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Question

Ψ1s=[1πa3o]er/a0
Above relation is wave function of hydrogen atom in ground state (r= distance of electron from nucleus and a0=0.529×108cm). For 1s orbital of hydrogen, the maximum probability of finding an electron is at r=:

A
a0/2
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B
a0
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C
2a0
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D
a0
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Solution

The correct option is D a0/2
Given, Ψ=[1πa30]er/a0
For maximum stability, Ψ2=0
Ψ2=1πa30er/a0
2ra0=1
Hence, r=a02

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