the speed of light in a vacuum is approximately 2.99×10^8 m/s, and the speed of light through a piece of…
the speed of light in a vacuum is approximately 2.99×10^8 m/s, and the speed of light through a piece of glass is approximately 1.97×10^8 m/s. what is the index of refraction for the piece of glass? 0.66 1.52 1.02×10^8 4.96×10^8
Answer
Explanation:
Step1: Recall refractive - index formula
The formula for the index of refraction $n$ is $n=\frac{c}{v}$, where $c$ is the speed of light in a vacuum and $v$ is the speed of light in the medium.
Step2: Substitute the given values
Given $c = 2.99\times10^{8}\text{ m/s}$ and $v=1.97\times 10^{8}\text{ m/s}$. Then $n=\frac{2.99\times 10^{8}}{1.97\times 10^{8}}$.
Step3: Calculate the value of $n$
The $10^{8}$ terms cancel out, and $\frac{2.99}{1.97}\approx1.52$.
Answer:
B. 1.52