Physics Exam > Physics Questions > If a beam of electrons impinges on an energy ...
Start Learning for Free
If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electrons
are having energy 0.04 eV.
are having energy 0.04 eV.
- a)0.111
- b)0.142
- c)0.123
- d)0.175
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If a beam of electrons impinges on an energy barrier of height 0.03 eV...
Free Test
FREE
| Start Free Test |
Community Answer
If a beam of electrons impinges on an energy barrier of height 0.03 eV...
Explanation:
The probability of reflection and transmission of electrons at an energy barrier can be calculated using the following formula:
\[ R = \left( \frac{k_2 - k_1}{k_2 + k_1} \right)^2 \]
\[ T = 1 - R \]
Where:
- \( R \) is the fraction of electrons reflected
- \( T \) is the fraction of electrons transmitted
- \( k_1 \) is the wave vector of the incident electrons
- \( k_2 \) is the wave vector of the transmitted electrons
Given:
- Barrier height (\( V \)) = 0.03 eV
- Incident electron energy (\( E \)) = 0.04 eV
First, calculate the wave vectors:
\[ k_1 = \frac{\sqrt{2mE}}{\hbar} \]
\[ k_2 = \frac{\sqrt{2m(E - V)}}{\hbar} \]
Substitute the values:
\[ k_1 = \frac{\sqrt{2 \times 9.11 \times 10^{-31} \times 0.04}}{1.05 \times 10^{-34}} \]
\[ k_1 \approx 2.07 \times 10^9 \]
\[ k_2 = \frac{\sqrt{2 \times 9.11 \times 10^{-31} \times (0.04 - 0.03)}}{1.05 \times 10^{-34}} \]
\[ k_2 \approx 1.46 \times 10^9 \]
Now, calculate the fractions:
\[ R = \left( \frac{1.46 - 2.07}{1.46 + 2.07} \right)^2 \]
\[ R \approx 0.111 \]
\[ T = 1 - 0.111 \]
\[ T \approx 0.889 \]
Therefore, the fraction of electrons reflected at the barrier is 0.111.
The probability of reflection and transmission of electrons at an energy barrier can be calculated using the following formula:
\[ R = \left( \frac{k_2 - k_1}{k_2 + k_1} \right)^2 \]
\[ T = 1 - R \]
Where:
- \( R \) is the fraction of electrons reflected
- \( T \) is the fraction of electrons transmitted
- \( k_1 \) is the wave vector of the incident electrons
- \( k_2 \) is the wave vector of the transmitted electrons
Given:
- Barrier height (\( V \)) = 0.03 eV
- Incident electron energy (\( E \)) = 0.04 eV
First, calculate the wave vectors:
\[ k_1 = \frac{\sqrt{2mE}}{\hbar} \]
\[ k_2 = \frac{\sqrt{2m(E - V)}}{\hbar} \]
Substitute the values:
\[ k_1 = \frac{\sqrt{2 \times 9.11 \times 10^{-31} \times 0.04}}{1.05 \times 10^{-34}} \]
\[ k_1 \approx 2.07 \times 10^9 \]
\[ k_2 = \frac{\sqrt{2 \times 9.11 \times 10^{-31} \times (0.04 - 0.03)}}{1.05 \times 10^{-34}} \]
\[ k_2 \approx 1.46 \times 10^9 \]
Now, calculate the fractions:
\[ R = \left( \frac{1.46 - 2.07}{1.46 + 2.07} \right)^2 \]
\[ R \approx 0.111 \]
\[ T = 1 - 0.111 \]
\[ T \approx 0.889 \]
Therefore, the fraction of electrons reflected at the barrier is 0.111.
|
Explore Courses for Physics exam
|
|
Similar Physics Doubts
If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer?
Question Description
If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer?.
If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer?.
Solutions for If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Physics.
Download more important topics, notes, lectures and mock test series for Physics Exam by signing up for free.
Here you can find the meaning of If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer?, a detailed solution for If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If a beam of electrons impinges on an energy barrier of height 0.03 eV and of infinite width. Find the fraction of electrons reflected and transmitted at the barrier if the impinging electronsare having energy 0.04 eV.a)0.111b)0.142c)0.123d)0.175Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup