Calculate the orbital Bohr radius of the $n = 2$ excited state in a hydrogen atom. $( r 1 = 0.0529 \mathrm {~nm} )$

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The Bohr radius for an electron in the $n$th energy level of a hydrogen atom is given by $r_n = n^2 r_1$, where $r_1$ is the Bohr radius for the ground state ($n=1$). Given $r_1 = 0.0529 \mathrm{~nm}$ and $n=2$, $r_2 = 2^2 \times 0.0529 \mathrm{~nm} = 4 \times 0.0529 \mathrm{~nm} = 0.212 \mathrm{~nm}$.

Calculate the Orbital Bohr Radius of The n=2n = 2n=2 Excited State in a Hydrogen Atom

Calculate the Orbital Bohr Radius of The $n = 2$ Excited State in a Hydrogen Atom