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:

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


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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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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Wavelength and Frequency concept. You can view video lessons to learn Wavelength and Frequency. Or if you need more Wavelength and Frequency practice, you can also practice Wavelength and Frequency practice problems.

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Based on our data, we think this problem is relevant for Professor West's class at UGA.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry - OpenStax 2015th Edition. You can also practice Chemistry - OpenStax 2015th Edition practice problems.