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The speed of light in a vacuum is a fundamental constant denoted by 'c' and is approximately 299,792,458 meters per second. According to the principles of electromagnetic wave propagation, the speed of light in a medium other than a vacuum, such as water or glass, is slower than its speed in a vacuum. This reduction in speed occurs due to the interactions of light with the atoms and molecules of the medium.

When light travels through a medium, it interacts with the charged particles, such as electrons, within the material. These interactions cause the light to be absorbed and re-emitted by the particles, which leads to a delay in its propagation. As a result, light takes a longer path through the medium compared to the straight path it would have taken in a vacuum.

While the speed of light changes in different media, the fundamental nature of light remains the same. The speed of light in a medium is determined by the refractive index of that medium, which is a measure of how much the light slows down when passing through it. The refractive index depends on the properties of the medium, such as its density and the behavior of light-matter interactions.

Even though the speed of light changes in different media, the frequency of light remains constant. The frequency of light is the number of wave cycles that pass a given point in a second and is directly related to its color or wavelength. When light passes from one medium to another, its wavelength can change due to the different refractive indices, but the frequency remains the same. This phenomenon is described by Snell's law, which governs the change in direction of light as it crosses the boundary between two media.

In summary, the speed of light in a medium depends on the interactions of light with the atoms or molecules of that medium, causing it to slow down compared to its speed in a vacuum. While the wavelength of light can change when it enters a different medium, the frequency remains constant.

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