What is the Largest Quantum Number for Li3+ with a 60 Å Orbital Radius?

  • Thread starter Thread starter hassony
  • Start date Start date
  • Tags Tags
    Quantum number
Click For Summary
The largest quantum number for the Li3+ ion with an orbital radius of 60 Å is discussed, noting that Li3+ is a bare nucleus with no electrons. The calculation presented suggests that the quantum number can be approximated using the formula √(60×3/0.529), yielding results around 18 or 20 to one significant figure. The discussion emphasizes the unique nature of Li3+ in this context. Overall, the focus is on determining the quantum number relevant to the specified orbital radius.
hassony
Messages
1
Reaction score
0
Threads moved from a technical forum so no Homework Template is shown.
TL;DR Summary: Quantum number of a state

What is the largest quantum number of a state of the Li3+ ion with an orbital radius equal to 60 A?

I tried solving the question as below
IMG_1470.jpeg
 
Physics news on Phys.org
Apart from belonging in the homework section, Li3+ is a bare nucleus. It has no electrons.
 
Apart from Li3+ being a bare nucleus, ##\sqrt{\dfrac{60\times 3}{0.529}}=18## or ##20## to one sig. fig.
 
Thread 'Chain falling out of a horizontal tube onto a table'

Thread 'Chain falling out of a horizontal tube onto a table'

My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...
View full post »

Similar threads

Show that the radius of the exoplanet is about 1/2 of Earth’s radius
  • · Replies 2 ·
Replies
2
Views
834
Find the location knowing the resonance using Kepler's third law
  • · Replies 2 ·
Replies
2
Views
1K
Find the unkown tensions and masses in the situation below
  • · Replies 8 ·
Replies
8
Views
984
Question about Momentum and torque
  • · Replies 10 ·
Replies
10
Views
986
Throwing a baseball while standing on an Asteroid
  • · Replies 5 ·
Replies
5
Views
2K
Friction on a spinning wheel when it is dropped onto the ground
  • · Replies 30 ·
Replies
30
Views
1K
Radius of the electron orbit in a Hydrogen atom
  • · Replies 15 ·
Replies
15
Views
3K
How to Calculate Amplitude Decrease in Damped Harmonic Motion After 10 Cycles?
  • · Replies 3 ·
Replies
3
Views
726
Shielding or principal quantum number predicts Covalent or Ionic?
  • · Replies 0 ·
Replies
0
Views
2K
Find at what rate the orbit radius will grow
  • · Replies 30 ·
Replies
30
Views
2K