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A wave with a high frequency has a low wavelength. Wavelength lambda and frequency f are connected by the speed cof the medium. c can be air = 343 m/s at 20 degrees celsius or water at 0 dgrees = 1450 m/s. c can be light waves or electromagnetic waves = 299 792 458 m/s. The formulas are: c = lambda x f f = c / lambda lambda = c / f

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14y ago
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13y ago

The wavelength of any sound wave will be proportional to its speed and inversely proportional to its frequency.

l = c / f,

where l is the wavelength, c is the speed, and f is the frequency.

In air, at sea level, 20 C and dry conditions, the speed of sound is about 340 m/s. A "high" frequency might be 15000 Hz, so the wavelength of that wave would be about 2.27 cm.

Please keep in mind that the speed of sound also depends on the frequency of the sound wave, an effect called dispersion, which becomes even more important as the frequency increases. There is also absorption, in which the medium absorbs the energy from the sound wave and diminishes it. Absorption is dependent on frequency and also becomes more important as the frequency increases.

Together, the effects of dispersion and absorption can change the shape of a sound wave as it travels, particularly "high" frequency ones.

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13y ago

This could be explained with the help of Cauchy's formula which tells that frequency is inversely proportional to the fourth power of the wavelength..this shows that when wavelength is short the frequency is large.

Also, the relation

Speed= Frequency x Wavelength

is true for every electromagnetic radiation.

Here, Speed = 3 x 108 m/s

Since the speed is constant for every type of radiation, the frequency gets inversely proportional to wavelength.

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13y ago

High frequency ===> short wavelength

Low frequency ===> long wavelength

For the same wave phenomenon (light, sound, water, seismic, etc.),

the product of (frequency) x (wavelength) is always the same number.

So when one increases, the other must decrease.

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11y ago

The velocity of a sound wave is equal to the wavelength times the frequency, v = λf, where v is velocity, λ (lambda) is wavelength, and f is the frequency. The wavelength and frequency have an inverse relationship, f = v/λ and λ = v/f. Therefore, a sound wave that has a higher frequency will have a shorter wavelength, and a sound wave that has a lower frequency will have a longer wavelength.

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14y ago

A wave with a high frequency has a short wavelength.

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12y ago

what u mean!?!?!?!?!?!?!?!??!!?!??!?!?!?!?!!?!?!?!?!?!?!??!?!?!?!

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13y ago

Will have a high frequency f=c/w.

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Q: A sound wave that has a higher frequency has a wavelength that is shorter or longer?
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