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Introduction to Quantum Mechanical Model

For an electr...

Question

For an electron in a hydrogen atom, the wave function $Ψ$ is proportional to exp, where $a_{0}$ is the Bohrs radius. What is the ratio of the probability of finding the electron at the nucleus to the probability of finding it at $a_{0}$ ?

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e^{2}

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1 / e^{2}

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zero

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Solution

The correct option is D zero
Electron cannot be found at nucleus.
$∴$ Probability finding electron at nucleus is zero.

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a_{0}

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Ψ_{1 s} = [\frac{1}{\sqrt{π a_{o}^{3}}}] e^{- r / a_{0}}

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