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jekas [21]
4 years ago
15

the musical note A above middle C has a frequency of 440 Hz. If the speed of the sound is known to be 350 m/s, what is the wavel

ength of this note?
Physics
2 answers:
Leona [35]4 years ago
8 0
Wavelength = speed / frequency

= (350 m/s) / (440/s)

=. 0.795 meter
Aleks [24]4 years ago
5 0

Answer: the wavelength is 0.795 m

Explanation: The speed, frequency, and wavelength of note are related in the next equation:

λ = v/f

where λ is the wavelength, f is frequency and v is velocity.

Now, we know f = 440hz or 440*1/s and v = 350m/s, we can replace it in the equation and find λ

λ = (350m/s)/(440/s) = 0.795 m

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The  root -mean square velocity is mathematically represented as

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Now the ideal gas law is mathematically represented as

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=>   RT  =  \frac{PV}{n }

Where n is the number of moles which is mathematically represented as

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Where  M  is the molar mass of  N_2

So  

        RT  =  \frac{PVM_n }{m _n  }

=>    v =  \sqrt{ \frac{3 \frac{P* V  *  M_n }{m_n } }{M_n  } }

=>    v =  \sqrt{  \frac{ 3 *  P* V  }{m_n } } }

=>   P =   \frac{v^2   *  m_n}{3 *    V  }

substituting values

    =>    P =   \frac{( 192)^2   *  0.246 *10^{-3}}{3 *    1.83 *10^{-3} }

=>         P =   1652 \  Pa

       

     

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