Question

the number of degenerate orbitals in any p level is __________, in any d level is __________. 1) 1, 2 2) 3, 5 3) 5, 7 4) 6, 10

Explanation:

Step1: Recall Degenerate Orbitals

Degenerate orbitals have same energy. For p - subshell (l = 1), the magnetic quantum number \(m_l\) can take values \(- 1,0,+1\), so number of p - orbitals is 3. For d - subshell (l = 2), \(m_l\) can take values \(-2,-1,0,+1,+2\), so number of d - orbitals is 5.

Step2: Match with Options

Check options: Option 2 has 3 (for p) and 5 (for d), which matches our recall.

Answer:

1. 3, 5