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IP A hydrogen atom has an orbital angular momentrum with a

Chapter 31, Problem 43P

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QUESTION:

IP A hydrogen atom has an orbital angular momentum with a magnitude of \(10 \sqrt{57}(h / 2 \pi)\)

(a) Determine the value of the quantum number \(\ell\) for this atom.

(b) What is the minimum possible value of this atom's principal quantum number,  Explain.

(c) If \(10 \sqrt{57}(h / 2 \pi)\) is the maximum orbital angular momentum this atom can have, what is its energy?

Equation Transcription:

   

 

Text Transcription:

10 \sqrt{57}(h / 2 \pi)

\ell

10 \sqrt{57}(h / 2 \pi)

Questions & Answers

QUESTION:

IP A hydrogen atom has an orbital angular momentum with a magnitude of \(10 \sqrt{57}(h / 2 \pi)\)

(a) Determine the value of the quantum number \(\ell\) for this atom.

(b) What is the minimum possible value of this atom's principal quantum number,  Explain.

(c) If \(10 \sqrt{57}(h / 2 \pi)\) is the maximum orbital angular momentum this atom can have, what is its energy?

Equation Transcription:

   

 

Text Transcription:

10 \sqrt{57}(h / 2 \pi)

\ell

10 \sqrt{57}(h / 2 \pi)

ANSWER:

Step 1 of 4

Here, we have to calculate the orbital quantum number, principal quantum number and the energy.

The equation for the orbital angular momentum.

The equation for the energy.

a)

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