Calculating speed of light in substance

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SUMMARY

The discussion focuses on calculating the speed of light in a transparent substance using Snell's Law. The angle of incidence in water is 37 degrees, and the angle of refraction in the new medium is 25 degrees. To find the speed of light in the substance, one must first determine the index of refraction using the known index of water, approximately 1.3. The speed of light in the medium can then be calculated using the relationship between the index of refraction and the speed of light in a vacuum.

PREREQUISITES
  • Understanding of Snell's Law
  • Knowledge of the index of refraction
  • Familiarity with the speed of light in a vacuum
  • Basic trigonometry for angle calculations
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  • Learn how to apply Snell's Law in various scenarios
  • Research the concept of the index of refraction in different materials
  • Study the relationship between speed of light and index of refraction
  • Explore practical applications of light refraction in optics
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Students in physics, optical engineers, and anyone interested in the principles of light behavior in different media.

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A light ray initially in water enters a transparent substance at an angle of incidence of 37 degrees, and the transmitted ray is refracted at an an angle of 25 degrees. calculate the speed of light in the transparent substace.

I have my diagram drawn out, however i do not see how to solve for V (speed) using angles and what i have. I do not know which equations to use, very confuzed.
 
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Use Snell's law. You'll find the index of refraction of the medium and then the speed of light in the medium (see definition of index of refraction).
The index of water is supposed to be known (about 1.3)
 

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