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The wave function of 3s electron is give...

The wave function of `3s` electron is given by
`Psi_(3s)=1/(81sqrt(3)prod)(1/a_(0))^(3//2)[27-18(r/a_(0))+2(r/a_(0))^(2)]e^(-r//3a_(0))`
It has a node at `r=r_(0)`, Find out the relation between `r_(0)` and `a_(0)`

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Verified by Experts

The correct Answer is:
`r_(0)=7. 1a_(0)` and `r_(0)=1.95 a_(0)`
Nodal point
`|Psi|^(2)=0`
`[27-18(r/a_(0))+2(r/a_(0))^(2)]=0`
`r_(0)/a_(0)=(18 +-sqrt(18^(2)-4xx27xx2))/(4)=(18+-10.4)/(4)`
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