MCQ
The wave function $(\Psi)$ of $2 s$ is given by

$\Psi_{2 s}=\frac{1}{2 \sqrt{2 \pi}}\left(\frac{1}{a_0}\right)^{1 / 2}\left(2-\frac{ r }{ a _0}\right) e ^{- r / 2 a _0}$

At $r=r_0$, radial node is formed. Thus, $r_0$ in terms of $a_0$

  • A
    $r_0=a_0$
  • B
    $r_0=4 a_0$
  • C
    $r _0=\frac{ a _0}{2}$
  • $r_0=2 a_0$

Answer

Correct option: D.
$r_0=2 a_0$
d
At node $\Psi_{2 s }=0$

$\therefore 2-\frac{ r _0}{ a _0}=0$

$\therefore r _0=2 a _0$

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