Discussion Forum

 In an atom, the total number of electrons  having quantum  numbers n=4,|m_l|=1  and m_s=-1/2 is 

Answer:

Explanation:

Plan  This problem is based on concept of quantum number. Follow the following steps to solve this problem. 

Write all possible orbitals having combination of same principle, azimuthal magnetic and spin quantum number.

Then count the all possible  electrons  having given set of quantum numbers

 For n=4, the total  number of possible  orbitals are

According to question |m₁|=1, i.e, there are two possible  values of m₁, i.e, +1 and -1

 and one orbital can contain maximum two electrons one having  s=+1/2 and other having s=-1/2

 So, total number of orbitals having (|m₁|=1)=6

 Total number of electrons having (|m₁|=1  and m₂=-1/2)  =6