Bohr Model Equations: Kinetic and Potential Energy in Hydrogen Atom

AI Thread Summary
In the Bohr model of the hydrogen atom, the relationship between kinetic energy (KE) and potential energy (PE) is explored, with the assertion that KE = -PE being questioned. The discussion involves calculating the change in potential energy when a hydrogen atom absorbs a photon of energy E, which promotes the electron to a higher energy level. The change in kinetic energy during this transition is also examined, with participants debating the derivation of these relationships. One contributor mentions using centripetal force and electric force to derive kinetic energy, leading to a different conclusion about the KE and PE relationship. The conversation emphasizes the need for clarity in deriving these fundamental equations in atomic physics.
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Homework Statement



Write an expression relating the kinetic energy KE of the electron and the potential energy PE in the Bohr model of the hydrogen atom. (Use any variable or symbol stated above as necessary.)

b) Suppose a hydrogen atom absorbs a photon of energy E, resulting in the transfer of the electron to a higher-energy level. Express the resulting change in the potential energy of the system in terms of E.

(c) What is the change in the electron's kinetic energy during this process? (Use any variable or symbol stated above as necessary.)

Homework Equations



THATS THE QUESTION!

The Attempt at a Solution



KE = -PE
Ef - Ei
KEf - KEi
 
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I don't think KE = - PE. How did you arrive at this?
I used centripetal force = electric force for a circular orbit to get the velocity and kinetic energy. I integrated F*dr in from infinity (where PE = 0) to get the PE. I found a simple relationship between KE and PE, but not that one.
 
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