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2. structure of atom — Chemistry STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceChemistry2. structure of atom1 Mark
MCQ
If $n$ & $l$ are principal and azimuthal quantum no. respectively then the expression for  calculating the total no. of electron in any energy level is :-
  • A
    $\sum\limits_{l = 0}^{l = n} {2(2l + 1)} $
  • B
    $\sum\limits_{l = 1}^{l = n - 1} {2(2l + 1)} $
  • C
    $\sum\limits_{l = 0}^{l = n + 1} {2(2l + 1)} $
  • ✓
    $\sum\limits_{l = 0}^{l = n - 1} {2(2l + 1)} $
✓

Answer

Correct option: D.
$\sum\limits_{l = 0}^{l = n - 1} {2(2l + 1)} $
d
If n and I are principal and azimuthal quantum numbers respectively, then the expression for calculating the total number of electrons in any energy level is $\sum_{l=0}^{l=n-1} 2(2 l+1)$

Thus, s-subshell $(l=0)$ contain 2 electrons.

p-subshell $(l=1)$ contain 6 electrons.

d-subshell $(l=2)$ contain 10 electrons.

f-subshell $(l=3)$ contain 14 electrons.

Therefore, the correct option is $D$

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