A sound signal traveling underwater has a frequency of 230 hertz. The speed of sound under water is 1.45 × 103 meters/second. What is the wavelength of the sound signal?

Respuesta :

SJ2006

It would be lamda = speed / frequency

 = 1.45 *103/230 = 149.35/230 = 0.64m

Answer : The wavelength of the sound signal is 6.30 m.

Explanation :

Formula used :

[tex]\lambda=\frac{c}{\nu}[/tex]

where,

[tex]\lambda[/tex] = wavelength of sound signal = ?

[tex]\nu[/tex] = frequency = [tex]230Hz=230s^{-1}[/tex]

c = speed of sound under water = [tex]1.45\times 10^3m/s[/tex]

Now put all the given values in the above formula, we get:

[tex]\lambda=\frac{1.45\times 10^3m/s}{230s^{-1}}[/tex]

[tex]\lambda=6.30m[/tex]

Therefore, the wavelength of the sound signal is 6.30 m.