Question

My favorite radio station is NPR, which transmits a signal that has a wavelength of 3.38 m. What is the frequency of this signal?

Answer 1

The frequency of the signal is $8.88\cdot 10^7 Hz$

Explanation:

The relationship between wavelength, speed and frequency of an electromagnetic wave is

$c=f \lambda$

where

$c=3.0 \cdot 10^8 m/s$ is the speed of light

f is the frequency of the wave

$\lambda$ is the wavelength

For the radio wave in this problem,

$\lambda=3.38 m$ is the wavelength

So we can rewrite the equation to find the frequency:

$f=\frac{c}{\lambda}=\frac{3\cdot 10^8}{3.38}=8.88\cdot 10^7 Hz$

Learn more about waves, frequency and wavelength:

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