Angular Momentum of a hydrogen atom in the 7f state

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Homework Help Overview

The discussion revolves around calculating the magnitude of the orbital angular momentum of a hydrogen atom in the 7f state, specifically using the formula for angular momentum in quantum mechanics.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the application of the angular momentum formula, questioning the accuracy of calculations and the placement of constants within the formula. There is also a discussion about significant figures and rounding in the final answer.

Discussion Status

Participants are actively engaging with the calculations and questioning each other's approaches. Some guidance has been offered regarding the accuracy of significant figures, but there is no explicit consensus on the final value of the angular momentum.

Contextual Notes

There appears to be confusion regarding the correct interpretation of the formula and the values used in the calculations, as well as the need for precision in the final answer.

Noreturn
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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
 
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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?
 
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
 
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.
 

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