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Charge of electron is e and mass is m. The electron is moving around a nucleus of charge Ze in a circular path of radius r. What will be the velocity of the electron? Calculation pls?
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Charge of electron is e and mass is m. The electron is moving around a...
Calculation of Velocity of Electron Moving Around a Nucleus of Charge Ze
Formula Used:
- Coulomb's Law: F = k * (q1 * q2) / r^2
- Centripetal Force: F = m * v^2 /r
Assumptions:
- The electron is moving in a circular path around the nucleus.
- The electron is under the influence of electrostatic force due to the positively charged nucleus.
- The electrostatic force acting on the electron provides the centripetal force required for circular motion.
Steps to Calculate Velocity:
1. Calculate the electrostatic force between the electron and the nucleus using Coulomb's law.
- F = k * (q1 * q2) / r^2
- Here, q1 = e (charge of electron), q2 = Ze (charge of nucleus), r = radius of circular path, k = Coulomb's constant
- F = k * (e * Ze) / r^2
2. Equate the electrostatic force to the centripetal force required for circular motion.
- F = m * v^2 /r
- Here, m = mass of electron, v = velocity of electron
- k * (e * Ze) / r^2 = m * v^2 /r
3. Simplify the equation to get the velocity of the electron.
- v^2 = k * (e * Ze) / (m * r)
- v = sqrt(k * (e * Ze) / (m * r))
Final Answer:
- The velocity of the electron moving around a nucleus of charge Ze in a circular path of radius r is given by the formula v = sqrt(k * (e * Ze) / (m * r)).
Formula Used:
- Coulomb's Law: F = k * (q1 * q2) / r^2
- Centripetal Force: F = m * v^2 /r
Assumptions:
- The electron is moving in a circular path around the nucleus.
- The electron is under the influence of electrostatic force due to the positively charged nucleus.
- The electrostatic force acting on the electron provides the centripetal force required for circular motion.
Steps to Calculate Velocity:
1. Calculate the electrostatic force between the electron and the nucleus using Coulomb's law.
- F = k * (q1 * q2) / r^2
- Here, q1 = e (charge of electron), q2 = Ze (charge of nucleus), r = radius of circular path, k = Coulomb's constant
- F = k * (e * Ze) / r^2
2. Equate the electrostatic force to the centripetal force required for circular motion.
- F = m * v^2 /r
- Here, m = mass of electron, v = velocity of electron
- k * (e * Ze) / r^2 = m * v^2 /r
3. Simplify the equation to get the velocity of the electron.
- v^2 = k * (e * Ze) / (m * r)
- v = sqrt(k * (e * Ze) / (m * r))
Final Answer:
- The velocity of the electron moving around a nucleus of charge Ze in a circular path of radius r is given by the formula v = sqrt(k * (e * Ze) / (m * r)).
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Charge of electron is e and mass is m. The electron is moving around a nucleus of charge Ze in a circular path of radius r. What will be the velocity of the electron? Calculation pls?
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Charge of electron is e and mass is m. The electron is moving around a nucleus of charge Ze in a circular path of radius r. What will be the velocity of the electron? Calculation pls? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Charge of electron is e and mass is m. The electron is moving around a nucleus of charge Ze in a circular path of radius r. What will be the velocity of the electron? Calculation pls? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charge of electron is e and mass is m. The electron is moving around a nucleus of charge Ze in a circular path of radius r. What will be the velocity of the electron? Calculation pls?.
Charge of electron is e and mass is m. The electron is moving around a nucleus of charge Ze in a circular path of radius r. What will be the velocity of the electron? Calculation pls? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Charge of electron is e and mass is m. The electron is moving around a nucleus of charge Ze in a circular path of radius r. What will be the velocity of the electron? Calculation pls? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Charge of electron is e and mass is m. The electron is moving around a nucleus of charge Ze in a circular path of radius r. What will be the velocity of the electron? Calculation pls?.
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