions) would yield a frequency of:

f = (334 m/s)/(1 m) = 334 cycles per second = 334 Hz

since the speed of sound is about 334 m/s. The same wavelength for electromagnetic waves (light, radio, etc.) would be:

f = (3 x 10^9 m/s)/(1 m) = 3 x 10^9 Hz = 3 GHz

An ocean wave of 1 m wavelength washing up on the beach would have a still different frequency. Clearly, it is not true that a specified wavelength (of 1 m or any other specified size) does not correspond to a specific frequency for all waves. Since the original discussion had involved a comparison of sound waves with radio waves, this is relevant here.

Regards,
Bill Hooper


*For simple oscillations and other repetitious phenomena, there is no "wavelength" at all (because there is not wave). But the frequency is still a genuine attribute that can be measured in hertz (Hz).

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