Download the App!

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

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Integrated Concepts(a) Calculate the velocity of electrons that form the same pattern as 450-nm light when passed through a double slit. (b) Calculate the kinetic energy of each and compare them. (c) Would either be easier to generate than the other? Explain.

a) $1.62 \times 10^{3} \mathrm{m} / \mathrm{s}$b) $1.19 \times 10^{-24} \mathrm{J}$, $4.41 \times 10^{-19} \mathrm{J}$c) The light is probably easier to make because 450 $\mathrm{nm}$ light is blue light and therefore is easy to get the electron at a velocity of 1.62 $\mathrm{km} / \mathrm{s}$ .

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

University of Sheffield

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

07:33

Integrated Concepts(a)…

02:54

Predict/Calculate An elect…

02:07

(a) Calculate the momentum…

04:43

(a) Calculate the momentu…

07:30

Integrated ConceptsA l…

05:41

06:43

04:59

Find the speed of an elect…

04:22

The rest energy of an elec…

05:52

In a beam of electrons use…

02:26

Calculate the energy in el…

05:32

A beam of electrons is acc…

06:01

03:26

Find (a) the speed associa…

08:53

Calculate the speed of (a)…

09:05

An electron and a positron…

03:58

An electron moves through …

04:46

A Calculate the energy, in…

02:47

(a) What is the speed $v$ …

04:16

Express in $\mathrm{eV}$ (…

so in this problem. Ah, suppose so. We won't. We have the same. We have the same double slit experiment. But the one of them is Ah, we used electron and the other one We use the photo and to make sure that they have the same pattern eso we need. Thio said it's fine. Some requirement. So for the double slit experiment, we know the formula. The science data equal M times Nonda. Right? So I am Here is the imager and the theatre here represented Ah, so yeah, this is the This is the double slit and this is a screen. So these angles data, okay. And a D here eyes the separation of the two slits and London is the wetlands. So if we want to make sure that the electron, the proton, they have the same pattern we need to make sure that landa off the electron equal to the land of the photo. So in that case, we can see that this equal full 50 centimeters. Right? So, uh, the lawyer we've leads off the lecturing that case equal full 50 nanometers. So we have expression. Ah, he which is moment, um, off the electron equal h over on the right. So this gives you Ah, the this gives you the moment, um, off this electron and this also equal and times be so am is the mass of the electron and a visa velocity. So so for the velocity And I'm turned out to be equal 1.62 times 10 to the third meters a second. Okay? And in part B, we want to find out Ah, kind that energy of the electoral and the kind of energy of the photo. So kind of image of the electron equal half and be squid, Right? So he's the one that we found here. And M is the mass of electron. So this gives you 7.46 times 10 to the negative six electoral votes and the kind of energy off the photo, which is also the energy of the Motown equal age times. See, over lambda Lambda is the wavelengths of the photo, which is full 50 nanometers. So I can see that this equal to point 76 Electra balls. So as you could see that the photo energy is much larger than the electro energy and in part, see Ah, so sorry. In Parsi, if you only look at ah, if you only look out to the energy So it seems that Ah, because, uh, the energy of the photons larger is actually much larger than the energy of the electron. Seems that the it is much easier to create the electron, but to the answer's no. Because the energy of the electrons to is too small. It's only about 10 to the negative six electricals. So to create the electron with such more energy, you need a unit, the environment, which is which is which is like a vacuum. Okay, we do know we can not have any particle inside. And if you have any particle inside this particle, we would just interfere with this electron and the election. Well, two extra speed and that we'll give you that. Well, ah ah Somehow destroy experiments. So, uh, but if you look at the energy of this photo or you only you just look at the wavelengths of the foe town. So it's for 50 nanometers. So basically it is inside the visible ranch. Right? So it is it is it Is it? Ah, is blue light I remember. So the bullet is everywhere, so it is very easy to create such kind off a photo

View More Answers From This Book

Find Another Textbook

In physics, wave optics is the study of the behavior of light, or other elec…

Interference is a phenomenon in which two waves superpose to form a resultan…

Integrated Concepts(a) What is $\gamma$ for an electron emerging from th…

Predict/Calculate An electron and a proton have the samedc Broglie wavel…

(a) Calculate the momentum of a photon having a wavelength of 2.50 ?m . (b) …

(a) Calculate the momentum of a photon having a wavelength of $2.50 \mu \ma…

Integrated ConceptsA laser with a power output of 2.00 mW at a wavelengt…

Integrated Concepts(a) What is the separation between double slits that …

(a) Calculate the momentum of a 2.5- $\mu$ m photon. (b) Find the velocity o…

Find the speed of an electron with kinetic energy (a) $100 \mathrm{eV}$(…

The rest energy of an electron is $0.511 \mathrm{MeV}$. The rest energy of a…

In a beam of electrons used in a diffraction experiment, each electron is ac…

Calculate the energy in electron volts of (a) an electron that has de Brogli…

A beam of electrons is accelerated from rest and then passes through a pair …

The rest energy of an electron is 0.511 MeV. The rest energy of a proton is …

Find (a) the speed associated with an electron whose kinetic energy is equal…

Calculate the speed of (a) an electron and (b) a proton with a kinetic energ…

An electron and a positron are moving toward each other and each has speed 0…

An electron moves through a region of uniform electric potential of $-200 \m…

A Calculate the energy, in electron volts, of a photon whose frequency is (a…

(a) What is the speed $v$ of an electron whose kinetic energy is $14,000$ ti…

Express in $\mathrm{eV}$ (or keV or MeV if more appropriate):a. The kine…

01:16

Do the unit conversions necessary to show that $h c=1240 \mathrm{eV} \cdot \…

01:04

What is the wavelength of an electron accelerated through a 30.0-kV potentia…

01:24

What are the three smallest non-zero thicknesses of soapy water ( n = 1.33 )…

02:16

How many photons per second are emitted by the antenna of a microwave oven, …

01:12

Show that if you have three polarizing filters, with the second at an angle …

00:52

The kinetic energy of an electron accelerated in an x-ray tube is 100 keV. A…

01:33

At what velocity does a proton have a 6.00 -fm wavelength (about the size of…

04:03

Integrated Concepts(a) Calculate the velocity of electrons that form the…

03:00

(a) If the power output of a 650-kHz radio station is 50.0 kW, how many phot…

00:34

What angle is needed between the direction of polarized light and the axis o…