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7. Using the Formula at the Beginning of This Lesson, Calculate the Wavelength of a Signal from KPhET 98.7. Remember That FM Stations

Question

7. Using the formula at the beginning of this lesson, calculate the wavelength of a signal from KPhET 98.7. Remember that FM stations transmit in the Megahertz range This means that KPhET is transmitting a frequency o (9.87times 10^7)hz What is the wavelength of the signal from this radio station?

Solution

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Answer

Here's how to calculate the wavelength:**1. Recall the formula:**The relationship between wavelength (λ), frequency (f), and the speed of light (c) is given by:λ = c / f**2. Know the values:*** Speed of light (c) = 3.00 x 10⁸ m/s (approximately)* Frequency (f) = 9.87 x 10⁷ Hz (given)**3. Plug the values into the formula:**λ = (3.00 x 10⁸ m/s) / (9.87 x 10⁷ Hz)**4. Calculate:**λ ≈ 3.04 metersTherefore, the wavelength of the signal from KPhET 98.7 is approximately **3.04 meters**.