Download the App!

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

$\bullet$ Parallel light rays with a wavelength of 600 nm fall on a sin-gle slit. On a screen 3.00 m away, the distance between thefirst dark fringes on either side of the central maximum is4.50 $\mathrm{mm} .$ What is the width of the slit?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

0.8 mm

Physics 102 Electricity and Magnetism

Physics 103

Chapter 26

Interference and Diffraction

Electromagnetic Waves

Reflection and Refraction of Light

University of Michigan - Ann Arbor

University of Washington

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.

02:08

Parallel light rays with a…

01:57

Light of wavelength $653 \…

01:04

03:46

(II) If a slit diffracts 5…

02:35

When violet light of wavel…

03:38

Light with a wavelength of…

01:51

02:27

The first two dark fringes…

Okey dokey. We have another single flit reflection problem. The wavelength of the light that's going through our split 600 nanometers Nano meters. The screen is a distance three meters away. And we know that the wits between the first dark fringes is 4.5 millimeters. I'm gonna call that too. Why? One for a reason. Im about his plan. Reno. All right, so this is our screen. The diffraction pattern that we see on the other side is gonna look a little bit like the swollen black. So am I. A big, fat, bright fringe in the middle. I have my dark fringes right here. Okay. The distance that they give us for this problem is the distance between the two dark fringes. Why? One is the distance from the center of the bright peak to the dark. Cringe. So that's why I put two times why one? Because it's just twice the distance company in a suite. All right, so our slit and our fringe distance is small compared to the distance of my screen, so I can use the small angle approximation that tells me that the why EMS are equal to our M lambda over. Hey, where I am is the distance between the center of the break fringe to your respective dark fringe is So This is why I want This is why two by three so on, right? And we want to know what is the width of this like. So if we solve this for a is equal to our and Lambda over why? And so in this case, we have m equals one one one. So I had a street plug this in our his three meters lambda was 600 Nana meters. So 600 times 10 to the minus nine meters And why one is half of that? So pull 4.5 over too. Millie. So 10 to the minus three meters. Right? So if I plug that into my Hindu Danny calculator, I get it Distance, eh? Is equal to 0.8 millimeters, you know? Yeah,

View More Answers From This Book

Find Another Textbook

Numerade Educator

02:45

Write the expression for the drift velocity of charge carriers in a conducto…

01:50

Stopping distance of a vehicles: when brakes are applied to a moving vehicle…

02:02

a force 200N pulls a sledge of mass 50kg andovercomes a constant frictional …

02:10

A particle moves along half the circumference of a circle of 1 meter radius.…

Describe a simple experiment to show that the total charge on a pair of obje…

02:54

can occur in liquid and gaseous substance.a. convection b. conduction c. ra…

Torque produced by a force about an axis can be zero if

02:00

In an experment, sohancovered a part of destarched leaf of a potted plan…

00:59

What are the following true about the formation of elements lighter than iro…

02:28

The weight of an object is more at the poles than at the equator on the surf…