Match the quantum numbers with the information provided by them:

The incorrect set of quantum numbers among the following is:

1. n= 4, l= 0, m= 0, s= -1/2
2. n= 5, l= 3, m= 0, s= +1/2
3. n= 3, l= 2, m= -3, s= -1/2
4. n= 3, l= 2, m= 2, s= -1/2

Consider the following sets of quantum numbers:

              n         l         m         s

(i)         3         0         0          +1/2

(ii)        2         2         1          +1/2

(iii)       4         3        -2           -1/2

(iv)       1         0        -1           -1/2

(v)        3         2         3           +1/2

Which of the following sets of quantum numbers is not possible?

1. ii, iii and iv                             

2. i, ii, iii and iv

3. ii, iv and v                               

4. i and iii

Which of the following sets of quantum numbers is possible :
1. n = 0, l = 0, m_l = 0, m_s = + ½
2. n = 1, l = 0, m_l = 0, m_s = – ½
3. n = 1, l = 1, m_l = 0, m_s = + ½
4. n = 3, l = 3, m_l = –3, m_s = + ½

The correct set of four quantum numbers for the valence electron of a rubidium atom (Z =37) is: 

The quantum number not obtained from Schrodinger’s wave equation is:

The total number of electrons in an atom with the following quantum numbers would be
(a) n = 4, m_s = – ½ 
(b) n = 3, l = 0
1. 16,  2
2. 11, 8
3. 16, 8
4. 12, 7

The angular momentum of electrons in d orbital is equal to:
1. $\sqrt{6}$ $\sout{h}$
2. $\sqrt{2}$$\sout{h}$
3. $2\sqrt{3}$ $\sout{h}$
4. 0 $\sout{h}$

The development of the wave mechanical model of the atom is based on which of the following concepts?

1.  De-Broglie concept of the dual nature of the electron.

2.  Heisenberg uncertainty principle.

3.  Schrodinger's principle

4.  All of the above

The excited state of an H atom emits a photon of wavelength $\mathrm{\lambda }$ and returns to the ground state. The principal quantum number of the excited state is given by:

1.  $\sqrt{\mathrm{\lambda R}\left(\mathrm{\lambda R}-1\right)}$

2.  $\sqrt{\frac{\mathrm{\lambda R}}{\left(\mathrm{\lambda R}-1\right)}}$

3.  $\sqrt{\mathrm{\lambda R}\left(\mathrm{\lambda R}+1\right)}$

4.  $\sqrt{\frac{\left(\mathrm{\lambda R}-1\right)}{\mathrm{\lambda R}}}$