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
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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:

c=λν

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


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

cν=λννλ=cν


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?

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