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Show that the number of states with the ...

Show that the number of states with the same quantum number n is `2n^(2)`.

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Knowledge Check

  • The number of states in a shell with principal quantum number n=3 is

    A
    3
    B
    9
    C
    15
    D
    18

  • The total number of orbitals possible for the quantum number n is

    A
    n
    B
    `n^(2)`
    C
    2n
    D
    `2n^(2)`

  • The number of values of the orbital quantum number associated with the principal quantum number n=3 is

    A
    1
    B
    2
    C
    9
    D
    4
    • RESNICK AND HALLIDAY-ALL ABOUT ATOMS -PROBLEMS
    1. Show that the number of states with the same quantum number n is 2n^(2...

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    2. A hypothetical atom has only two atomic energy levels, separated by 3....

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    3. Suppose two electrons in an atom have quantum numbers n=2 and l=1. (a)...

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    4. An electron in a mercury atoms is in the 3d subshell. Which of the fol...

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    5. An atom of uranium has closed 6p and 7s subshell. Which subshell has g...

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    6. A tungsten (Z=74) target is bombarded by electrons in an x-ray tube. T...

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    7. A high-powered laser beam (lambda=600nm) with a beam diameter of 10 cm...

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    8. What are the initial and final shells for an M(beta) line in an x-ray ...

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    9. Consider the elements selenium (Z=34), bromine (Z=35), and krypton (Z=...

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    10. Which element has K(alpha) x-ray line whose wavelength is 0.180 nm?

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    11. An X-ray tube operates at 20 kV. A particular electron loses 5% of its...

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    12. The x rays shown are produced when 35.0 ke V electrons strike a molybd...

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    13. (a) From Eq. what is the ratio of the photon energies due to K(alpha) ...

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    14. Show that a moving electron cannot spontaneously change into an x-ray ...

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    15. A population inversion for two energy levels is often described by ass...

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    16. Two of the three electrons in a lithium atom have quantum numbers (n, ...

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    17. A pulsed laser emits light at a wavelength of 694.4 nm. The pulse dura...

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    18. From Fig, calculate approximately the energy different E(L)-E(M) for m...

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    19. For a helium atom in its ground state, what are quantum numbers (n,l,m...

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    20. A hypothetical atom has two energy levels, with a transition wavelengt...

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