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Rank the following pairs of quantum stat...

Rank the following pairs of quantum states for an electron confined to an infinite well according to the energy differences between the states, greatest first : (a) n = 3 and, (b) n = 5 and n = 4, (c) n = 4 an n = 3.

Text Solution

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(b), (a), (c)
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Knowledge Check

  • One energy difference between the states n = 2 and n= 3 is EeV , in hydrogen atom. The ionisation potential of H atom is -

    A
    3.2 E
    B
    5.6 E
    C
    7.2 E
    D
    13.2 E
  • The following sets of quantum numbers represents four electrons in an atom: a. n=4,l=1 b. n=4,l=0 c. n=3,l=2 d. n=3,l=1 The sequance representing increasing order of energy is

    A
    `a lt c lt b lt d`
    B
    `d lt b lt c lt a`
    C
    `b lt d lt a lt c`
    D
    `c lt a lt d lt b`
  • The separation energy of the electron present in the shell n = 3 is 1.51 eV. What is the energy in the first excited state -

    A
    `-1.51eV`
    B
    `-3.4 eV`
    C
    `+1.51eV`
    D
    `+3.4eV`
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    How many electron states are in these subshells: (a) n=4,l=3 , (b) n=3,l=2, (c ) n=4,l=1, (d) n=2,l=0 ?

    An electron is trapped in a one-dimensional infinite potential well. For what (a) higher quantum number and (b) lower quantum number is the corresponding energy difference equal to the energy diflerence DeltaF_(43) between levels n = 4 and n = 3? (c) Show that no pair of adjacent levels has an energy difference equal to 2DeltaE_(43) .

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