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By how much do the critical angles for red (660 nm) and violet $(410 \mathrm{nm})$ light differ in a diamond surrounded by air?

For the red light, $\theta_{c}=24.51^{\circ},$ and for the violet light, $\theta_{c}=24.01^{\circ}$

Physics 103

Chapter 25

Geometric Optics

Reflection and Refraction of Light

University of Michigan - Ann Arbor

Hope College

University of Winnipeg

McMaster University

Lectures

02:30

In optics, ray optics is a…

10:00

In optics, reflection is t…

04:31

The indexes of refraction …

02:22

$\bullet$ The indices of r…

04:00

A diamond's index of …

02:06

For 589 -nm light, calcula…

04:40

A diamond in air is illumi…

01:39

01:17

A beam of white light goes…

02:21

A ray of sunlight is passi…

05:43

Light containing wavelengt…

01:56

Red light $(n=1.520)$ and …

02:19

Horizontal rays of red lig…

A light beam containing re…

01:40

(a) Calculate the critical…

04:08

A narrow beam of light con…

02:41

The index of refraction fo…

00:33

Determine the critical ang…

02:09

01:33

Light is incident upon a d…

05:28

05:15

This problem relates to Fi…

a critical angle. Critical angle for red for ah, red light represented by Capital R, is given by signing worse off um, signing worse off refracting depths off air which is an one divided by refractive index off, Diamond says the diamond is surrounded by hair. Therefore, be a refractory nicks and money's for air. Then that's obstructing the values we have here. So and worse off refractive index for air is one Where is for a diamond? For that light we have a fragment ticks off a 2.410 for a red light then dividing this term and taking the indoors we get the critical angle for a diamond is 24 point 45 degrees. So 45 degrees Where is a critical angle for one, It wasn't it. I kept all of you is again signing war so far perfecting next off air and one divided by your friend index off a diamond four in light of oil it then the substituting the values here, Sinan Worse off for air that is one divided by refractive index for a diamond. For the case off awhile it light. That is a 2.45 feet, then dividing this term by one and taking the in war. Sinan Worse, we get here critical angle for a while, right? His 23 point and nine degrees end off the problem. Thank you for watching.

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