Index Refraction Yell Light Sodium Lamp Liquid 1.92E8m/s

[skinnermitch]

The Speed of yellow light( from a sodium lamp) in a certain liquid is measured to be 1.92E8 m/s. What is the index of refraction of this liquid for the light?

 

[SuperSonic4]

The Speed of yellow light( from a sodium lamp) in a certain liquid is measured to be 1.92E8 m/s. What is the index of refraction of this liquid for the light?

The refractive index for a given medium is given by \(\displaystyle n = \dfrac{c}{v_n}\)Where \(\displaystyle n\) is the refractive index, \(\displaystyle c\) is the speed of light in a vacuum defined as (\(\displaystyle 299,792,458 \text{ m/s} \approx 3 \times 10^8 \text{ m/s}\)) and \(\displaystyle v_n\) is the speed of light in the medium in m/s

In your case \(\displaystyle c = 299792458 \text{ m/s}\) and \(\displaystyle v_n = 1.92 \times 10^8 \text{ m/s}\)

nb: Some books don't mind you using 3E8, others do.