How Many Revolutions Does an Electron Make in Hydrogen's First Excited State?

AI Thread Summary
The discussion centers on calculating the number of revolutions an electron makes in hydrogen's first excited state, given a lifetime of 10^-8 seconds. Participants suggest using the Bohr model to determine the electron's speed and the distance of one revolution. The correct approach involves calculating the velocity of the electron in the first orbit, which is not the speed of light but rather a fraction of it defined by the fine structure constant. The period of one revolution is then used to find how many revolutions occur in the specified time. This method provides a clear pathway to understanding electron behavior in quantum states.
Jacob87411
Messages
170
Reaction score
1
According to the Bohr theory, how many revolutions will an electron make in the first excited state of hydrogen if the lifetime in that state is 10^-8?

Basically do I find the speed of the that the electron moves in this excited state then get the distance that a revolution is and divide it by the time?
 
Physics news on Phys.org
Find the period for the first orbit and then use 10^{-8}s and the following reasoning

1 revolution---------------------------->T

x revolutions---------------------------->10^{-8}s

Daniel.
 
Last edited:
Right. When finding the period do I take velocity to be the speed of light?
 
No,the velocity on the first orbit

v_{I}=\alpha c

,where \alpha is the fine structure constant...

Daniel.
 
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...
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...
Back
Top