/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q65P Question: Figure depicts a simpl... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 33: Q65P (page 1006)

Question: Figure depicts a simplistic optical fiber: a plastic core(n1=1.58)is surrounded by a plastic sheath (n2=1.53). A light ray is incident on one end of the fiber at angle.The ray is to undergo total internal reflection at point A, where it encounters the core鈥搒heath boundary. (Thus there is no loss of light through that boundary.) What is the maximum value of 胃that allows total internal reflection at A?

Figure:

Short Answer

Expert verified

The maximum value of 胃that allows total internal reflection at A is 23.2鈭�.

Step by step solution

01

Given

  1. Refractive index of the plastic core,n1=1.58
  2. Refractive index of the plastic sheath,n2=1.53
02

Understanding the concept

By using the concept of the critical angle and Snell鈥檚 law, we can find the value of 胃that allows the total internal reflection.

Formula:

Critical angle is

胃c=sin-1n2n1

Snell鈥檚 law is :

n1蝉颈苍胃1=n2蝉颈苍胃2

03

Calculate the maximum value of θ that allows total internal refection at A.

The critical angle is given by

胃c=sin-1n2n1胃c=sin-11.531.58=75.547鈭�

So, by geometry, the incident angle is

胃1=90-胃c胃1=90-75.547o=14.45鈭�

Now, we have to apply Snell鈥檚 law,

nairsin胃=n1sin胃1

Since nair=1

sin胃=1.58sin14.45鈭�sim胃=0.3942胃=23.2鈭�

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

Most popular questions from this chapter

As a comet swings around the Sun, ice on the comet鈥檚 surface vaporizes, releasing trapped dust particles and ions. The ions, because they are electrically charged, are forced by the electrically charged solar wind into a straight ion tail that points radially away from the Sun (Fig. 33-39). The (electrically neutral) dust particles are pushed radially outward from the Sun by the radiation force on them from sunlight. Assume that the dust particles are spherical, have density3.5脳103鈥塳驳/尘3 , and are totally absorbing

.(a) What radius must a particle have in order to follow a straight path, like path 2 in the figure?

(b) If its radius is larger, does its path curve away from the Sun (like path 1) or toward the Sun (like path 3)?

In Fig. 33-42, unpolarized light is sent into a system of three polarizing sheets. The angles胃1,鈥�胃2and胃3of the polarizing directions are measured counterclockwise from the positive direction of the yaxis (they are not drawn to scale). Angles胃1and 胃3are fixed, but angle 胃2can be varied. Figure 33-43 gives the intensity of the light emerging from sheet 3 as a function of 胃2. (The scale of the intensity axis is not indicated.) What percentage of the light鈥檚 initial intensity is transmitted by the system when 胃2=30掳?

A small spaceship with a mass of only1.5脳103kg (including an astronaut) is drifting in outer space with negligible gravitational forces acting on it. If the astronaut turns on a 10kw laser beam, what speed will the ship attain in 1.0 day because of the momentum carried away by the beam.

A plane electromagnetic wave has a maximum electric field magnitude of3.20脳10-4V/m. Find the magnetic field amplitude.

A beam of polarized light is sent into a system of two polarizing sheets. Relative to the polarization direction of that incident light, the polarizing directions of the sheets are at angles 胃for the first sheet and 90掳for the second sheet. If 0.10of the incident intensity is transmitted by the two sheets, what is 胃?
See all solutions

Recommended explanations on Physics Textbooks

Physics of Motion

Read Explanation

Electricity

Read Explanation

Wave Optics

Read Explanation

Torque and Rotational Motion

Read Explanation

Fluids

Read Explanation

Medical 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.