Q19P The photograph of upconversion i... [FREE SOLUTION]

Chapter 20: Q19P (page 526)

The photograph of upconversion in Color Plate 21shows total internal reflection of the blue ray inside the cuvet. The angle of incidence of the blue ray on the wall of the cuvet is $~ 55 掳$ . We estimate that the refractive index of the organic solvent is 1.50and the refractive index of the fused-silicacuvet is 1.46. Calculate the critical angle for total internal reflection at the solvent/ silica interface and at the silica/air interface. From your calculation, which interface is responsible for total internal reflection in the photo?

Short Answer

Expert verified

The critical angle for total internal refractive index is $胃_{critical} = 76.7 掳胃_{critical} = 43.6 掳$ .

Step by step solution

Concept used.

The following formula may be used to calculate the critical angle for total internal reflection: $\sin (胃_{critical}) = \frac{n_{2}}{n_{1}}$

The critical angle.

The critical angle for the solvent/silica interaction is:

$\sin (胃_{critical}) = \frac{1.46}{1.5} \sin (胃_{critical}) = 0.9733 胃_{critical} = 76.7 掳$

The critical angle for the silica/air interaction is:

$\sin (胃_{critical}) = \frac{1}{1.45} \sin (胃_{critical}) = 0.6897 胃_{critical} = 43.6 掳$

The angle of incidence of the blue ray on the wall of the cuvet is $55 掳$ .Which is a smaller angle than the critical angle for the solvent/silica contact and a bigger angle than the critical angle for silica/air. As a result, the photo's whole internal reflection is caused by the silica/air contact.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Chemistry Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Short Answer

Step by step solution

Concept used.

The critical angle.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Nuclear Chemistry

Physical Chemistry

Chemistry Branches

Organic Chemistry

Ionic and Molecular Compounds

Kinetics

Study anywhere. Anytime. Across all devices.