An electron is revolving in a circular orbit of radius 'r' in hydrogen atom. Using Bohr's theory, the angular momentum of the electron is (M = magnetic dipole moment, m = mass of electron)

Step-by-step solution

The magnetic dipole moment M of an electron revolving in a circular orbit is given by M = I A The equivalent current I = e T = e v 2 r The area of the orbit A = r^2 Therefore, M = ( e v 2 r ) ( r^2) = e v r 2 The angular momentum of the electron is L = m v r From the expression for M , we can write v r = 2M e Substituting this into the equation for angular momentum, we get L = m ( 2M e ) = 2mM e Answer: 2mM e