Chapter 9, Problem 9.51E

Equations $9.33$ and $9.34$ can be combined and rearranged to find the quantized velocity of an electron in the Bohr hydrogen atom. (a) Determine the expression for the velocity of an electron. (b) From your expression, calculate the velocity of an electron in the lowest quantized state. How does it compare to the speed of light? $\left(c=2.9979\times {10}^8\text{m}/\text{s}\right)$ (c) Calculate the angular momentum $L=mvr$ of the electron in the lowest energy state of the Bohr hydrogen atom. How does this compare with the assumed value of the angular momentum from equation $9.33$?