**Answer:**

Frequency and wavelength are inversely proportional and the higher the frequency, the higher the energy of the electromagnetic wave.

**Explanation:**

Electromagnetic waves are transverse waves formed by an electric field and a magnetic field perpendicular to it. They propagate in a vacuum since the variation on an electric field generates a magnetic field and vice versa.

The electromagnetic spectrum is the distribution of radiation due to the different frequencies at which it radiates and its different intensities.

Radiation is distributed along that electromagnetic spectrum according to the wavelength or frequency. For example, X-rays, ultraviolet rays, the visible region are the ones with the highest frequencies and infrared, microwave and radio waves with lower frequencies.

However, the velocity of an electromagnetic wave can be defined as:

**(1)**

Where c is the speed of light, is frequency and is the wavelength.

Therefore, if or are isolated in equation 1, is easy to see that one is inversely proportional to the other.

** (2)**

For example, in equation 2 when the frequency increases the wavelength decreases.

The energy of the electromagnetic wave can be determined by means of the following equation:

**(3)**

Where h is the Planck's constant and is the frequency.

Hence, frequency and energy are directly proportional.

Equation 2 can be replace in equation 3:

**(4)**

Then, energy and wavelength are inversely proportional