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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 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?

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?

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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LibertyElite · Tutor for 8 years

Answer

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