Angular velocity of an Electron

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Homework Help Overview

The discussion revolves around calculating the angular velocity and kinetic energy of an electron in the Bohr Model of the Hydrogen Atom, specifically focusing on its lowest energy state with a defined orbital radius.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between constant speed, angular velocity, and radius, while also considering the forces acting on the electron. Questions arise regarding how to derive acceleration from force and the application of Coulomb's law in this context.

Discussion Status

Participants are actively discussing the necessary equations and relationships needed to approach the problem. Guidance has been offered regarding the connection between net force, radial acceleration, and velocity. There is an ongoing exploration of the required parameters, such as the mass and charge of the electron and proton.

Contextual Notes

Participants note the importance of specific constants, such as the mass of the electron and the charges involved, which are essential for solving the problem but may not have been fully established in the initial posts.

jamesjd
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Homework Statement



In the Bohr Model of the Hydrogen Atom, a single Electron orbits a circle round a single stationary Proton. If the radius of the electron's orbit for its lowest energy state (the "ground state") is 5.3x10^-11m, find the the constant speed, v , of the orbiting electron .

Homework Equations



and calculate its kinetic energy in electron volts

The Attempt at a Solution



constant speed = angular velocity x radius (5.3x10^-11)
 
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The orbit also depends on the force on the particle
 
so how would i get the acceleration to use F = ma?
 
Well sort of. You know that the net force is F = ma, but you should also know how the force (or radial acceleration) on a particle in a circle path is related to its velocity. Also apply Coulomb's law and you should be able to solve for the velocity
 
F = m*(v^2/r)?
 
Do you have the mass of the electron, and the charge of the electron and proton?
 
9.11x10^031kg Mass of electron

1.6x10^-19 electron + proton?
 

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