# What is the wavelength used by a radio station that broadcasts at a frequency of 920 kHz?

## Question:

What is the wavelength used by a radio station that broadcasts at a frequency of 920 kHz?

## Radio Waves:

Radio waves are part of the electromagnetic spectrum and are thus made up of photons. This means that radio waves are subject to all the laws of physics that apply to photons. Radio waves are the lowest energy form of radiation and are not at all ionizing or harmful to us. Radio waves are typically used in both initial and modern wireless communication methods.

## Answer and Explanation:

Given:

- {eq}\displaystyle f = 920\ kHz = 920,000\ Hz {/eq} is the frequency

In order to determine the wavelength of this radio wave, we can use the wave speed equation as:

{eq}\displaystyle c = \lambda f {/eq}

Where *c* is the speed of light. We isolate the wavelength here:

{eq}\displaystyle \lambda = \frac{c}{f} {/eq}

We substitute:

{eq}\displaystyle \lambda = \frac{3\ \times\ 10^8\ m/s}{920,000\ Hz} {/eq}

We will get:

{eq}\displaystyle \boxed{\lambda = 326.09\ m} {/eq}

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from CLEP Natural Sciences: Study Guide & Test Prep

Chapter 8 / Lesson 6