Question

The speed of light in sapphire is 1.69 x 10^8 m/s. determine the index of refraction for sapphire.​

Answer 1

The index of refraction for sapphire is approximately 1.775.

Step-by-step 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.

Answer 2

1.775 is the answer

Step-by-step 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