Question

Match the entries in Column I with the correctly related quantum number(s) in Column II:

Column I		Column II
A	Orbital angular momentum of the electron in a hydrogenlike atomic orbital.	P	Principal quantum number.
B	A hydrogen-like one electron wave function obeying Pauli 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.

• A. $( A ) \rightarrow( P ) ;( B ) \rightarrow( P ),( Q ),( R ),( S ) ;( C ) \rightarrow( P ),( Q ),( R ) ;$ $( D ) \rightarrow( P ),( Q ),( R )$
• B. $( A ) \rightarrow( Q ) ;( B ) \rightarrow( P ),( R ),( S ) ;( C ) \rightarrow( P ),( Q ),( R ) ;$ $( D ) \rightarrow( P ),( Q ),( S )$
• C. $( A ) \rightarrow( Q ) ;( B ) \rightarrow( P ),( Q ),( R ),( S ) ;( C ) \rightarrow( P ),( Q ),( R ) ;$ $( D ) \rightarrow( P ),( Q ),( R )$
• D. $( A ) \rightarrow( P ) ;( B ) \rightarrow( P ),( R ),( S ) ;( C ) \rightarrow( P ),( Q ),( R ) ;$ $( D ) \rightarrow( P ),( Q ),( R )$

Answer 1

Answer: (C)

The properties are related to the quantum numbers as follows:
(A) Azimuthal quantum number determines the orbital angular momentum of electron.
(B) The hydrogen-like one electron wave function will be described by principal, azimuthal and magnetic quantum number. Further, since it obeys Pauli's exclusion principle, the spin quantum number is also used to characterize it completely.
(C) Principal quantum number determines the size of the orbital.
Azimuthal quantum number determines the shape of the orbital.
Magnetic quantum number determines the orientation of the orbital.
(D) Three of the quantum number (principal, azimuthal, magnetic) together represents the probability density of electron.