Question

State True or False.

For any two electron in an atom, the set of all four quantum number can be same

• A. True
• B. False

Answer 1

The correct option is B False

The given statement is false.
For any two electrons in an atom, the set of all four quantum number can never be same. This is in accordance with Pauli's exclusion principle which can be alternatively stated as' "Only two electrons may exist in the same orbital with three quantum numbers same i.e, the fourth quantum number different and these electrons must have opposite spin."
For example, in He atom, the 1st electron has four quantum numbers n, l, m and s as 1,0, 1 and $+\frac{1}{2}$ whereas the second electron has four quantum numbers n, l, m and s as 1,0, 1 and $-\frac{1}{2}$ respectively.