We know the frequency range of certain sounds are: 400-560 Hz, what are the ranges of wavelength in meters when the signal transmits in air?

Respuesta :

Answer:

Range of wavelength will be [tex]5.35\times 10^5m[/tex] to [tex]7.5\times 10^5m[/tex]

Explanation:

We have given range of frequency is 400-560 Hz

Speed of the light [tex]c=3\times 10^8m/sec[/tex]

We have to find the range of the wavelength of signal transmitted

Ween know that velocity is given by [tex]v=\lambda f[/tex], here [tex]\lambda[/tex] is wavelength and f is frequency

So for 400 Hz frequency wavelength will be [tex]\lambda =\frac{c}{f}=\frac{3\times 10^8}{400}=7.5\times 10^5m[/tex]

And wavelength for frequency 560 Hz [tex]\lambda =\frac{c}{f}=\frac{3\times 10^8}{560}=5.35\times 10^5m[/tex]

So range of wavelength will be [tex]5.35\times 10^5m[/tex] to [tex]7.5\times 10^5m[/tex]