Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 33: Q 69P (page 1006)

Question: Light that is traveling in water (with an index of refraction of 1.33) is incident on a plane of glass (with index of refraction of 1.53). At what angle of incidence does the reflected light end up fully polarized?

Short Answer

Expert verified

The angle of incidence for which the reflected ray is fully polarized is49o.

Step by step solution

01

Given

  1. The refractive index of water isn1=1.33
  2. The refractive index of glass is n2=1.53
02

Understanding the concept

Brewster’s angle is the angle of incidence, of a light travelling from the rarer to the denser medium, for which the reflected ray is polarized.

Formula:

Brewster’s angle

θB=tan-1n2n1

03

Calculate the value of n3.

The angle of incidence, at which the reflected light is fully polarized, is-

θB=tan-1n2n1=tan-11.531.33=49∘

The reflected light is fully polarized for the angle of incidence 49∘.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

Unpolarized light of intensity 10 mW/m2is sent into a polarizing sheet as in Fig.33-11. What are

(a) the amplitude of the electric field component of the transmitted light and

(b) the radiation pressure on the sheet due to its absorbing some of the light?

In Fig. 33-40, initially unpolarized light is sent into a system of three polarizing sheets whose polarizing directions make angles of θ1=40°, θ2=20°, andθ2=40°with the direction of theyaxis. What percentage of the light’s initial intensity is transmitted by the system? (Hint: Be careful with the angles.)

Question: The index of refraction of benzene is1.8. What is the critical angle for a light ray traveling in benzene toward a flat layer of air above the benzene?

Rainbow Figure 33-67 shows a light ray entering and then leaving a falling, spherical raindrop after one internal reflection (see Fig. 33-21a). The final direction of travel is deviated (turned) from the initial direction of travel by angular deviation
θdev. (a) Show that localid="1664200532112" θdev is localid="1664200226807" θdev=180°+2θi-4θr , where localid="1664200612169" θiis the angle of incidence of the ray on the drop and localid="1664200615282" θris the angle of refraction of the ray within the drop. (b) Using Snell’s law, substitute for localid="1664200618431" θrin terms of localid="1664200621396" θiand the index of refraction n of the water. Then, on a graphing calculator or with a computer graphing package, graph localid="1664200624361" θdevversus localid="1664200627334" θifor the range of possible localid="1664200636137" θivalues and for localid="1664200630531" n=1.333for red light (at one end of the visible spectrum) and localid="1664200633245" n=1.331for blue light (at the other end). The red-light curve and the blue-light curve have a different minimum, which means that there is a different angle of minimum deviation for each color. The light of any given color that leaves the drop at that color’s angle of minimum deviation is especially bright because rays bunch up at that angle. Thus, the bright red light leaves the drop at one angle and the bright blue light leaves it at another angle minimum deviation from the localid="1664200639414" θdevcurve for (c) red light and (d) blue light. (e) If these colors form the inner and outer edges of a rainbow (Fig. 33-21a), what is the angular width of the rainbow?

Question: An electromagnetic wave with frequency 4.00×1014Hztravels through vacuum in the positive direction of an xaxis. The wave has its electric field oscillating parallel to the y axis, with an amplitude Em. At time t=0, the electric field at point Pon the xaxis has a value of +Em4and is decreasing with time. What is the distance along the xaxis from point Pto the first point withE=0if we search in (a) the negative direction and (b) the positive direction of the x axis?
See all solutions

Recommended explanations on Physics Textbooks

Linear Momentum

Read Explanation

Electrostatics

Read Explanation

Translational Dynamics

Read Explanation

Fluids

Read Explanation

Modern Physics

Read Explanation

Energy Physics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free