What frequency sound has a 0.10 -m wavelength when the speed of sound is 340 m/s?

Question

Kobe Ortiz · Accepted Answer

λ  =  0.10  m      v          w        =  340      m    s  In this case, we have to determine the value of the sound frequency.The speed of sound is given as product of its frequency and wavelength.      v          w        =  f  ∗  λWe must first find the equation for the frequency of sound, and we will succeed by using the speed of sound equation.      v          w        =  f  ∗  λ (Divide both sides by   λ)            v              w              λ    =            f      ∗      λ        λ    ⇒  f  =            v              w              λ  ...(1)If we plug in values in equation 1, we will get required value of sound frequency:  f  =            v              w              λ    f  =            340              m        s                    0.10      m      f=3400HzResult:f=3400Hz

kvasilw0 · Accepted Answer

The speed (v) of the sound wave, its frequency (f) and wavelength (

λ

) are related as

v = f λ

It can be rewritten for frequency as

f = \frac{v}{λ}

Substituting the given values,

f = \frac{340}{0.10} = 3400 H z

Result:
3400Hz

What frequency sound has a 0.10 -m wavelength when the speed of sound is 340 m/s?

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