Breathing Fire

Chemistry Level 2

Ψ2s=142π(1a0)32(2ra0)era0\Large \Psi_{2s} = \frac{1}{4 \sqrt{2 \pi}} \left(\frac{1}{a_0}\right)^{\frac{3}{2}} \left(2- \frac{r}{a_0}\right) e^{\frac{-r}{a_0}}

The Schrödinger's wave equation for a hydrogen atom is given above, where a0a_0 is the Bohr's radius of 0.529 A 0.529\ \overset{\circ}{\text{A}} . If the radial node in 2s2s is at r0r_0, then what is the value of r0r_0 ?

Give your answer in Angstrom units: 1 A=1010 m1\ \overset{\circ}{\text{A}} = 10^{-10} \text{ m}.

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