Final answer:
The crystal's index of refraction is approximately 1.63.
Step-by-step explanation:
The index of refraction, n, can be calculated using the formula n = c/v, where c is the speed of light in vacuum and v is the speed of light in the material. In this case, the speed of light in vacuum, c, is approximately 3.00 x 10^8 m/s, and the given speed of light in the crystal is 1.84 x 10^8 m/s. Plugging in these values, we have:
n = (3.00 x 10^8 m/s) / (1.84 x 10^8 m/s) = 1.63.
Therefore, the crystal's index of refraction is approximately 1.63.
The index of refraction n of a material is calculated, where c is the speed of light in a vacuum and v is the speed of light in the material. For a crystal with a given speed of light , and c being the speed of light in a vacuum, the calculation yields an index of refraction n of approximately 1.63. This value describes how much the speed of light is reduced when it travels through the crystal compared to its speed in a vacuum.