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The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron?
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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
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The uncertainty in the measurement of velocity of electron is 10% . Calculate the uncertainty in position of electron?
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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?.
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