What is the formula for calculating the speed of light in a medium?

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SUMMARY

The speed of light in a medium can be calculated using the formula \( v = \frac{c}{n} \), where \( c \) is the speed of light in a vacuum (approximately 299,792,458 m/s) and \( n \) is the refractive index of the medium. For water with a refractive index of 1.33, the speed of light is approximately 225,407,863 m/s. In diamond, with a refractive index of 2.42, the speed is about 123,900,000 m/s. For quartz, with a refractive index of 1.54, the speed is approximately 194,000,000 m/s.

PREREQUISITES
  • Understanding of the refractive index concept
  • Basic knowledge of the speed of light in a vacuum
  • Familiarity with algebraic manipulation of formulas
  • Access to scientific calculators or computational tools
NEXT STEPS
  • Research the properties of light in different media
  • Learn about the implications of refractive index on optical devices
  • Explore advanced topics in optics, such as Snell's Law
  • Investigate the speed of light in various materials beyond water, diamond, and quartz
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Students studying physics, optical engineers, and anyone interested in the behavior of light in different materials.

RoseCrye
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1.Find the speed of light in the following in m/s...


(a) water (n = 1.33)

(b) diamond (n = 2.42)

(c) quartz (n = 1.54)

i can't seem to get any of these right...
 
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Please show some work. Its the rules of the forum. We're not supposed to help you until you do.
 
looking for a formula...

G01 said:
Please show some work. Its the rules of the forum. We're not supposed to help you until you do.

ooops. sorry, didn't think about that. problem was, i wasn't even sure how to do it. didn't have a formula, and i couldn't find one. that was really what i was looking for... i'll try to be more specific next time.
 

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