Question

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.

Answer 1

Answer:

$Wavelength=2.899\ m$

Explanation:

The relation between frequency and wavelength is shown below as:

$c=frequency\times Wavelength$

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

Given, Frequency = 103.4 MHz = $103.4\times 10^{6}\ Hz$  ( as 1 MHz = 10⁶ Hz)

Thus, Wavelength is:

$Wavelength=\frac{c}{Frequency}$

$Wavelength=\frac{2.998\times 10^8}{103.4\times 10^{6}}\ m$

$Wavelength=2.899\ m$