Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

$\bullet$ A light beam travels at $1.94 \times 10^{8} \mathrm{m} / \mathrm{s}$ in quartz. The wavelength of the light in quartz is 355 $\mathrm{nm}$ . (a) What is the index of refraction of quartzat this wavelength? (b) If this same light travels through air, what is its wavelength there?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

$a ) 1.546$b) 548.97$n m$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 23

Electromagnetic Waves and Propagationof Light

Electromagnetic Waves

Reflection and Refraction of Light

Simon Fraser University

Hope College

McMaster University

Lectures

02:30

In optics, ray optics is a geometric optics method that uses ray tracing to model the propagation of light through an optical system. As in all geometric optics methods, the ray optics model assumes that light travels in straight lines and that the index of refraction of the optical material remains constant throughout the system.

10:00

In optics, reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The law of reflection says that for specular reflection the angle at which the wave is incident on the surface equals the angle at which it is reflected. Reflection may also be referred to as "mirror image" or "specular reflection". Refraction is the change in direction of a wave due to a change in its speed. The refractive index of a material is a measure of its ability to change the direction of a wave. A material with a higher refractive index will change the direction of a wave to a greater degree than a material with a lower refractive index. When a wave crosses the boundary between two materials with different refractive indices, part of the wave is refracted; that is, it changes direction. The ratio of the speeds of propagation of the two waves determines the angle of refraction, which is the angle between the direction of the incident and the refractive rays.

03:34

A light beam travels at $1…

07:16

0:00

01:49

A light beam travels at 1.…

01:06

Suppose light with a wavel…

00:54

$\bullet$ The speed of lig…

01:27

The index of refraction of…

01:08

Light of wavelength 692 nm…

01:00

The wavelength of yellow s…

04:12

A beam of light has a wave…

Light with a frequency of …

01:21

$\bullet$ Light with a fre…

04:39

(a) What is the wavelength…

before we start, let's write out any required equations we're going to need. So first, we're gonna need the definition of the index of refraction and the definition is the speed of light over the speed of the medium that the wave is moving through. We're also going to need the effect on the wavelength of the medium with respect to the index of refraction. So the wavelength in the medium is equal to the regular wavelength in vacuum over the index of refraction of the medium. And so these are the two forms were going to use in part A. They give us the velocity and ports and so we could display in into this top one Speed delights of Constance three times 10 to the eighth meters per second. And the speed they give us is 1.94 times 10 to the eight meers for second. And so doing this out gives us an annex for a fraction of 1.55 Once we know that the index of refraction, of course, is 1.55 we can use this formula to figure out the effect of the wavelength. And so our actual unknown is landed, not here in the vacuum. And so this is equal to in times Landa and they tell us the land, Uh, that is the wavelength in courts. So in his 1.55 in the wavelength and courses 3.55 times, 10 to the minus seven. And so this ends up being 5.5 Kristen No. Seven meters. And so this is the Waverly in the vacuum and

View More Answers From This Book

Find Another Textbook

Numerade Educator

06:44

A magnetic field of 37.2 T has been achieved at the MIT FrancisBitter Na…

04:04

A 5.00-kg box sits on a ramp that is inclined at 38.1 degrees∘above the …

02:15

A rope, attached to a weight, goes up through a pulley at theceiling and…

03:21

A 3.0- cm -tall object is 10 cm in front of a diverging mirrorthat has a…

03:19

A flywheel(disk) initially spinning at 1850 rpm counterclockwiseis broug…

06:49

A cab driver heads south with a steady speed of v1 = 22.0 m/sfor t1 = 3.…

05:37

A 5.68 kg rock is dropped and allowed to fall freely.A) Find the initial…

01:07

The accommodation limits for a nearsighted person's eyes are20.0 cm…

03:39

Derive the Maxwell equations for F (Helmholtz Free Energy) and G(Gibbs F…

01:51

FIND the relative populations of the two states in Nd:YAG laserthat prod…