Physics Exam > Physics Questions > For what value of an electron’s speed w...
Start Learning for Free
For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms of c)
Correct answer is '0.707'. Can you explain this answer?
Verified Answer
For what value of an electron’s speed will its de-Broglie wavele...
de Broglie wavelength
Compton wavelength
The correct answer is: 0.707
Compton wavelength
The correct answer is: 0.707
Most Upvoted Answer
For what value of an electron’s speed will its de-Broglie wavele...
de Broglie wavelength
Compton wavelength
The correct answer is: 0.707
Compton wavelength
The correct answer is: 0.707
Free Test
FREE
| Start Free Test |
Community Answer
For what value of an electron’s speed will its de-Broglie wavele...
De-Broglie Wavelength vs Compton Wavelength:
The de-Broglie wavelength is the wavelength associated with a particle, such as an electron, due to its momentum. On the other hand, the Compton wavelength is the wavelength associated with the rest mass energy of a particle.
Equations:
- De-Broglie Wavelength: λ = h / p, where h is the Planck constant and p is the momentum of the particle.
- Compton Wavelength: λc = h / (mc), where m is the rest mass of the particle and c is the speed of light.
Setting the Wavelengths Equal:
To find the speed at which the de-Broglie wavelength is equal to the Compton wavelength, we set the two equations equal to each other:
h / p = h / (mc)
Solving for Speed:
By substituting the momentum p = mv (where v is the speed of the particle) into the de-Broglie wavelength equation, we get:
h / mv = h / (mc)
Solving for v, we get:
v = c / √2 ≈ 0.707c
Therefore, when the speed of the electron is approximately 0.707 times the speed of light, its de-Broglie wavelength will be equal to the Compton wavelength.
The de-Broglie wavelength is the wavelength associated with a particle, such as an electron, due to its momentum. On the other hand, the Compton wavelength is the wavelength associated with the rest mass energy of a particle.
Equations:
- De-Broglie Wavelength: λ = h / p, where h is the Planck constant and p is the momentum of the particle.
- Compton Wavelength: λc = h / (mc), where m is the rest mass of the particle and c is the speed of light.
Setting the Wavelengths Equal:
To find the speed at which the de-Broglie wavelength is equal to the Compton wavelength, we set the two equations equal to each other:
h / p = h / (mc)
Solving for Speed:
By substituting the momentum p = mv (where v is the speed of the particle) into the de-Broglie wavelength equation, we get:
h / mv = h / (mc)
Solving for v, we get:
v = c / √2 ≈ 0.707c
Therefore, when the speed of the electron is approximately 0.707 times the speed of light, its de-Broglie wavelength will be equal to the Compton wavelength.
|
Explore Courses for Physics exam
|
|
Top Courses for PhysicsView all
Question Description
For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer?.
For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer? for Physics 2025 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer? covers all topics & solutions for Physics 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer?.
Solutions for For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. 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 For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer?, a detailed solution for For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer? has been provided alongside types of For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For what value of an electron’s speed will its de-Broglie wavelength be same as the compton wavelength? (in terms ofc)Correct answer is '0.707'. Can you explain this answer? tests, examples and also practice Physics tests.
|
|
Explore Courses for Physics exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily