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What is the refractive index, and how does it relate to the speed of light?

Refractive index is a measure of how much light slows down when it passes through a medium compared to its speed in a vacuum. It indicates how much the path of light bends, or refracts, when entering a material.

Relationship with Speed of Light:

  • Light travels fastest in a vacuum, at approximately 299,792 kilometers per second.
  • When light enters a medium like water, glass, or air, it slows down.
  • The refractive index (n) is defined as: n = (speed of light in vacuum) / (speed of light in the medium)
  • For example, if light travels at 200,000 km/s in glass, the refractive index of that glass would be: n = 299,792 / 200,000 ≈ 1.5

Key Points:

  • n = 1 for vacuum.
  • n > 1 for all other transparent materials.
  • The higher the refractive index, the slower light moves through the material.
  • It also affects how much the light bends at the boundary between two media.

Thus, the refractive index directly tells us how much the speed of light is reduced in a given material.

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