Question

what is the maximum number of d orbitals in a principal energy level?
1
5
2
3

Explanation:

In quantum mechanics, for a given orbital type (here, \(d\) orbitals), the number of orbitals is determined by the magnetic quantum number (\(m_l\)). For \(d\) orbitals, the angular quantum number (\(l = 2\)). The magnetic quantum number \(m_l\) can take values from \(-l\) to \(+l\) (including \(0\)). So for \(l = 2\), \(m_l=- 2,-1,0,1,2\). Each value of \(m_l\) corresponds to one orbital.

Answer:

5