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Q.

For 3s orbital of hydrogen atom, the normalized wave function is given by  φ3s=1813π(1a0)3/2[2718ra0+2r2a02]er3a0
The above mentioned orbital (3s) has two spherical nodes at2a0 and xa0 . Find the value of x/4 [Use: 33=5]

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Detailed Solution

At nodes, radial distribution function =0

2718ra0+2r2a02=0 2r218rao+27ao2=0   r=1.9a0 and   7a0    x=7 

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