Q. The Schrodinger wave equation for an atomic orbital of $H-$ atom is given -
$\psi=\frac{1}{4 \left(\right. 2 \pi \left(\left.\right)^{1 / 2}}\left(\frac{1}{a_{0}}\right)^{3 / 2}\left(2 - \frac{r}{a_{0}}\right)e^{- r / 2 a_{0}}$
Where $a_{0}=0.529\mathring{A} $ then which of the following curve is incorrect regarding this atomic orbital -

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A

B

C

D

Solution:

To find out the radial note
$2-\frac{r}{a_{0}}=0;r=2a_{0}$
If $1$ radial node is present then $n-\ell -1=1....$ (1)
and above wave function is independent of angle
So, angular node $\left(\ell \right)=0$ ....(2)
From (1) and (2)
$n=2,\ell =0$
Orbital $=2s$

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