Is my calculation for the speed of light through water correct?

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SUMMARY

The speed of light through water, calculated using the index of refraction of 1.333, is confirmed to be 2.25 x 10^8 meters per second. The calculation follows the formula where the speed of light in a medium is derived from the speed of light in a vacuum divided by the index of refraction. The equation used was 3 x 10^8 m/s divided by x, resulting in x equaling 2.25 x 10^8 m/s. This calculation is accurate and validated by forum participants.

PREREQUISITES
  • Understanding of the speed of light in a vacuum (3 x 10^8 m/s)
  • Knowledge of the index of refraction concept
  • Familiarity with basic algebraic manipulation
  • Awareness of the relationship between speed, distance, and time
NEXT STEPS
  • Research the concept of index of refraction in different mediums
  • Learn about the implications of light speed variations in various materials
  • Explore advanced optics principles, such as Snell's Law
  • Investigate the effects of temperature and pressure on the speed of light in water
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Students studying physics, educators teaching optics, and anyone interested in the properties of light in different mediums.

wakejosh
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Homework Statement


what is the speed of light through water? (the index of refraction is 1.333)


Homework Equations


speed of light/speed of light in X = index of refraction of X


The Attempt at a Solution



3x10^8/x = 1.333

x= 2.25 x 10^8


just looking for a double check to make sure I did this right. thanks,
 
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