In order of increasing frequency, list the waves that make up the electromagnetic spectrum and give an example of each type of wave.

Explain how Snell’s law describes refraction.

To answer the first question about the electromagnetic spectrum, we need to order the waves by increasing frequency and provide an example for each type of wave. The electromagnetic spectrum consists of several waves, including:

1. Radio waves: These waves have the lowest frequency and are used in radio communication. An example is AM or FM radio waves.
2. Microwaves: These waves have slightly higher frequencies and are used in microwave ovens and communication systems. Examples include Wi-Fi signals and radar.
3. Infrared waves: These waves have even higher frequencies and are responsible for heat radiation. They are commonly used in remote controls and thermographic cameras.
4. Visible light: This is the range of wavelengths that our eyes can detect. It includes all the colors of the rainbow, from red to violet.
5. Ultraviolet waves: These waves have frequencies higher than visible light and are responsible for tanning and causing sunburns. They are also used in some sterilization processes.
6. X-rays: X-rays have higher frequencies than ultraviolet waves and are commonly used in medical imaging. They can penetrate soft tissues but are absorbed by denser materials, such as bones.
7. Gamma rays: Gamma rays have the highest frequencies in the electromagnetic spectrum and are highly energetic. They are used in various scientific and medical applications, including cancer treatments and sterilization of medical equipment.

Now, let's move on to explaining how Snell's law describes refraction. Snell's law is a principle in physics that describes the behavior of light as it passes through the interface between two different media, such as air and water. It relates the angles of incidence and refraction, as well as the refractive indices of the two media involved.

When light travels from one medium to another, it changes direction due to a change in its speed. This change in direction is called refraction. Snell's law mathematically describes this phenomenon. It states that the ratio of the sine of the angle of incidence (θ1) to the sine of the angle of refraction (θ2) is equal to the ratio of the velocities of light in those two media.

Mathematically, Snell's law can be expressed as follows:

n1 * sin(θ1) = n2 * sin(θ2)

Where:
- n1 and n2 are the refractive indices of the media involved (refractive index of medium 1 and refractive index of medium 2, respectively).
- θ1 is the angle of incidence (the angle between the incident ray and the normal line to the interface).
- θ2 is the angle of refraction (the angle between the refracted ray and the normal line to the interface).

Snell's law provides a quantitative relationship between the angles of incidence and refraction, allowing us to predict how light will bend when it passes from one medium to another with different optical properties. It is a fundamental principle in optics and is widely used in various fields, including lens design, fiber optics, and the study of waves.