Final answer:
The speed of light through the material with an index of refraction of 1.54 is approximately 1.95 × 10^8 m/s, which corresponds to option c. 1.9 × 10^8 m/s.
Step-by-step explanation:
The speed of light in a material can be calculated using the index of refraction n and the equation n = c/v, where c is the speed of light in vacuum and v is the speed of light in the material. Given that the index of refraction of the material is 1.54 and the speed of light in a vacuum is approximately 3.00 × 10^8 m/s, we can rearrange the equation to solve for v: v = c/n. Therefore, the speed of light through this material is v = (3.00 × 10^8 m/s) / 1.54, which calculates to approximately 1.95 × 10^8 m/s. The correct answer is c. 1.9 × 10^8 m/s.