Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 6: Q5E (page 1314)

An electron is moving with a speed of 8.00 x 106 m/s. What is the speed of a proton that has the same de Broglie wavelength as this electron?

Short Answer

Expert verified

The wavelength of alpha-particle is 7.01 femtometer.

Step by step solution

01

Given Data

According to de Broglie, Light has dual nature as in some situations it behaves like waves and in others like particles. Electrons, which sometimes exhibits particle nature may also behave like wave in some situations.

When a particle acts like a wave, it carries a wavelength which is known as de Broglie wavelength.

02

Velocity of proton

Speed of electron, V = 8 x 106 m/s

Mass of electron, me = 9.11 x 10-31 Kg

Mass of proton, mp = 1.67 x 10-27 Kg

De Broglie wavelength is given by

λe=hp=hmeve=6.626*10-34Js9.11*108Kg8*106m/s=9.09*10-11m

The velocity proton is given by

λe=λpλe=hppλe=hmpvpvp=hmpλe=6.626*10-34Js1.67*10-27Kg9.09*10-11m/s=4.36*103m

Therefore, the velocity of proton is 4.36 x 103 m/s.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

In Fig. 40.28, how does the probability of finding a particle in the center half of the region -A<x<Acompare to the probability of finding the particle in the outer half of the region? Is this consistent with the physical interpretation of the situation?

In the U238decay series shown in Fig. 43.7, some nuclides in the series are found much more abundantly in nature than others, even though every U238nucleus goes through every step in the series before finally becoming P214b. Why don’t the intermediate nuclides all have the same abundance?

Explain why the cosmological principle requires that H0 must have the same value everywhere in space, but does not require that it be constant in time.

The magnetic field in a cyclotron that accelerates protons is 1.70T. (a) How many times per second should the potential across the Dees reverse? (This is twice the frequency of the circulating protons.) (b) The maximum radius of the cyclotron is 0.250m. What is the maximum speed of the proton? (c) Through what potential difference must the proton be accelerated from rest to give it the speed that you calculated in part (b)?

The air you are breathing contains primarily nitrogen N2and oxygen O2Many of these molecules are in excited rotational energy levels (I=1,2,3,.....), but almost all of them are in the vibrational ground level(n=0). Explain this difference between the rotational and vibrational behaviors of the molecules
See all solutions

Recommended explanations on Physics Textbooks

Electrostatics

Read Explanation

Radiation

Read Explanation

Astrophysics

Read Explanation

Magnetism

Read Explanation

Classical Mechanics

Read Explanation

Fluids

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.

Sign-up for free