Find Speed of Light in Medium with Index of Refraction

You can use 300,000 km/s since it is the speed of light in a vacuum. However, if you are given the index of refraction for a specific medium, you can use the equation n=c/v to solve for the speed of light in that medium. In summary, to find the speed of light in a given medium when only supplied with the index of refraction, you can use the equation n=c/v and plug in the known value for the index of refraction and solve for the speed of light in that medium. If you are given the index of refraction for a vacuum, you can use the speed of light in a vacuum, which is 300,000 km/s.
  • #1
oooo
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I am having a little bit of trouble finding the speed of light in a given medium when you are only supplied with the index of refraction. For example, I was given that n=1.36 in ethanol, and I had to find the speed of sound in ethanol. I know the equation for the index of refraction is n=c/v, but I am having problems with actually using it. For example, when only given that the index in a vacuum is 1.0, how do you know the speed, or do you use 300,000 km/s? Just a little bit confused here.
 
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  • #2
the index of refraction = speed of light in vaccuum/speed of light in the medium.

put in the knowns. solve for the unknowns.
 
  • #3
oooo said:
. For example, when only given that the index in a vacuum is 1.0, how do you know the speed, or do you use 300,000 km/s? .

you already know the answer.
 

FAQ: Find Speed of Light in Medium with Index of Refraction

What is the index of refraction and how does it relate to the speed of light in a medium?

The index of refraction is a measure of how much a material slows down the speed of light as it passes through. It is defined as the ratio of the speed of light in a vacuum to the speed of light in the medium. The higher the index of refraction, the slower light travels in that medium.

How is the speed of light in a medium calculated using the index of refraction?

The speed of light in a medium can be calculated by dividing the speed of light in a vacuum by the index of refraction of that medium. This formula is represented as c = c0/n, where c is the speed of light in the medium, c0 is the speed of light in a vacuum, and n is the index of refraction.

What is the speed of light in a vacuum and why is it important to use it in this equation?

The speed of light in a vacuum is approximately 299,792,458 meters per second, and it is the fastest speed at which light can travel. It is important to use this value in the equation because it serves as a reference point for calculating the speed of light in other mediums.

How does the index of refraction vary for different materials?

The index of refraction varies for different materials because it is dependent on the density and composition of the material. Materials with higher densities and more complex structures tend to have higher indices of refraction, leading to a slower speed of light in those mediums.

Can the speed of light in a medium ever exceed the speed of light in a vacuum?

No, the speed of light in a vacuum is the maximum speed at which light can travel. The index of refraction can never be lower than 1, which would result in a speed of light in a medium that is faster than the speed of light in a vacuum.

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