Question

two parallel rails p and q each of length 2l and resistance per unit length rho are fixed in a horizontal plane a distance l apart in presence of a uniform vertical magnetic field of induction b and two ideal batteries each of terminal voltages v° are connected between the ends of the rails as shown in figure. two light sleeve rigidly connected by a conducting rod of length l and resistance r and mass m can slide without friction on the rails. the roof is slightly displaced from mid position and then released. Find the period of small oscillations of the rod. neglect potential drop at the contacts

Also please provide me the source of this question i.e the book name

Regards

Answer 1