Question

A certain FM radio station broadcasts A certain FM radio station broadcasts electro magnetic waves at a frequency of 9.05×10 to the seventh hz. These radio waves travel at the speed of 3.00×10 to the eighth power milliseconds. What is the wavelength of these radio waves

Answer 1

Answer on Question 75858, Physics, Other

Question:

A certain FM radio station broadcasts electromagnetic waves at a frequency of $9.05 \cdot 10^{7} \, \text{Hz}$. These radio waves travel at the speed of $3.0 \cdot 10^{8} \, \text{m/s}$. What is the wavelength of these radio waves?

Solution:

We can find the wavelength of these radio waves from the wave speed formula:

$$c = f \lambda,$$

here, $c = 3.0 \cdot 10^{8} \, \text{m/s}$ is the speed of the radio waves, $f = 9.05 \cdot 10^{7} \, \text{Hz}$ is the frequency of the radio waves and $\lambda$ is the wavelength of the radio waves.

Then, we get:

$$\lambda = \frac{c}{f} = \frac{3.0 \cdot 10^{8} \, \frac{\text{m}}{\text{s}}}{9.05 \cdot 10^{7} \, \text{Hz}} = 3.31 \, \text{m}.$$

Answer:

$$\lambda = 3.31 \, \text{m}.$$

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