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When an electromagnetic wave propagates through different mediums, it can experience changes in wavelength, speed, and direction. These changes are governed by the refractive index of the medium, which is a measure of how much the medium slows down the wave compared to its speed in a vacuum.

  1. Wavelength: The wavelength of an electromagnetic wave changes when it enters a different medium. In general, when a wave enters a medium with a higher refractive index, its wavelength decreases, while in a medium with a lower refractive index, the wavelength increases. This change in wavelength is often accompanied by a change in the wave's direction, a phenomenon known as refraction.

  2. Speed: The speed of an electromagnetic wave is also affected by the medium it travels through. When a wave enters a medium with a higher refractive index, its speed decreases. This decrease in speed is due to the wave interacting with the atoms or molecules of the medium, which can temporarily absorb and re-emit the wave. The relationship between speed and refractive index is given by Snell's law, which states that the ratio of the speeds of the wave in the two mediums is equal to the ratio of the refractive indices.

  3. Relationship with refractive index: The refractive index of a medium is defined as the ratio of the speed of light in a vacuum to the speed of light in that medium. It quantifies how much the medium can slow down or refract light. The refractive index is related to both wavelength and speed. As mentioned earlier, when a wave enters a medium with a higher refractive index, its wavelength decreases and its speed decreases. Conversely, in a medium with a lower refractive index, the wavelength increases, and the speed increases. The refractive index provides a measure of how much the wave is affected by the medium's properties.

It's important to note that the relationship between wavelength, speed, and refractive index is interconnected and follows the fundamental principles of wave propagation. Changes in one parameter can affect the others, and the specific relationship depends on the properties of the medium in which the wave is propagating.

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