Calculate the orbital Bohr radius of the $n = 2$ excited state in a hydrogen atom. $( r \mathrm { 1 } = 0.0529 \mathrm {~nm} )$
A) 0.212 nm
B) 0.106 nm
C) 0.170 nm
D) 0.244 nm

Question

Quizplus · Accepted Answer

The Bohr radius for an excited state is given by $ r_n = n^2 \times r_1 $. For $ n = 2 $, $ r_2 = 2^2 \times 0.0529 \, \text{nm} = 0.2116 \, \text{nm} $, which rounds to 0.212 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