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FM-95, an FM radio station, broadcasts at a frequency of $9.51 \times 10^{7} s^{-1}$ (95.1 MHz). What is the wavelength of these radio waves in meters?
$\lambda=3.15$ meters
Chemistry 101
Chapter 6
Electronic Structure and Periodic Properties of Elements
Electronic Structure
Periodic Table properties
Carleton College
Rice University
University of Toronto
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problem. Three from Chapter six is asking us for the wavelength of a radio wave with a given frequency of 95.1 megahertz. To solve this problem, we must recall the equation relating wave length and frequency, which is as follows speed, which is C is equal to the wavelength given by Lambda multiplied by the frequency. Since we want to know the wavelength which is slammed a variable here, we must rearrange this equation so that the wavelength is on one side and we'll do that by moving the frequency over here. And that results in this equation. So Lamda or wavelength is equal to speed. Divided by the frequency speed of a wave is constant. This variable is always going to be 2.998 times 10 to the eighth meters per second. And in the question, they gave us the frequency as 95.1 megahertz or 9.51 times 10 to the seventh per second. I'm so if we plug those variables into the equation, we get this. And as you notice Ah, the question is asking for the answer to be in meters, which works out perfectly for us because you can see these second inverse variables will cancel. So we just cancel this out, canceled this out and we are left with a unit in meters, which is great. Um so if you divide these two numbers, the answer you will get is Landa or the wavelength is equal to 3.15 meters.
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