Angular velocity of an electron

In summary, the conversation revolves around finding the angular velocity of an electron in the n = 2 orbit of a hydrogen atom in the Bohr model. One person shares their calculation method and the incorrect values they obtained, while another offers advice on using the correct notation for the answer. The conversation ends with both parties discussing their progress in their physics class.
  • #1
nded07
4
0
SOLVED: Angular velocity of an electron

1. The Bohr model of the hydrogen atom pictures the electron as a tiny particle moving in a circular orbit about a stationary proton. In the n = 2 orbit the distance from the proton to the electron is 21.16*10^-11 m, and the linear speed of the electron is 1.09*10^6 m/s.



2. What is the angular velocity of the electron?



3. To find the angular acceleration (ω), I started with v=rω (linear velocity=radius*angular velocity) and arranged it to solve for ω (ω=v/r). Plugging the given values in, I came up with ω=1.09*10^6/21.16*10^-11, and I got 2.43*10^14 (and 5.15*10^15 as well, for some reason) for an answer, which is wrong according to WebAssign. I'm down to my last submission and would really appreciate it if someone could point out what I'm doing wrong.
 
Last edited:
Physics news on Phys.org
  • #2
Ah, never mind. Turns out WebAssign wanted the unaltered string of numbers, which runs up to about 5151228733459357.28 rad/s. Thank goodness for Windows basic calculator.
 
  • #3
I don't know how well you know webassign but when plugging in stuff like that say 5.15*10^15 for instance . . . try plugging in 5.15 E 15 (that is the way they want not 5.15*10^15 )
 
  • #4
I tried that, but it didn't work. Apparently it was looking for as precise a value as possible, and 5150000000000000 wasn't going to cut it.
 
  • #5
that is really weird. . it shouldn't except that large of a number. . but you got the correct answer?
 
  • #6
Yes, the last answer I submitted registered as being correct. However, looking at the answer key tells me that 5.15e+15 would also have been an acceptable format for the answer. I'm new to the whole WebAssign thing though, and the fact that the question used a different notation from what was expected for the answer certainly threw me off the loop. Live and learn, I suppose; at least I'll know what to expect next time something like this pops up.

On the bright side, the rest of the assignment went fairly smoothly and I managed to get good grade.
 
  • #7
thats sweet . . sounds like you are taking about the same level of physics as I, if you need any help just let me know
 

1. What is the angular velocity of an electron?

The angular velocity of an electron is a measure of how fast the electron is rotating around a central point. It is typically measured in radians per second (rad/s).

2. How is the angular velocity of an electron related to its speed?

The angular velocity of an electron is directly proportional to its speed. This means that as the angular velocity increases, so does the speed of the electron. However, the direction of the electron's motion also affects its angular velocity.

3. Can the angular velocity of an electron change?

Yes, the angular velocity of an electron can change due to external forces acting on it, such as electric and magnetic fields. These forces can alter the direction and speed of the electron's rotation, thus changing its angular velocity.

4. How is the angular velocity of an electron calculated?

The angular velocity of an electron can be calculated by dividing its angular displacement by the time it takes to complete one full rotation. It can also be calculated by dividing the electron's linear velocity by the radius of its circular path.

5. Why is the angular velocity of an electron important in quantum mechanics?

The angular velocity of an electron is important in quantum mechanics because it is related to the electron's energy level and can affect the behavior of atoms and molecules. It also plays a role in determining the electron's spin and magnetic moment, which are important properties in understanding the behavior of particles at the atomic level.

Similar threads

  • Introductory Physics Homework Help
Replies
12
Views
956
  • Introductory Physics Homework Help
Replies
3
Views
790
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
18
Views
4K
  • Introductory Physics Homework Help
Replies
12
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
743
  • Introductory Physics Homework Help
Replies
25
Views
1K
  • Introductory Physics Homework Help
Replies
10
Views
903
  • Introductory Physics Homework Help
Replies
2
Views
5K
  • Introductory Physics Homework Help
Replies
2
Views
2K
Back
Top