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

Show that the circumference of the Bohr orbit for the hydrogen atom is

1.	Show that the circumference of the Bohr orbit for the hydrogen atom is an intergral multiple of the de Broglie wavelength associated with the electron revolving around the orbit.
Answer» Solution :According to Bohr.s THEORY, `mvr=(nh)/(2pi)`(n=1,2,3,…….so on) ` or 2pir=(nh)/(mv) or mv=(nh)/(2pir)`……..(i) According to de Broglie equation, `GAMMA=h/(mv) or mv=(h)/(gamma)`…………..(ii) COMPARING (i)and (ii), `(nh)/(2pir)=h/(pi)or 2pir=ngamma` THUS,the circumference`(2pir)`of the Bohr orbit for hydrogen ATOM is an into the de Broglie wavelength.