State and explain Fermat’s principle. Using this principle, derive Snell’s law of refraction
Fermat's Principle and Derivation of Snell's Law of Refraction
Fermat's Principle is a fundamental concept in optics that describes the path taken by light between two points. It was formulated by the French mathematician and physicist Pierre de Fermat in the 17th century. The principle states that light follows the path that takes the least time to travel between two points. Mathematically, this principle can be expressed as follows:
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