A certain cellular telephone transmits at a frequency of 825 MHz and receives at a frequency of 875 MHz. (a) What is the wavelength of the transmitted signal in cm?

Video transcript

Hello everyone today. We are the following problem. A radio station operates at 250 GHz for transmission and 300 GHz for reception. What is the transmitted signals, wavelength in cm. So the first thing we wanna do is we want to write our equation to solve for wavelength which is the wavelength is equal to the speed of light over our frequency. And so the softer wavelength, we're going to use our speed of light which is three times 10 to the 8th m/s. And then to solve for our frequency, we are going to take the frequency of the transmitted signal or transmission, which is 250 GHz. And then we are going to try to just get it in units of hertz. So you can use the conversion factor that one times 10 To the 9th hurts is equal to one gigahertz. And so when we do that We get 1.2 times 10 to the negative 3rd meters. However, we need this to be in centimeters as the question asks us to do and so to do that, we multiply by the conversion factor that one centimeter is equal to one times 10 to the negative two m. Our units canceled out. We're left with 0.12 centimeters as our final answer. Overall, I hope that this helped. And until next time