How many orbitals is/are possible with $n=3$, $l=1$ and $m_l=-1$ value?

How many orbitals is/are possible with $n=3$, $l=1$ and $m_l=-1$ value?
  1. 2
  2. 3
  3. 5
  4. 1

Solution

Symbol ' $n$ ' represent number of shells. Symbol ' $l$ ' represent value of subshell and symbol $m_l$ represent value of orientation of the orbital. $\because$ Given, $n=3, l=1$ and $m_l=-1$ means an orbital is present in $p$-subshell of 3rd shell having orientation value $=-1$. (i.e. $p_x$ or $p_y$ ). Thus, only one orbital is possible for the given set of values of $n, l$ and $m_l$. Hence, option (d) is the correct answer.

Asked in: AP EAMCET 2019 (21 Apr Shift 1)

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