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  • Calculate Refractive Index: Light Speed in Vacuum vs. Glass
    Here's how to calculate the index of refraction:

    Understanding the Concept

    * Index of Refraction (n): This is a measure of how much light slows down when it passes from a vacuum into a medium. A higher index of refraction means the light slows down more.

    * Speed of Light in a Vacuum (c): This is the fastest speed light can travel, approximately 299,792,458 meters per second.

    * Speed of Light in a Medium (v): This is the speed of light in the material (in this case, glass).

    The Formula

    The index of refraction is calculated as:

    n = c / v

    Calculation

    1. We know:

    * Light travels 15 times faster in a vacuum than in glass, so v = c / 15

    2. Substitute into the formula:

    * n = c / (c / 15)

    3. Simplify:

    * n = 15

    Answer

    The index of refraction for glass in this scenario is 15.0.

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