Question

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?

Answer 1

Range of wavelength will be
`5.35* 10^5m` to
`7.5* 10^5m`

Step-by-step explanation:

We have given range of frequency is 400-560 Hz

Speed of the light
`c=3* 10^8m/sec`

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

Ween know that velocity is given by
`v=\lambda f`, here
`\lambda` is wavelength and f is frequency

So for 400 Hz frequency wavelength will be
`\lambda =(c)/(f)=(3* 10^8)/(400)=7.5* 10^5m`

And wavelength for frequency 560 Hz
`\lambda =(c)/(f)=(3* 10^8)/(560)=5.35* 10^5m`

So range of wavelength will be
`5.35* 10^5m` to
`7.5* 10^5m`