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For H-atom wave function for a particula...

For H-atom wave function for a particulaonstate is: `Psi=(1)/(81sqrt(3pi))((1)/(a_(0)))^(3//2) (sigma^(2)-10sigma+25)e`
Where `sigma=r//a_(0)` and `a_(0)` is Bohr's radius `(0.53overset(@)A)`. Then distance of farthest radius mode is approximately.

A

`0.53 overset(@)A`

B

`2.12 overset(@)A`

C

`3.18overset(@)A`

D

`1.59overset(@)A`

Text Solution

Verified by Experts

`psi_(®)=0` at tadial nodes
`sigma^(2)-10sigma+24=0`
`(sigma-4)(sigma-6)=0`
`sigma=4` and `sigma=6`
farthest radial node at `sigma=6`
`(r )/(a_(0))=6rArr r=6a_(0)`
`r=6xx0.53 overset(@)A`
`r=3.18overset(@)A`
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