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The average radius (rav), at which an electron will be found when it occupies a 1S orbital of a hydrogenic atom with atomic number Z
  • a)
    3a0/2Z
  • b)
    a0/Z
  • c)
    a0/2Z
  • d)
    3a0/Z
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The average radius (rav), at which an electron will be found when it o...
For Hydrogen or a hydrogenic atom, the wave function is written as:
and dτ = r2dr sinθ dθ dϕ; 0 < r < ∞
; 0 < θ < π
; 0 < ϕ < 2π
Formula used 
Now the average value of r is calculated as:



Therefore, the average value of 'r' in the case of 1s orbital of H-atom is .
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The average radius (rav), at which an electron will be found when it occupies a 1S orbital of a hydrogenic atom with atomic number Za)3a0/2Zb)a0/Zc)a0/2Zd)3a0/ZCorrect answer is option 'A'. Can you explain this answer?
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