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The measurement of the electron position is associated with an uncertainly in momentum which is equal to 1×10–18 g cm s–1. Find the uncertainty in electron velocity (mass of electron is 9 × 10–28g).?
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The measurement of the electron position is associated with an uncerta...
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Uncertainty in Electron Velocity Calculation:
1. Given Data:
- Uncertainty in momentum = 1×10^-18 g cm s^-1
- Mass of electron = 9 × 10^-28 g
2. Formula:
- The uncertainty principle states: Δx * Δp ≥ h/4π
- Where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is the Planck's constant.
3. Calculations:
- Given Δp = 1×10^-18 g cm s^-1
- Using the mass of the electron, we can convert this to uncertainty in velocity by:
Δv = Δp / m
Δv = (1×10^-18) / (9 × 10^-28)
Δv = 1/9 × 10^10
Δv = 1.11 × 10^-11 cm s^-1
4. Result:
- The uncertainty in electron velocity is found to be 1.11 × 10^-11 cm s^-1.
Therefore, the uncertainty in the electron's velocity is calculated based on the given uncertainty in momentum and the mass of the electron. This calculation helps to understand the limitations imposed by the uncertainty principle in quantum mechanics on the simultaneous measurement of position and momentum of subatomic particles like electrons.
1. Given Data:
- Uncertainty in momentum = 1×10^-18 g cm s^-1
- Mass of electron = 9 × 10^-28 g
2. Formula:
- The uncertainty principle states: Δx * Δp ≥ h/4π
- Where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is the Planck's constant.
3. Calculations:
- Given Δp = 1×10^-18 g cm s^-1
- Using the mass of the electron, we can convert this to uncertainty in velocity by:
Δv = Δp / m
Δv = (1×10^-18) / (9 × 10^-28)
Δv = 1/9 × 10^10
Δv = 1.11 × 10^-11 cm s^-1
4. Result:
- The uncertainty in electron velocity is found to be 1.11 × 10^-11 cm s^-1.
Therefore, the uncertainty in the electron's velocity is calculated based on the given uncertainty in momentum and the mass of the electron. This calculation helps to understand the limitations imposed by the uncertainty principle in quantum mechanics on the simultaneous measurement of position and momentum of subatomic particles like electrons.
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The measurement of the electron position is associated with an uncertainly in momentum which is equal to 1×10–18 g cm s–1. Find the uncertainty in electron velocity (mass of electron is 9 × 10–28g).?
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The measurement of the electron position is associated with an uncertainly in momentum which is equal to 1×10–18 g cm s–1. Find the uncertainty in electron velocity (mass of electron is 9 × 10–28g).? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The measurement of the electron position is associated with an uncertainly in momentum which is equal to 1×10–18 g cm s–1. Find the uncertainty in electron velocity (mass of electron is 9 × 10–28g).? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The measurement of the electron position is associated with an uncertainly in momentum which is equal to 1×10–18 g cm s–1. Find the uncertainty in electron velocity (mass of electron is 9 × 10–28g).?.
The measurement of the electron position is associated with an uncertainly in momentum which is equal to 1×10–18 g cm s–1. Find the uncertainty in electron velocity (mass of electron is 9 × 10–28g).? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The measurement of the electron position is associated with an uncertainly in momentum which is equal to 1×10–18 g cm s–1. Find the uncertainty in electron velocity (mass of electron is 9 × 10–28g).? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The measurement of the electron position is associated with an uncertainly in momentum which is equal to 1×10–18 g cm s–1. Find the uncertainty in electron velocity (mass of electron is 9 × 10–28g).?.
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