High School

The speed of light in sapphire is [tex]1.69 \times 10^8 \, \text{m/s}[/tex]. Determine the index of refraction for sapphire.

Answer :

Answer:

1.775 is the answer

Explanation:

We can figure out the index of refraction of the sapphire by using the following equation n = c/v

n = index of refraction


c = speed of light in a vacuum

v = speed of light traveling in medium

Step 1
:

v = 1.69 × 10^8

c = 3 × 10^8

Step2: Substitute values

n = c/v -----> n = 3 × 10^8 / 1.69 × 10^8 = 3/1.69 = 1.775

Index of refraction of sapphire is 1.775



Final answer:

The index of refraction for sapphire is approximately 1.775.

Explanation:

The index of refraction, n, can be calculated using the equation n = c/v, where c is the speed of light in a vacuum and v is the speed of light in the material. Since the speed of light in sapphire is given as 1.69 x 10^8 m/s, we can plug this value into the equation to find the index of refraction for sapphire.



n = c/v
n = (3.00 x 10^8 m/s) / (1.69 x 10^8 m/s)
n ≈ 1.775



Therefore, the index of refraction for sapphire is approximately 1.775.