Speed of light in certain medium

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SUMMARY

The speed of light in a medium is determined by its refractive index, as described by the equation n = c/v. In the given problem, light travels at speed c1 in a medium with a refractive index of 1.2. When transitioning to a medium with a refractive index of 1.6, the speed of light is calculated using the formula v2 = v1 * n1/n2, resulting in a speed of 0.75 c1. However, this value does not match any of the provided answer choices, indicating a potential issue with the question's parameters.

PREREQUISITES
  • Understanding of refractive index and its implications on light speed
  • Familiarity with the equation n = c/v
  • Basic algebra for manipulating equations
  • Knowledge of light behavior in different media
NEXT STEPS
  • Review the concept of refractive index and its calculation
  • Explore the relationship between light speed and different materials
  • Investigate common problems involving light refraction
  • Learn about the implications of light speed in optics and physics
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Students studying physics, particularly those focusing on optics, as well as educators seeking to clarify concepts related to light speed and refractive indices.

songoku
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Homework Statement


Light travels at different speed through different materials. If it travels at speed c1 in a medium of refractive index 1.2, what is its speed in a medium of refractive index 1.6

a. 1.3 c1
b. 0.67 c1
c. 2 c1
d. 1.7 c1
e. 0.55 c1

Homework Equations


n=\frac{c}{v}


The Attempt at a Solution


n1 v1 = n2 v2

v2 = v1 * n1/n2 = 1.2/1.6 * c1 = 0.75 c1 ??
 
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Your answer is correct, but there is no choice!
Check the question. Whether the light is entering from air to medium in both the case?
 
Hi Mr. rl.bhat

That's all the question. Thanks a lot for your help :smile:
 

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