Question

(1) What distance does light travel in water during the time that it travels 1.10 m in vacuum?

Answer 1

Answer:

1.   d = 8,270 10⁻¹ m , 2.  d = 7.33 10⁻¹ m , 3.  d = 5.116 10⁻¹  m

Explanation:

The speed of light in a vacuum is

         c = 2,998 10⁸ m / s

This speed is reduced in the material media, by interaction with the particles, the speed in the medium can be found by the index of refraction

          n = c / v

          v = c / n

As the speed is constant we can use the kinematic relationship

           v = d / t

           d = v t

           d = c t / n

We find the time it takes to travel the distance in a vacuum

            t = d / c

            t = 1.10 / 2.998 10⁸

            t = 3.669 10⁻⁹ s

1 in water refractive index is

            n = 1.33

            d = 2,998 10⁸ 3,669 10⁻⁹ / 1,333

            d = 8,270 10⁻¹ m

2 glass with n = 1.50

             d = 2,998 10⁸ 3,669 10⁻⁹ /1.5

             d = 7.33 10⁻¹ m

3 cubic zirconium n = 2.15

          d = 2,998 10⁸ 3,669 10⁻⁹ /2.15

          d = 5.116 10⁻¹  m