Question

The number of orbitals associated with quantum numbers $n=5,m_s=+\frac{1}{2}$ is:

• A. $25$
• B. $50$
• C. $11$
• D. $15$

Answer 1

The correct option is A $25$

$n=5;l=(n–1)=4;$ hence the possible sub-shells for $n=5$ are: 5s, 5p, 5d, 5f and 5g. The number of orbitals in each would be 1, 3, 5, 7 and 9, respectively and summing them up gives the answer as 25.