A radio wave of frequency on the order of 105 Hz is used to carry a sound wave with a frequency on the order of 103 Hz. Is the wavelength of this radio wave on the order of (a) kilometers, (b) meters, (c) centimeters, (d) micrometers

Respuesta :

Given that,

Frequency of radio wave is from  f = 10⁵ Hz and f' = 10³ Hz

We need to find the wavelength of radio wave. The speed of a wave is given by formula as follows :

If f = 10⁵ Hz

[tex]v=f\lambda\\\\\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{10^5}\\\\\lambda=3000\ m[/tex]

or

[tex]\lambda=3\ km[/tex]

If f' = 10³ Hz

[tex]v=f\lambda\\\\\lambda'=\dfrac{c}{f'}\\\\\lambda'=\dfrac{3\times 10^8}{10^3}\\\\\lambda'=300000\ m[/tex]

or

[tex]\lambda'=300\ km[/tex]

So, the wavelength of this radio wave on the order of kilometres.