Radio waves travel at the speed of light, which is 3.00 times 10^8 m/s. What is the wavelength...


Radio waves travel at the speed of light, which is {eq}3.00 \times 10^8\ \rm m/s {/eq}. What is the wavelength for a FM station broadcasting at {eq}105.9\ MHz {/eq}?

Wave Equation

One of the basic wave equations relates to the speed of the wave, the wavelength of the wave and the frequency of the wave is used to solve such a problem, or if the frequency of wave remains constant then wave speed is directly proportional to the wavelength of the light.

{eq}\begin{align} v = \lambda f \end{align} {/eq}

Answer and Explanation: 1

Become a member to unlock this answer!

View this answer

Data Given

  • Speed of the radio wave {eq}v = 3.00 \times 10^8 \ m/s {/eq}
  • Frequency of the FM station is {eq}f = 105.9 \ MHz = 1.059 \times 10^8 \...

See full answer below.

Learn more about this topic:

Waves: Types & Definition


Chapter 7 / Lesson 14

Here, the definition of a wave is explored. Different types of waves, and the anatomy of a wave are investigated, and examples of waves are provided.

Related to this Question

Explore our homework questions and answers library