Angular Momentum of a hydrogen atom in the 7f state

In summary, the magnitude of the orbital angular momentum for a hydrogen atom in the 7f state is approximately 3.46 h bar or 3.6*10^-34 J*s. This is calculated using the equation L=sqrt(L(L+1)hbar, where L=3 and hbar=1.054*10^-34.
  • #1
Noreturn
49
0

Homework Statement


A hydrogen atom is in the 7f state.
What is the magnitude of its orbital angular momentum?

Homework Equations



L=sqrt(L(L+1)hbar

The Attempt at a Solution


L= Sqrt(3(3+1)Hbar)
1.41hbar (we want J*S)

1.41*1.054*10^-34

1.47*10^-34J*S
 
Physics news on Phys.org
  • #2
Noreturn said:
1
2. Homework Equations

L=sqrt(L(L+1)hbar
Note that you have two left parentheses but only one right parenthesis.
3. The Attempt at a Solution
L= Sqrt(3(3+1)Hbar)
1.41hbar (we want J*S)
Did you want the hbar to be inside the square root?
I don't see how you got the 1.41 from the previous line. What number are you taking the square root of?
 
  • #3
No sorry, so the anwser I got was 1.41 hbar.

So I ended up getting sqrt(3(4))hbar

sqrt(12)
or 3.46 h bar

So sorry guess 1.41 was wrong. However even with 3.56 or 3.6*10^-34 J*s was still wrong
 
  • #4
Your work looks correct, now. But maybe you need to be accurate to three significant figures in your answer. Don't round off until the end.
 

Related to Angular Momentum of a hydrogen atom in the 7f state

1. What is angular momentum?

Angular momentum is a measure of the rotational motion of an object around an axis. In the context of an atom, it refers to the spinning motion of an electron around the nucleus.

2. How is angular momentum related to the 7f state of a hydrogen atom?

The 7f state of a hydrogen atom refers to the electron being in the seventh energy level and having an orbital angular momentum quantum number of f. This means that the electron's motion around the nucleus has a complex shape, similar to a flower with multiple petals.

3. What is the value of angular momentum in the 7f state of a hydrogen atom?

The value of angular momentum in the 7f state of a hydrogen atom is equal to 6. This is because the orbital angular momentum quantum number for f is equal to 3 and the spin angular momentum quantum number is equal to 1/2. Thus, the total angular momentum is given by the formula √(l(l+1)) where l is the sum of the orbital and spin angular momentum quantum numbers (l=3+1/2=6).

4. How is angular momentum quantized in the 7f state?

Angular momentum is quantized in the 7f state of a hydrogen atom due to the principles of quantum mechanics. This means that it can only take on certain discrete values, and cannot have any intermediate values. In the 7f state, the possible values for angular momentum are 6, 5, 4, 3, 2, 1, or 0.

5. What is the significance of angular momentum in the 7f state of a hydrogen atom?

The angular momentum in the 7f state of a hydrogen atom plays a crucial role in determining the energy levels and spectral lines of the atom. It also affects the behavior of the atom in external magnetic fields and is a key factor in understanding the stability and properties of the atom.

Similar threads

  • Introductory Physics Homework Help
Replies
10
Views
957
Replies
13
Views
982
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
2
Replies
45
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
13
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
873
  • Introductory Physics Homework Help
Replies
4
Views
6K
Replies
2
Views
839
Back
Top