MHB Index Refraction Yell Light Sodium Lamp Liquid 1.92E8m/s

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The speed of yellow light from a sodium lamp in a specific liquid is measured at 1.92E8 m/s. The refractive index of the liquid can be calculated using the formula n = c/v_n, where c is the speed of light in a vacuum (approximately 3E8 m/s). Substituting the values, the refractive index is determined to be approximately 1.56. This calculation highlights the relationship between the speed of light in different media and their refractive indices. Understanding this concept is crucial in optics and material science.
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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?
 
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skinnermitch said:
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 $$n = \dfrac{c}{v_n}$$Where $$n$$ is the refractive index, $$c$$ is the speed of light in a vacuum defined as ($$299,792,458 \text{ m/s} \approx 3 \times 10^8 \text{ m/s}$$) and $$v_n$$ is the speed of light in the medium in m/s

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

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

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