Sabiendo que la velocidad de la luz en el Cuarzo es de 194.166.099 m/s y de 203.525.090 m/s en la glicerina: a) Hallar los índices de refracción absolutos en la glicerina y en el cuarzo. b) Hallar el índice de refracción relativo del agua respecto al diamante.

a) glycerin  n = 1.5440 , quartz n = 1.4730

b)  n₂₁ = 0.550

Explanation:

The refractive index is

        n = c / v

where c is the speed of light in a vacuum and v the speed of light in the material medium

Let's use this expression to find the indexes of refraction

a) glycerin of v= 194166099 m / s

           n = 2,998 10 8/194166099

           n = 1.5440

quartz v = 203525090 m / s

          n = 2,998 108/203525090

         n = 1.4730

b) the relative refractive index is the relationship between the absolute refractive indices of two materials

      diamond n₁ = 2.417

      water n₂ = 1.33

the relative refractive index

              n₂₁ = n_water / n_diamond

              n₂₁ = 1.33 / 2.417

              n₂₁ = 0.550

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