Complete Question
Index of refraction is defined as the speed of light in a vacuum divided by the speed of light in the medium. What is the index of refraction for a glass sample? Speed of light in a vacuum c = 3.0 x 108 m/s. Speed of light in the glass = 1.50 x 108 m/s.
Answer:
The index of refraction is
![n_g = 2](https://img.qammunity.org/2021/formulas/physics/college/idn4qbnczzo6ign12n9tkvap6zurshsbe0.png)
Step-by-step explanation:
From the question we are told that
The speed of light in a vacuum is
![c = 3.0 *10^(8) \ m/s](https://img.qammunity.org/2021/formulas/physics/college/n9ylmx4m92nu4uwxzxt0691rdz7t1diqhx.png)
The speed of the in the glass is
![c_g = 1.50 *10^(8) \ m/s](https://img.qammunity.org/2021/formulas/physics/college/1ev9crmqsll3l6cy3al5zwireyk9v578xq.png)
From the question the index of refraction for a glass is mathematically evaluated as
![n_g = (c)/(c_g )](https://img.qammunity.org/2021/formulas/physics/college/5y878qp5nw4ev8zdj1lgp25cl4y9rkkt70.png)
![n_g = (3.0 *10^(8))/(1.50 *10^(8) )](https://img.qammunity.org/2021/formulas/physics/college/5825bkzijldimwyb6ugdzplezshpi8icsc.png)
![n_g = 2](https://img.qammunity.org/2021/formulas/physics/college/idn4qbnczzo6ign12n9tkvap6zurshsbe0.png)