Look up the values of the quantities in $a_B=\frac{h^2}{4{\pi }^2{m}_{e}k{q}_e^2}$, and verify that the Bohr radius $a_B$ is $0.529\times 10^{-10}\text{ m}$.

Video Transcript

This is College Physics Answers with Shaun Dychko. The Bohr radius is Planck's constant squared divided by 4 times π squared times the mass of an electron times Coulomb's constant times the elementary charge squared. So we substitute for each of these constants and then get our answer; 5.29 times 10 to the minus 11 meters is the Bohr radius.