Answer to Question #137490 in Atomic and Nuclear Physics for Chowdhury Sidhratul Montaha

Question

Experiment indicate that 13.6 ev energy is required to separate a hydrogen atom into a proton and electron, that is E= -13.6 ev; Find the orbital radius of the electron in hydrogen atom.

Answer 1

$$E=0.5U=-\frac{ke^2}{2r}\\-13.6(1.6\cdot 10^{-19})=-\frac{(9\cdot 10^9)(1.6\cdot 10^{-19})^2}{2r}\\r=5.29\cdot 10^{-11}\ m$$