Question

given a particular value of the principal quantum number (n), which quantum number primarily determines the shape of an orbital? answer: a n b l c m_d d m_s e l_m

Explanation:

The principal quantum number \(n\) determines the energy level and size of the orbital. The angular momentum quantum number \(\ell\) determines the shape of the orbital. For example, when \(\ell = 0\) (s - orbital), the shape is spherical; when \(\ell= 1\) (p - orbital), the shape is dumb - bell. The magnetic quantum number \(m_{\ell}\) determines the orientation of the orbital in space and the spin quantum number \(m_s\) determines the spin of the electron (\(+\frac{1}{2}\) or \(-\frac{1}{2}\)).

Answer:

b. \(\ell\)