# Problem: An FM radio station found at 103.1 on the FM dial broadcasts at a frequency of 1.031 × 108 s−1 (103.1 MHz). What is the wavelength of these radio waves in meters?

###### FREE Expert Solution

We are being asked to calculate the wavelength with a frequency equal to of 1.031 × 108 s−1.

Wavelength, frequency, and the speed of light are connected by the following equation:

$\overline{){\mathbf{c}}{\mathbf{=}}{\mathbf{\lambda \nu }}}$

c = speed of light, m/s
λ = wavelength, in m
ν = frequency, Hz (Hertz)

We can rearrange the equation to isolate the wavelength (λ):

$\frac{\mathbf{c}}{\mathbf{\nu }}\mathbf{=}\frac{\mathbf{\lambda }\overline{)\mathbf{\nu }}}{\overline{)\mathbf{\nu }}}\phantom{\rule{0ex}{0ex}}\overline{){\mathbf{\lambda }}{\mathbf{=}}\frac{\mathbf{c}}{\mathbf{\nu }}}$

Calculate the wavelength (λ):

Given:

ν = 1.031 × 108 s−1

c = 2.998x108 m/s

92% (479 ratings) ###### Problem Details

An FM radio station found at 103.1 on the FM dial broadcasts at a frequency of 1.031 × 108 s−1 (103.1 MHz). What is the wavelength of these radio waves in meters?