The wave function (Ψ) of 2s is given by: Ψ2s=12√2π(1a0)12{2−ra0}e−r2a0 At r=r0, radial node is formed. Thus for 2s, r0 in terms of a0 is:
A
r0=a0
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B
r0=2a0
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C
r0=a02
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D
r0=4a0
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Solution
The correct option is Br0=2a0 At the node, probability of finding an electron is zero. So, the wave function becomes zero. When r=r0,ψ2s=0, then from the given equation: 2−ra0=0 r=2a0