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Physics Lesson 12.3.5 - The Index of Refraction

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Welcome to our Physics lesson on The Index of Refraction, this is the fifth lesson of our suite of physics lessons covering the topic of Refraction of Light, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.

The Index of Refraction

As explained earlier, light moves at different speeds in different media. This causes diffraction. To express this phenomenon mathematically, a concept known as Index of Refraction is introduced. The index of refraction is denoted by n and it is calculated by

n = speed of light in vacuum/speed of light in the given medium

For example, since the light speed in air is about 300 000 km/s while in water it is 225 000 km/s, the refractive indexes in air and water are:

nair cvacuum/cair = 300 000 km/s/300 000 km/s = 1

and

nwater cvacuum/cwater = 300 000 km/s/225 000 km/s = 4/3 = 1.33

Example 1

The refractive index in glycerine is 1.46 and in diamond 2.4. Calculate the speed of light in glycerine and diamond.

Solution 1

From the formula of refractive index and giving that the speed of light in vacuum is 300 000 km/s, we obtain

nglycerine = cvacuum/cglycerine ⟹ cglycerine = cvacuum/nglycerine
= 300 000 km/s/1.46
= 205 000 km/s
ndiamond = cvacuum/cdiamond ⟹ cdiamond = cvacuum/ndiamond
= 300 000 km/s/2.4
= 125 000 km/s

Remark! Critical angle exists only when the incident medium is denser than the refractive medium as only in this case the refracted ray moves away from the normal line and so, the refraction angle becomes 900 before the incident angle.

You have reached the end of Physics lesson 12.3.5 The Index of Refraction. There are 7 lessons in this physics tutorial covering Refraction of Light, you can access all the lessons from this tutorial below.

More Refraction of Light Lessons and Learning Resources

Optics Learning Material
Tutorial IDPhysics Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
12.3Refraction of Light
Lesson IDPhysics Lesson TitleLessonVideo
Lesson
12.3.1Refraction in Water Waves as an Easier Way to Understand the Phenomenon of Light Refraction
12.3.2Refraction of Light Waves
12.3.3Laws of Refraction
12.3.4Critical Angle. Total Internal Reflection
12.3.5The Index of Refraction
12.3.6Snell's Law Equation on Refraction of Light
12.3.7Total Internal Reflection

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  6. Continuing learning optics - read our next physics tutorial: Interference and Diffraction of Light

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