Uncertainty principle and hydrogen atom electron

AI Thread Summary
The discussion revolves around applying the uncertainty principle to determine the energy required to confine an electron within a hydrogen atom, using a radius of 1 x 10^-10 m for Δr. Participants are questioning whether the radius can be considered as Δx and how to calculate the electron's momentum. They note that there are various expressions of the uncertainty principle that could be relevant to the problem. The conversation highlights the need for clarity on the definitions and calculations involved in this quantum mechanics context. Overall, the focus is on solving the energy confinement problem using the principles of quantum mechanics.
stickplot
Messages
83
Reaction score
0

Homework Statement



Using the uncertainty principle find the energy required for the electron to be confined inside the hydrogen atom. Use the radius of the atom 1 x 10-10 m for Δr. Express your answer in eV, rounded up to the nearest hundredth.

Homework Equations



ΔxΔp\geqh/4pie
x=position in space
p=momentum

The Attempt at a Solution



is is the radius of the atom=Δx? and if it is how do i get the momentum of the electron?
 
Physics news on Phys.org
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

The Total Energy of the Hydrogen Atom's Electron
Replies
2
Views
1K
Finding Energy with the Uncertainty Principle
Replies
2
Views
2K
Is the Hydrogen Atom Stable for a Potential Behaving as -1/rs?
Replies
1
Views
2K
Maximum Kinetic Energy of Photoelectrons from Irradiated Hydrogen Atoms
Replies
2
Views
3K
Ground state wavelength and uncertainty Bohr/deBroglie model
Replies
1
Views
2K
A hydrogen atom transitions from n= 5 state to the ground state
Replies
3
Views
2K
Elastic Collision of Hydrogen and Carbon Atoms
Replies
9
Views
2K
Finite quantum well, multiple choice question
Replies
3
Views
2K
Atomic Structure problem regarding interatomic spacing
Replies
13
Views
2K
Estimating Atom Size using the Uncertainty Principle
Replies
6
Views
1K

Hot Threads

Recent Insights

Back
Top