Question

A) Explain the working principle of the prism made by a SiO2 (glass) (You can use white light (different wavelengths)) Also, you can show the prism structure and use different angles (constant angle 30 degrees for example) to illustrate, and calculate the angle of refraction from the structure using the Snell's Law. B) Use Snell's Law to show mathematically the deviation of the refracted angles of the light according to the wavelength. Use at least 5 different wavelengths inside visible spectrum. C) Make MATLAB animation. Animation should display how light rays with different wavelengths refracts with different angles inside a prism and exit the prism with different angles. You can use $n(\lambda)$ dispersion table of the glass.

          A) Explain the working principle of the prism made by a SiO2 (glass)
(You can use white light (different wavelengths)) Also, you can show the prism structure and
use different angles (constant angle 30 degrees for example) to illustrate, and calculate the
angle of refraction from the structure using the Snell's Law.
B) Use Snell's Law to show mathematically the deviation of the refracted angles of the light
according to the wavelength. Use at least 5 different wavelengths inside visible spectrum.
C) Make MATLAB animation. Animation should display how light rays with different wavelengths
refracts with different angles inside a prism and exit the prism with different angles. You can
use $n(\lambda)$ dispersion table of the glass.

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$A) Explain the working principle of the prism made by a SiO2 (glass) (You can use white light (different wavelengths)) Also, you can show the prism structure and use different angles (constant angle 30 degrees for example) to illustrate, and calculate the angle of refraction from the structure using the Snell's Law. B) Use Snell's Law to show mathematically the deviation of the refracted angles of the light according to the wavelength. Use at least 5 different wavelengths inside visible spectrum. C) Make MATLAB animation. Animation should display how light rays with different wavelengths refracts with different angles inside a prism and exit the prism with different angles. You can use n(λ) dispersion table of the glass.$

Added by Riley A.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Jeff Vermeire

05/07/2022

Step 1

When white light enters the prism, it is made up of different wavelengths, each corresponding to a different color. As the light passes through the prism, it undergoes refraction, which is the bending of light as it passes from one medium to another. The Show more…

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Please solve clearly and ASAP. Solve all of these, please. A) Explain the working principle of the prism made by SiO2 (glass). You can use white light (different wavelengths). Also, you can show the prism structure and use different angles (constant angle of 30 degrees, for example) to illustrate and calculate the angle of refraction from the structure using Snell's Law. B) Use Snell's Law to show mathematically the deviation of the refracted angles of the light according to the wavelength. Use at least 5 different wavelengths inside the visible spectrum. C) Create a MATLAB animation. The animation should display how light rays with different wavelengths refract with different angles inside a prism and exit the prism with different angles. You can use the dispersion table of the glass.

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Transcript

00:01 So we have this prism here, and light enters it parallel to the base.

00:05 And then when it exits the prism, it disperses into a rainbow.

00:10 And we want to calculate the exact angle of emergence of the red light and the blue light.

00:18 And then calculate the dispersion angle, which is just the difference between the two.

00:23 And to do that, we're going to use snell's law.

00:26 But before i do that, i just want to point out a couple of things about this diagram here.

00:31 Like i mentioned earlier, the light enters parallel to the base.

00:35 And since the base here is the 30 degrees, that means this angle here must also be 30 degrees.

00:43 And since i've drawn this here is a right angle, and this angle must be 60.

00:49 And i can use that to calculate alpha.

00:52 And if you'll be this triangle with the red, green, and white line, i have the right angle here and the two angles, alpha, and beta.

01:01 Which means that alpha plus beta must equal 90 degrees.

01:07 Anyway, moving on, you can start with either the red or the blue, but i'm just going to start with the red.

01:15 So the light enters the prism from the air.

01:19 We have one times the sign of 60 degrees equal 1 .307.

01:26 The sign of alpha.

01:29 We're going to solve this for alpha.

01:31 We get alpha equals the arc sine.

01:36 Of 60 degrees divided by 1 .307.

01:44 That's supposed to be a 7.

01:48 And that ends up equaling 41 .5 degrees...

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