All Problems

Scattering of Particles. Rutherford-Bohr Atom

Problem 6.1

Employing Thomson's model, calculate the radius of a hydrogen atom and the wavelength of emitted light if the ionization energy of the atom is known to be equal to \(E=13.6 \mathrm{eV}\).

Reveal Answer
r=3e2/2E=0.16nm,λ=(2πc/e)Vmr3=0.24μmr=3 e^{2} / 2 E=0.16 \mathrm{nm}, \lambda=(2 \pi c / e) V \overline{m r^{3}}=0.24 \mu \mathrm{m}