Find the speed of light in silica

In summary, the speed of light in silica can be found by manipulating the equation [n = c/v] and plugging in the values of the wavelength (559nm) and index of refraction (1.437), resulting in a speed of (8.03 * 10^-7) m/s.
  • #1
stickyriceyum
4
0

Homework Statement


Light of wavelength 559nm in vacuum passes through a piece of silica (index of refraction 1.437). Find the speed of light in silica. Answer in units of m/s

Homework Equations


Index of Refraction = Speed of Light in Vacuum/Speed of Light in Substance
[n = c/v]

The Attempt at a Solution


Manipulate: [n = c/v] ---> [cn = v]
Plug in: (5.59 * 10^-7) (1.437) = (8.03 * 10^-7)

I converted 559nm to (5.59 * 10^-7) meters

It seems like a simple enough problem, but my answer is incorrect! =(
 
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  • #2
Hi stickyriceyum! :smile:
stickyriceyum said:
Manipulate: [n = c/v] ---> [cn = v]
Plug in: (5.59 * 10^-7) (1.437) = (8.03 * 10^-7)


erm :redface: … try using c :wink:
 
  • #3
I got it =D Thank you!
 

1. What is the speed of light in silica?

The speed of light in silica, also known as the refractive index, is approximately 1.45 x 10^8 meters per second. This value may vary slightly depending on the composition and purity of the silica material.

2. How is the speed of light in silica measured?

The speed of light in silica can be measured using a variety of techniques, such as interferometry or time-of-flight measurements. These methods involve directing a beam of light through a silica sample and measuring the time it takes for the light to travel through the material.

3. Why is it important to know the speed of light in silica?

Knowing the speed of light in silica is important for a variety of reasons. Silica is commonly used in optical fibers, lenses, and other optical components, so understanding its properties is crucial for designing and optimizing these technologies. Additionally, the speed of light in silica can also provide valuable information about the composition and quality of the material.

4. How does the speed of light in silica compare to other materials?

The speed of light in silica is relatively high compared to other materials. For example, the speed of light in air is approximately 3 x 10^8 meters per second, while in water it is around 2.3 x 10^8 meters per second. However, it is slower than the speed of light in a vacuum, which is the fastest possible speed at approximately 3 x 10^8 meters per second.

5. Does the speed of light in silica change under different conditions?

Yes, the speed of light in silica can change under different conditions. For example, the refractive index of silica can vary based on temperature, pressure, and the wavelength of the light passing through it. This is why it is important to carefully control these variables when measuring the speed of light in silica in a laboratory setting.

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