/*! 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} Q20E What is the wavelength of a neut... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q20E (page 134)

What is the wavelength of a neutron of kinetic energy 1MeV? Of kinetic energy20eV? (The difference is important for the fission of uranium, as a neutron will be more easily absorbed when its wavelength is very large compared with the dimensions of the wavelength behaves more like a diffuse wave than like a localized particle)

Short Answer

Expert verified

The wavelength of Neutron of kinetic energy

位1MeV=2.87脳10-14鈥�m

位20eV=6.41脳10-12鈥�m

Step by step solution

01

Step 1:Given data.

Given that the neutron's K.E. is 1鈥塎别痴and20鈥�eV

02

Wavelength of the neutron with the known kinetic energy

KE=p22mKE=h2/位22m位=h2m脳KE

03

Wavelength for the Kinetic Energy of20 eV .

KE=20鈥塭痴=32脳10-19鈥塉

位=6.63脳10-34鈥�J鈰�s2脳(1.67脳10-27鈥�kg)脳(32脳10-19鈥�J)=6.41脳10-12m

Therefore, the wavelength of Neutron of kinetic energy

(a)位1MeV=2.87脳10-14鈥�m

(b)位20eV=6.41脳10-12鈥�m

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

To how small a region must an electron be confined for borderline relativistic speeds say0.05to become reasonably likely? On the basis of this, would you expect relativistic effects to be prominent for hydrogen's electron, which has an orbit radius near10-10m? For a lead atom "inner-shell" electron of orbit radius10-12m?

In Section 4.3, it is shown that唯(x,t)=Ae颈(办虫-蝇t)satisfies the free-particle Schr枚dinger equation for allxandt, provided only that the constants are related by(鈩�k)2/2m=鈩�蝇. Show that when the function,唯(x,t)=Acos(kx鈭�0x)is plugged into the Schrodinger equation, the result cannot possibly hold for all values of x and t, no matter how the constants may be related.

The uncertainty in the position of a baseball of mass0.145kgis渭m.What is the minimum uncertainty in its speed?

In the hydrogen atom, the electron鈥檚 orbit, not necessarily circular, extends to a distance of a about an angstrom (1脜=0.1鈥塶尘)from the proton. If it is to move about as a compact classical particle in the region where it is confined, the electron鈥檚 wavelength had better always be much smaller than an angstrom. Here we investigate how large might be the electron鈥檚 wavelength. If orbiting as a particle, its speed at 1脜could be no faster than that for circular orbit at that radius. Why? Find the corresponding wavelength and compare it to1脜 . Can the atom be treated classically?

Question: Analyzing crystal diffraction is intimately tied to the various different geometries in which the atoms can be arranged in three dimensions and upon their differing effectiveness in reflecting waves. To grasp some of the considerations without too much trouble, consider the simple square arrangement of identical atoms shown in the figure. In diagram (a), waves are incident at angle with the crystal face and are detected at the same angle with the atomic plane. In diagram (b), the crystal has been rotated 450 counterclockwise, and waves are now incident upon planes comprising different sets of atoms. If in the orientation of diagram (b), constructive interference is noted only at an angle, 胃=40掳at what angle(s) will constructive interference be found in the orientation of diagram (a)? (Note: The spacing between atoms is the same in each diagram.)
See all solutions

Recommended explanations on Physics Textbooks

Medical Physics

Read Explanation

Torque and Rotational Motion

Read Explanation

Fields in Physics

Read Explanation

Electromagnetism

Read Explanation

Solid State Physics

Read Explanation

Physics of Motion

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.