/*! 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} Q47P Light in a vacuum is incident on... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Light in a vacuum is incident on the surface of a glass slab. In the vacuum, the beam makes an angle of32.0°with the normal to the surface, while in the glass it makes an angle of21.0°with the normal. What is the index of refraction of the glass?

Short Answer

Expert verified

The refractive index of glass is1.48 .

Step by step solution

01

 Step 1: Given

  • The vacuum beam makes an angle ofθ2=32°
  • The Refractive index of vacuum isn2=1
  • Glass makes an angle ofθ1=21°
02

Determining the concept

Here use the formula for Snell’s law, which gives the relation between the angle of incidence and angle of refraction.

The formula is as follows:

n1²õ¾±²Ô θ1=n2²õ¾±²Ô θ2

03

Determining therefractive index of glass is  1.48

Use Snell’s law.

n1²õ¾±²Ô θ1=n2²õ¾±²Ô θ2n1=n2²õ¾±²Ô θ2²õ¾±²Ô θ1n1=1sin(32)sin(21)n1=1.4786≈1.48

So, the refractive index of glass is 1.48.

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 91Ó°ÊÓ!

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

(a) Figure 33-27 shows light reaching a polarizing sheet whose polarizing direction is parallel to a y axis. We shall rotate the sheet 40° clockwise about the light’s indicated line of travel. During this rotation, does the fraction of the initial light intensity passed by the sheet increase, decrease, or remain the same if the light is (a) initially unpolarized, (b) initially polarized parallel to the x axis, and (c) initially polarized parallel to the y axis?

In Fig. 33-78, where n1=1.70, n2=1.50,andn3=1.30,light refracts from material 1 into material 2. If it is incident at point A at the critical angle for the interface between materials 2 and 3, what are (a) the angle of refraction at pointBand (b) the initialangleθ?If, instead, light is incident atBat the critical angle for the interface between materials 2 and 3, what are (c) the angle of refraction at pointAand (d) the initial angleθ? If, instead of all that, light is incident at point Aat Brewster’s angle for the interface between materials 2 and 3, what are (e) the angle of refraction at point B and (f) the initialangleθ?

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 θfor the first sheet and 90°for the second sheet. If 0.10of the incident intensity is transmitted by the two sheets, what is θ?

About how far apart must you hold your hands for them to be separated by 1.0nanolightsecond(the distance light travels in1.0ns)?

Figure 33-31 shows the multiple reflections of a light ray along a glass corridor where the walls are either parallel or perpendicular to one another. If the angle of incidence at point a is30°, what are the angles of reflection of the light ray at points b, c, d, e, and f?

See all solutions

Recommended explanations on Physics Textbooks

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.