Calculating Electric Potential Energy of Hydrogen Atom in Bohr Model

AI Thread Summary
To calculate the electric potential energy of a hydrogen atom using the Bohr model, the formula U_E = K(q1)(q2)/r is applied, where K is Coulomb's constant, q1 is the charge of the proton, q2 is the charge of the electron, and r is the Bohr radius. The values used are K = 9.0e9 N m²/C², q1 = 1.6e-19 C, q2 = -1.6e-19 C, and r = 5.29e-11 m. The resulting potential energy is calculated as U_E = (9.0e9)(1.6e-19)(-1.6e-19)/(5.29e-11). To convert the result into electron volts, divide the potential energy by 1.6e-19. This method provides the electric potential energy in the desired units of electron volts.
GreenLantern674
Messages
27
Reaction score
0
How do you find the electric potential energy of a hydrogen atom using the Bohr model? I tried doing U<sub>E</sub> = K(q1)(q2)/r, using the charge of an electron and the charge of a proton for q1 and q2 and using the Bohr radius for r, but that didn't work. How do you do this? (P.S. the answer has to be in electron volts)
 
Physics news on Phys.org
Show your calculations with numerical values.
 
Ue = (9.0e9) (1.6e-19)(-1.6e-19) / (5.29e-11)
 
To convert it into eV divide it by 1.6e-19.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Change in electric potential energy
Replies
3
Views
2K
Rutherford model of atom and Bohr model
Replies
1
Views
2K
What Does 'Mutual Potential Energy' Refer to in a Hydrogen Atom?
Replies
6
Views
4K
Potential Energy of a Finite Proton
Replies
1
Views
1K
Electromagnetism problem: Merging of 2 charged drops of mercury
Replies
2
Views
1K
Minimizing the Energy of Two Conductors Very Far Apart
Replies
23
Views
2K
The time for a proton to reach a certain velocity
Replies
4
Views
2K
Equation connecting potential and potential energy of a distribution
Replies
5
Views
1K
Ionization Energy of Helium Atom | 24.6 eV
Replies
4
Views
2K
Why Is Work Positive When Done Against the Electric Field?
Replies
22
Views
3K

Hot Threads

Recent Insights

Back
Top