Question

which statement is true about the trends shown on the electromagnetic spectrum?

as frequency increases, radiant energy and wavelength decrease.

as wavelength decreases, radiant energy and frequency increase.

as frequency decreases, radiant energy and wavelength increase.

as wavelength increases, radiant energy and frequency increase.

Explanation:

The key relationships for electromagnetic radiation are:

1. Energy ($E$) and frequency ($f$) are directly proportional: $E=hf$ (where $h$ is Planck's constant).
2. Frequency ($f$) and wavelength ($\lambda$) are inversely proportional: $c=f\lambda$ (where $c$ is the speed of light).

This means:

• When wavelength decreases, frequency increases, and higher frequency means higher radiant energy.
• All other options contradict these proportionality rules.

Answer:

B. As wavelength decreases, radiant energy and frequency increase.