Q 1 :    

The correct set of four quantum numbers for the valence electron of rubidium atom (Z = 37) is:             [2024]

  • 5, 1, 0, + 12

     

  • 5, 1, 1, + 12

     

  • 5, 0, 1, + 12

     

  • 5, 0, 0, + 12

     

(D)          R37b=[36Kr]5s1  

              For last electron, n=5,l=0,m=0,s=+12 or -12

 



Q 2 :    

Given below are two statements:

 

Statement (I): The orbitals having same energy are called as degenerate orbitals.

 

Statement (II): In hydrogen atom, 3p and 3d orbitals are not degenerate orbitals.

 

In the light of the above statements, choose the most appropriate answer from the options given below:            [2024]

  • Statement I is true but Statement II is false

     

  • Both Statement I and Statement II are true

     

  • Both Statement I and Statement II are false

     

  • Statement I is false but Statement II is true

     

(A)            Different subshells of a particular shell have different energies in the case of multi- electrons atoms. AIl the orbitals within the same subshell have the same energy, these are called degenerate orbitals. In a multielectron system energy of an orbital depends upon its (n+l) value. The higher the value of (n+l), more is the energy of the orbital.

                However, in a hydrogen atom, all the subshells in a shell have the same energy i.e. value of energy depends only upon value of n and not upon (n+l). 3p and 3d orbitals in hydrogen atoms have same energy (degenerate).

 

 



Q 3 :    

The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19) are           [2024]

  • n=4,l=0,m=0,s=+12

     

  • n=2,l=0,m=0,s=+12

     

  • n=4,l=2,m=-1,s=+12

     

  • n=3,l=0,m=1,s=+12

     

(A)             K19=[18Ar]4 s1

                   The four quantum numbers of outermost orbital electron are:

                   n=4,l=0(s subshell),m=0(s orbital),s=+12 or -12

 



Q 4 :    

Compare the energies of following sets of quantum numbers for multielectron system.

 

(A) n=4,l=1

 

(B) n=4,l=2

 

(C) n=3,l=1

 

(D) n=3,l=2

 

(E) n=4,l=0

 

Choose the correct answer from the options given below:                 [2024]

  • (C) < (E) < (D) < (A) < (B)

     

  • (E) < (C) < (D) < (A) < (B)

     

  • (B) > (A) > (C) > (E) > (D)

     

  • (E) > (C) > (A) > (D) > (B)

     

(A)            For multielectron species, more is value of n+1 for an orbital, more is the energy of the orbital. If two orbitals have same value of n+1, then the one with higher value of n has higher energy.

 



Q 5 :    

 

In an atom, total number of electrons having quantum numbers n=4, |m1|=1 and ms=-12 is _________ .              [2024]



(6)           

Principal
quantum
number (n)
Azimuthal
quantum
number (l)
Magnetic quantum
number (m)
             4             0 0
              1 -1, 0, +1
              2 -2, -1, 0, +1, +2
              3 -3, -2, -1, 0, +1, +2, +3

 

There are total 6 orbitals with |m|=1 (three with m=-1 and other three with m=+1). Each of these six orbitals can have an electron with ms=-12