Total number of angular nodes of orbitals associated with third shell $(n=3)$ of an atom is

Total number of angular nodes of orbitals associated with third shell $(n=3)$ of an atom is
  1. $3$
  2. $4$
  3. $2$
  4. $1$

Solution

Total number of angular nodes $=l$, for a given orbital. For $n=3$, there will be three subshells having $3 \mathrm{~s}$, $3 \mathrm{p}$ and $3 \mathrm{~d}$ orbitals. For $3 \mathrm{~s}, l=0$, so zero angular nodes. For $3 \mathrm{p}, l=1$, so one angular nodes. For $3 \mathrm{~d}, l=2$, so two angular nodes. $\Rightarrow$ Total angular nodes $=0+1+2=3$

Asked in: AP EAMCET 2023 (19 May Shift 1)

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