Showthat thecircumferencefo the Bohrorbitfor the hydrogenatom isan integralmultipleof thede-Brogliewavelengthassociatedwiththe electronrevolvingaroundthe orbit.

Showthat thecircumferencefo the Bohrorbitfor the hydrogenatom isan int

1.	Showthat thecircumferencefo the Bohrorbitfor the hydrogenatom isan integralmultipleof thede-Brogliewavelengthassociatedwiththe electronrevolvingaroundthe orbit.
Answer» Solution :ForBohr.smodelangularmomentumofelementis `m_(e)vr = (nh)/(2pi)` circumference `=2pi R = (nh)/(m_(e ) v)` and `m_( e)v= (nh)/(2pi r)` Accordingot de - BROGLIE `lambda= (h)/(mv) ` andmv `=(h)/(lambda)` as (i) and(II) mv = `(nh)/( 2pi r)= (h)/( lambda ) :., (N)/(2pi r)= (1)/(lambda):., 2pi r= n lambda` Bohr.sorbitcircumference `(2pi r ) = n ` de- Brogliewavelength In this wayde broylicwave lengthis associatedwthBohr.sorbitcircumference.