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Match the entries in Column-I with correctly related quantum number (s) in Column-II
Column - I Column - II
i) Orbital angular momentum of the electron in a hydrogen-like atomic orbital p) Principal quantum number (n)
ii) A hydrogen-like one electron wave function obeying pauli’s exclusion principle q) Azimuthal quantum number (l)
iii) Shape, size and orientation of hydrogen like atomic orbitals r) Magnetic quantum number (m)
iv) Probability function of electron at the nucleus in hydrogen like atom s) Electron spin quantum number (s)

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i - p,r , ii - s , iii - p,q , iv - p

i - p,q , ii - p,r , iii - r,s , iv - p,s

i - q , ii - p,q,r,s , iii - p,q,r , iv - p,q,r

i - p,r,s , ii - p,s , iii - q,r,s , iv - r,s

answer is B.

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Detailed Solution

i) Orbital angular momentum $L = \sqrt{l (l + 1)} \frac{h}{2 π}$ $l$ depends on the value of $l$ (azimuthal quantum number)

ii) To describe wave function $(Ψ)$ , n, $l$ and m are needed if , it obeys pauli’s exclusion principle, the S is also needed.

iii) Value of n, $l$ and m are needed to determine size, shape and orientation.

iv) Probability function is based on radial function and angular function hence n, $l$ and m

Thus, $(i) \to q; (i i) \to p, q, r, s; (i i i) \to p, q, r; (i v) \to (p, q, r)$

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