The wave function of 2s electrons is given by : Ψ2s=14√2π(1a0)3/2(2−ra0)e(2−ra0) If it has a node at r=r0, then the relation between r0 and a0 is:
A
r0=2a0
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B
r0>2a0
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C
r0<2a0
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D
none of the above
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Solution
The correct option is Dr0=2a0 Since, the wave function has a node at r=r0, its value becomes zero. ψ2s=0 This is possible when the term (2−ra0) becomes zero. (2−r0a0)=0 2=r0a0 r0=2a0