# Electromagnetic waves propagate in a homogeneous medium at a speed of 2×10 ^ 8 m / sec.

**Electromagnetic waves propagate in a homogeneous medium at a speed of 2×10 ^ 8 m / sec. What is the wavelength of electromagnetic oscillations in this environment, if their frequency in a vacuum is 100 km.**

There is an error in the problem statement – the frequency cannot be changed in km. Therefore, the solution to the problem will be based on the fact that the frequency is 100 kilohertz.

Given:

u = 2 * 10 ^ 8 m / s – the speed of propagation of electromagnetic waves in a homogeneous medium;

v = 100 * 10 ^ 3 Hertz is the frequency of oscillation of waves in a homogeneous medium.

It is required to determine L (meter) – the wavelength.

To determine the wavelength, you need to use the following formula:

u = L * v, hence:

L = u / v = 2 * 10 ^ 8/100 * 10 ^ 3 = = 2 * 10 ^ 3 = 2000 meters.

Answer: the length of the electromagnetic wave is 2000 meters.