IIT-JEE 2008 · Paper 2 · Chemistry Q66

ChemistryMatrix match+6Question 66 of 66

Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 × 4 matrix given in the ORS.

Column I

A
Orbital angular momentum of the electron in a hydrogen-like atomic orbital
B
A hydrogen-like one-electron wave function obeying Pauli principle
C
Shape, size and orientation of hydrogen-like atomic orbitals
D
Probability density of electron at the nucleus in hydrogen-like atom

Column II

P
Principal quantum number
Q
Azimuthal quantum number
R
Magnetic quantum number
S
Electron spin quantum number

Answer and worked solution

Official answer: A → Q, R; B → P, Q, R, S; C → P, Q, R; D → P, Q

A, orbital angular momentum. Its magnitude $\sqrt{l(l+1)}\hbar$ depends on $l$ , and its z-component $m\hbar$ on $m$ . → Q, R.
B, a complete one-electron state obeying Pauli's principle is specified by all four quantum numbers. → P, Q, R, S.
C, shape, size and orientation of an orbital: $l$ (shape), $n$ (size), $m$ (orientation). → P, Q, R.
D, probability density at the nucleus. It is non-zero only for s orbitals ( $l=0$ ) and its value depends on $n$ ( $\propto Z^3/n^3$ ). → P, Q.

Answer: A → Q, R; B → P, Q, R, S; C → P, Q, R; D → P, Q

Topics:Quantum numbers Orbitals and their shapes

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IIT-JEE 2008 · Paper 2, Chemistry question 66