An FM radio station broadcasts electromagnetic radiation at a frequency of 103.4 MHz (megahertz; MHz =106s–1). Calculate the wavelength of this radiation. The speed of light is 2.998 × 108m/s to four significantdigits.

Respuesta :

Answer:

[tex]Wavelength=2.899\ m[/tex]

Explanation:

The relation between frequency and wavelength is shown below as:

[tex]c=frequency\times Wavelength[/tex]

c is the speed of light having value [tex]2.998\times 10^8\ m/s[/tex]

Given, Frequency = 103.4 MHz = [tex]103.4\times 10^{6}\ Hz[/tex]  ( as 1 MHz = 10⁶ Hz)

Thus, Wavelength is:

[tex]Wavelength=\frac{c}{Frequency}[/tex]

[tex]Wavelength=\frac{2.998\times 10^8}{103.4\times 10^{6}}\ m[/tex]

[tex]Wavelength=2.899\ m[/tex]