MCQ
If there is $2$ nodal surfaces in third excited state. Find the orbital angular momentum
  • A
    $\sqrt 3 \,\hbar $
  • $\sqrt 2 \,\hbar $
  • C
    $4\,\hbar $
  • D
    $\frac{1}{{\sqrt 2\, \hbar }}\,$

Answer

Correct option: B.
$\sqrt 2 \,\hbar $
b
Third excited state $n=4$

$n-\ell-1=2$

$4-\ell-1=2$

$C=1$

$=\sqrt{\ell(\ell+1)} \hbar$

$=\sqrt{1(1+1)} h=\sqrt{2} \hbar$

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