Class 11 Exam > Class 11 Questions > The uncertainty in the measurement of velocit...
Start Learning for Free
The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron?
Most Upvoted Answer
The uncertainty in the measurement of velocity of electron is 10% . Ca...
Uncertainty in Position of Electron Calculation:
1. Given:
- Uncertainty in velocity of electron = 10%
2. Concept of Uncertainty Principle:
- According to Heisenberg's Uncertainty Principle, the product of the uncertainties in position and momentum of a particle is greater than or equal to a certain constant value (h/4π).
3. Calculating Uncertainty in Position:
- Let Δv be the uncertainty in velocity, and m be the mass of the electron.
- The uncertainty in momentum (Δp) is given by: Δp = m * Δv
- Using the Uncertainty Principle: Δx * Δp ≥ h/4π
- Substituting the values: Δx * m * Δv ≥ h/4π
- Δx ≥ h/4πmΔv
- Δx ≥ (6.626 x 10^-34) / (4 x 3.14 x (9.11 x 10^-31) x 0.1)
- Δx ≥ 7.27 x 10^-10 m
4. Result:
- The uncertainty in the position of the electron is approximately 7.27 x 10^-10 meters. This means that we cannot precisely determine the position of the electron beyond this value due to the uncertainty principle.
1. Given:
- Uncertainty in velocity of electron = 10%
2. Concept of Uncertainty Principle:
- According to Heisenberg's Uncertainty Principle, the product of the uncertainties in position and momentum of a particle is greater than or equal to a certain constant value (h/4π).
3. Calculating Uncertainty in Position:
- Let Δv be the uncertainty in velocity, and m be the mass of the electron.
- The uncertainty in momentum (Δp) is given by: Δp = m * Δv
- Using the Uncertainty Principle: Δx * Δp ≥ h/4π
- Substituting the values: Δx * m * Δv ≥ h/4π
- Δx ≥ h/4πmΔv
- Δx ≥ (6.626 x 10^-34) / (4 x 3.14 x (9.11 x 10^-31) x 0.1)
- Δx ≥ 7.27 x 10^-10 m
4. Result:
- The uncertainty in the position of the electron is approximately 7.27 x 10^-10 meters. This means that we cannot precisely determine the position of the electron beyond this value due to the uncertainty principle.
Community Answer
The uncertainty in the measurement of velocity of electron is 10% . Ca...
Use Heisenberg uncertainty principle
∆x•∆p=h/2π
∆x•∆p=h/2π
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron?
Question Description
The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron?.
The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron?.
Solutions for The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? defined & explained in the simplest way possible. Besides giving the explanation of
The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron?, a detailed solution for The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? has been provided alongside types of The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? theory, EduRev gives you an
ample number of questions to practice The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 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
|
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