Q.Show that the circumference of the Bohr orbit for the hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron revolving around the nucleus.

De Broglie's wave picture of the electron supplies the physical justification Bohr's model itself never had for its central postulate. Treating the electron in an orbit as a standing wave wrapped around the nucleus, a stable wave can only exist if it closes smoothly on itself after one full circuit - meaning the orbit's circumference must equal a whole …