What is the kinetic energy of an electron that passes undeviated through perpendicular electric and magnetic fields if E = 4.0 kV/m and B = 8.0 mT?
What is the kinetic energy of an electron that passes undeviated through perpendicular electric and magnetic fields if E = 4.0 kV/m and B = 8.0 mT?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
![**Problem Statement:**
What is the kinetic energy of an electron that passes undeviated through perpendicular electric and magnetic fields if \(E = 4.0 \, \text{kV/m}\) and \(B = 8.0 \, \text{mT}\)?
**Options:**
- \(0.84 \, \text{eV}\)
- \(0.65 \, \text{eV}\)
- \(0.54 \, \text{eV}\)
- \(1.4 \, \text{eV}\)
- \(0.71 \, \text{eV}\)
**Explanation:**
To find the kinetic energy of the electron, it needs to be in a balanced state where the electric force and magnetic force cancel each other. The electron's velocity \(v\) can be determined using the equation:
\[ v = \frac{E}{B} \]
Where:
- \( E = 4.0 \, \text{kV/m} = 4000 \, \text{V/m} \)
- \( B = 8.0 \, \text{mT} = 0.008 \, \text{T} \)
After calculating the velocity, you can find the kinetic energy \( KE \) using the equation:
\[ KE = \frac{1}{2} m v^2 \]
Where \( m \) is the mass of the electron (\( m \approx 9.11 \times 10^{-31} \, \text{kg} \)).
Convert \( KE \) from joules to electronvolts (1 eV \( = 1.6 \times 10^{-19} \, \text{J}\)) to match the options given.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75efe16f-f4aa-4987-9727-1ee0c2946a7c%2F1b0f977a-4d08-4d92-8add-2d6ab417c687%2Fthf4fg_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
What is the kinetic energy of an electron that passes undeviated through perpendicular electric and magnetic fields if \(E = 4.0 \, \text{kV/m}\) and \(B = 8.0 \, \text{mT}\)?
**Options:**
- \(0.84 \, \text{eV}\)
- \(0.65 \, \text{eV}\)
- \(0.54 \, \text{eV}\)
- \(1.4 \, \text{eV}\)
- \(0.71 \, \text{eV}\)
**Explanation:**
To find the kinetic energy of the electron, it needs to be in a balanced state where the electric force and magnetic force cancel each other. The electron's velocity \(v\) can be determined using the equation:
\[ v = \frac{E}{B} \]
Where:
- \( E = 4.0 \, \text{kV/m} = 4000 \, \text{V/m} \)
- \( B = 8.0 \, \text{mT} = 0.008 \, \text{T} \)
After calculating the velocity, you can find the kinetic energy \( KE \) using the equation:
\[ KE = \frac{1}{2} m v^2 \]
Where \( m \) is the mass of the electron (\( m \approx 9.11 \times 10^{-31} \, \text{kg} \)).
Convert \( KE \) from joules to electronvolts (1 eV \( = 1.6 \times 10^{-19} \, \text{J}\)) to match the options given.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON