By B. Crowell
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This important and useful relationship is more commonly written in terms of the frequency, v = fλ . 0x108 m/s. 1 MHz? 4 m The size of a radio antenna is closely related to the wavelength of the waves it is intended to receive. ), but the ordinary “whip” antenna such as a car’s is 1/4 of a wavelength. 85 m. e. sound with frequencies higher than the range of human hearing, was used to make this image of a fetus. The resolution of the image is related to the wavelength, since details smaller than about one wavelength cannot be resolved.
E. any triangular pulse has the same speed. It is an experimental fact (and we will also prove rigorously in the following subsection) that any pulse of any kind, triangular or otherwise, travels along the string at the same speed. Of course, after so many approximations we cannot expect to have gotten all the numerical factors right. The correct result for the velocity of the pulses is v = T µ . The importance of the above derivation lies in the insight it brings —that all pulses move with the same speed — rather than in the details of the numerical result.
This is undoubtedly because our ear-brain system evolved to be able to interpret human speech and animal noises, which are periodic but not sinusoidal. Our eyes, on the other hand, judge a color as pure (belonging to the rainbow set of colors) only if it is a sine wave. Discussion Question Suppose we superimpose two sine waves with equal amplitudes but slightly different frequencies, as shown in the figure. What will the superposition look like? What would this sound like if they were sound waves?