Atomic Structure - Result Question 79

####55. Match the entries in Column I with the correctly related quantum number(s) in Column II.

$(2008,6 M)$

Column I Column II
A. Orbital angular momentum
of the electron in a
hydrogen-like atomic orbital.
p. Principal
quantum
number
B. A hydrogen-like one-electron
wave function obeying
Pauli’s principle.
q. Azimuthal
quantum
number
C. Shape, size and orientation
of hydrogen-like atomic
orbitals.
r. Magnetic
quantum
number
D.Probability density of
electron at the nucleus in
hydrogen-like atom.
s. Electron spin
quantum
number

Fill in the Blanks

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Answer:

Correct Answer: 55. $Cr=[Ar] 3 d^{5}, 4 s^{1}$

Solution:

  1. A. Orbital angular momentum

$$ (L)=\sqrt{l(l+1)} \frac{h}{2 \pi} $$

i.e. $L$ depends on azimuthal quantum number only.

B. To describe a one electron wave function, three quantum numbers $n, l$ and $m$ are needed. Further to abide by Pauli exclusion principle, spin quantum number $(s)$ is also needed.

C. For shape, size and orientation, only $n, l$ and $m$ are needed.

D. Probability density $\left(\psi^{2}\right)$ can be determined if $n, l$ and $m$ are known.



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