I have no idea how to solve for the velocity of the electron! I have a feeling it has something to do with relating the electrons Energy to KE, and solving for velocity... the problem says...
The bohr model for the hydrogen atom says that the electron orbits the single proton nucleus because of electrostatic attraction. If a particular excited state has the electron orbiting at a distance of 3.2*10^-10 m, then find the electron’s speed, presuming a circular orbit.
If anyone has any advice or an equation involving velocity I'd greatly appreciate it!!
The bohr model for the hydrogen atom says that the electron orbits the single proton nucleus because of electrostatic attraction. If a particular excited state has the electron orbiting at a distance of 3.2*10^-10 m, then find the electron’s speed, presuming a circular orbit.
If anyone has any advice or an equation involving velocity I'd greatly appreciate it!!
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In this case centripetal force is coulomb's force between electron and proton, so:
Fc=F(electric) , (mv^2)/r=(k*q1*q2)/r^2 , v^2=(k*q1*q2)/(mr) & m is the mass of an electron
v^2=(9*10^9)(1.6*10^ -19)^2 / (9.1*10^ -31)(3.2*10^ -10) , V=8.9*10^5 m/s
Fc=F(electric) , (mv^2)/r=(k*q1*q2)/r^2 , v^2=(k*q1*q2)/(mr) & m is the mass of an electron
v^2=(9*10^9)(1.6*10^ -19)^2 / (9.1*10^ -31)(3.2*10^ -10) , V=8.9*10^5 m/s