Q.

For a 3s-orbital, value of  ψ is given by following relation:
 ψ3s=1931a03/266σ+σ2eσ/2;whereσ=2r.Z3a0
What is the maximum radial distance of node from nucleus?

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a

a0Z

b

323+3a0Z

c

2a0Z

d

3+3a0Z

answer is C.

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Detailed Solution

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Radial node occurs where probability of finding  e is zero
ψ2=0 or ψ=066σ+σ2=0;σ=3±3.
For max. distance r=323+3a0Z

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