Show that the cirumference of the Bohr orbit for hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron moving around the orbit.

Show that the cirumference of the Bohr orbit for hydrogen atom is an i

1.	Show that the cirumference of the Bohr orbit for hydrogen atom is an integral multiple of the de Broglie wavelength associated with the electron moving around the orbit.
Answer» SOLUTION :According to Bohr POSTULATE of angular momentum, `mvr= n h/(2PI) or 2 pi r=n h/(mv)` ...(i) According to de Broglie equation, `lambda=h/(mv)` ...(ii) Substituting this VALUE in eqn. (i) we get `2 pi r= n lambda` Thus, the cirumference `(2pi r)` of the bohr orbit for hydrogen atom is an integral mutiple of de Broglie wavelength.