Which of the following statement concerning probability density (ψ2) and radial distribution function (4πr2ψ2) for a s-orbital of H-like species is correct?

Which of the following statement concerning probability density (ψ2) and radial distribution function (4πr2ψ2) for a s-orbital of H-like species is correct?

  1. A

    ψ2 is minimum at nucleus but 4πr2 ψ2 is maximum at nucleus

  2. B

    ψ2 is maximum at nucleus but 4πr2 ψ2 is minimum at nucleus.

  3. C

    Both ψ2 and 4πr2 ψ2 are maximum at nucleus.

  4. D

    Both ψ2 and 4πr2 ψ2 are minimum at nucleus.

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    Solution:

    ψ=1π1a03/2=era0
    Hence, ψ2 is maxirnum at r = 0, but 4πr2 ψ2 is minimum at r = 0.

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