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QJEEM23Chd0af: JEE Main 2023 Chemistry - Class 11 JEEM23Chd0af Solution: The wave function of is given by At , radial node is formed.…

The wave function (Ψ)(\Psi) of 2 s2 \mathrm{~s} is given by

Ψ2 s=122π(1a0)1/2(2−ra0)e−r/2a0\Psi_{2 \mathrm{~s}}=\frac{1}{2 \sqrt{2 \pi}}\left(\frac{1}{a_0}\right)^{1 / 2}\left(2-\frac{r}{a_0}\right) e^{-r / 2 a_0}

At r=r0r=r_0 , radial node is formed. Thus, r0r_0 in terms of a0a_0

Multiple Choice Options

  • A r0=a0r_0=a_0
  • B r0=4a0r_0=4 a_0
  • C r0=2a0r_0=2 a_0
  • D r0=a02r_0=\frac{a_0}{2}

Step-by-Step Verified Solution

For radial node ψ2s=0{\psi _{2s}} = 0

∴\therefore r=2a0r = 2{a_0}

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