Physics
Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
bartleby

Concept explainers

Question
Book Icon
Chapter 26, Problem 97P

(a)

To determine

The classically predicted speed of electron.

(a)

Expert Solution
Check Mark

Answer to Problem 97P

The classically predicted speed of electron is 2.965×109m/s_.

Explanation of Solution

Given that the accelerating potential is 25.00MV.

Write the classical expression for the kinetic energy of the electron.

    K=12mv2                                                                                                                 (I)

Here, K is the kinetic energy of the electron, m is the mass of the electron, v is the speed  of the electron.

Write the expression for the kinetic energy of the electron in terms of the accelerating potential.

  K=eΔV                                                                                                                 (II)

Here, e is the charge of the electron, ΔV is the accelerating potential.

Equate the right-hand sides of equation (I) and (II) and solve for v.

    12mv2=eΔVv=2eΔVm                                                                                                   (III)

Conclusion:

Substitute 1.602×1019C for e, 25.00MV for ΔV, and 9.109×1031kg for m in equation (III) to find v.

  v=2(1.602×1019C)(25.00×106V)9.109×1031kg=2(1.602×1019C)(25.00MV×1×106V1MV)9.109×1031kg=2.965×109m/s

Therefore, The classically predicted speed of electron is 2.965×109m/s_.

(b)

To determine

The actual speed of the electron.

(b)

Expert Solution
Check Mark

Answer to Problem 97P

The actual speed of the electron is 2.99×108m/s_.

Explanation of Solution

Write the expression for the relativistic kinetic energy.

    K=(γ1)mc2                                                                                                       (IV)

Here, K is the relativistic kinetic energy, γ is the Lorentz factor, m is the mass of the electron, c is the speed of the light.

Write the expression for the Lorentz factor.

    γ=11v2/c2                                                                                                        (V)

Here, v is the speed of electron, c is the speed of light.

Use equation (V) in equation (IV).

    K=(11v2/c21)mc2                                                                                      (VI)

Use equation (II) in (VI) and solve for v.

    eΔV=(11v2/c21)mc2(1+eΔVmc2)2=11v2/c21v2c2=(1+eΔVmc2)2v=c1(1+eΔVmc2)2                                                                      (VII)

Conclusion:

Substitute 2.99×108m/s for c , 1.602×1019C for e , 25.00MV for ΔV, 9.109×1031kg for m in equation (VI) to find v.

    v=(2.99×108m/s)1(1+(1.602×1019C)(25.00MV)(9.109×1031kg)(2.998×108m/s)2)2=(2.99×108m/s)1(1+(1.602×1019C)(25.00MV×106V1MV)(9.109×1031kg)(2.998×108m/s)2)2=2.99740×108m/s

Therefore, the actual speed of the electron is 2.99×108m/s_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
When current is flowing through the coil, the direction of the torque can be thought of in two ways. Either as the result of the forces on current carrying wires, or as a magnetic dipole moment trying to line up with an external field (e.g. like a compass). Note: the magnetic moment of a coil points in the direction of the coil's magnetic field at the center of the coil. d) Forces: We can consider the left-most piece of the loop (labeled ○) as a short segment of straight wire carrying current directly out of the page at us. Similarly, we can consider the right-most piece of the loop (labeled ) as a short segment straight wire carrying current directly into the page, away from us. Add to the picture below the two forces due to the external magnetic field acting on these two segments. Then describe how these two forces give a torque and determine if the torque acts to rotate the loop clockwise or counterclockwise according to this picture? B
In each of the following, solve the problem stated. Express your answers in three significant figures. No unit is considered incorrect. 1. For the circuit shown, determine all the currents in each branch using Kirchhoff's Laws. (3 points) 6 5V 2 B C 4 A www 6 VT ww T10 V F E 2. Compute for the total power dissipation of the circuit in previous item. (1 point) 3. Use Maxwell's Mesh to find Ix and VAB for the circuit shown. (3 points) Ix 50 V 20 ww 21x B 4. Calculate all the currents in each branch using Maxwell's Mesh for the circuit shown. (3 points) www 5ი 10 24V 2A 2002 36V
If the mass of substance (1 kg), initial temperature (125˚C), the final temperature (175˚C) and the total volume of a closed container (1 m3) remains constant in two experiments, but one experiment is done with water ( ) and the other is done with nitrogen ( ). What is the difference in the change in pressure between water and nitrogen?

Chapter 26 Solutions

Physics

Ch. 26 - Prob. 1CQCh. 26 - Prob. 2CQCh. 26 - Prob. 3CQCh. 26 - Prob. 4CQCh. 26 - Prob. 5CQCh. 26 - Prob. 6CQCh. 26 - Prob. 7CQCh. 26 - Prob. 8CQCh. 26 - Prob. 9CQCh. 26 - Prob. 10CQCh. 26 - Prob. 11CQCh. 26 - Prob. 12CQCh. 26 - Prob. 1MCQCh. 26 - Prob. 2MCQCh. 26 - Prob. 3MCQCh. 26 - Prob. 4MCQCh. 26 - 5. Which best describes the proper time interval...Ch. 26 - Prob. 6MCQCh. 26 - Prob. 7MCQCh. 26 - Prob. 8MCQCh. 26 - Prob. 9MCQCh. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10PCh. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - 40. A white dwarf is a star that has exhausted its...Ch. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - Prob. 67PCh. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - 70. At the 10.0 km long Stanford Linear...Ch. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - Prob. 74PCh. 26 - Prob. 75PCh. 26 - Prob. 76PCh. 26 - Prob. 77PCh. 26 - Prob. 78PCh. 26 - Prob. 79PCh. 26 - Prob. 80PCh. 26 - Prob. 81PCh. 26 - Prob. 82PCh. 26 - Prob. 83PCh. 26 - Prob. 84PCh. 26 - Prob. 85PCh. 26 - Prob. 87PCh. 26 - Prob. 86PCh. 26 - Prob. 89PCh. 26 - Prob. 88PCh. 26 - Prob. 90PCh. 26 - Prob. 92PCh. 26 - Prob. 91PCh. 26 - Prob. 94PCh. 26 - Prob. 93PCh. 26 - 96. The solar energy arriving at the outer edge of...Ch. 26 - Prob. 96PCh. 26 - Prob. 97PCh. 26 - Prob. 98P
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON