Choose which of the following is the correct relation between the frequency f, wavelength $λ$ , and speed v of the sound.

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$f = v / λ$

$f = λ v$

$f = λ / v$

$f = λ v^{2}$

answer is A.

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Detailed Solution

The speed of sound is the distance traveled by the sound wave in a given time, the speed of sound can be determined by the following formula.

$v = f λ$

Where f is frequency f, $λ$ is wavelength, and v is the speed of the sound.

The relationship between the speed of sound, its frequency, and wavelength is the same as for all waves. The wavelength of a sound is the distance between adjacent compressions or rarefactions. The frequency is the same as the source’s and is the number of waves that pass a point per unit of time.
According to the above discussion,
$v = f λ$
$\Rightarrow f = v / λ$

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