Question

the energy of microwaves is less than the energy of ultraviolet light. which comparison of the energies of electromagnetic waves is correct? gamma rays have higher energy than microwaves because gamma rays have shorter wavelengths. gamma rays have higher energy than microwaves because gamma rays have lower frequencies. infrared light has lower energy than x - rays because infrared light has shorter wavelengths. infrared light has lower energy than x - rays because infrared light has higher frequencies.

Explanation:

Step1: Recall energy - wavelength - frequency relationship

The energy of an electromagnetic wave is given by $E = h
u=\frac{hc}{\lambda}$, where $h$ is Planck's constant, $
u$ is the frequency, $c$ is the speed of light, and $\lambda$ is the wavelength. Higher - frequency or shorter - wavelength electromagnetic waves have higher energy.

Step2: Analyze gamma rays and microwaves

Gamma rays have a much shorter wavelength (higher frequency) compared to microwaves. According to $E=\frac{hc}{\lambda}$, shorter wavelength means higher energy. So gamma rays have higher energy than microwaves because they have shorter wavelengths.

Step3: Analyze infrared light and X - rays

Infrared light has a longer wavelength (lower frequency) compared to X - rays. So infrared light has lower energy than X - rays because it has a longer wavelength.

Answer:

Gamma rays have higher energy than microwaves because gamma rays have shorter wavelengths.