KVPY SX SB Exam 2012 Question Paper

A conducting rod of mass m and length I is free to move without friction on two parallel long conducting rails, as shown below. There is a resistance R across the rails. In the entire space around, there is a uniform magnetic field B normal to the plane of the rod and rails. The rod is given an impulsive velocity ${\mathit{v}}_0$ Finally, the inilial energy $\frac{1}{2}\mathit{m}{\mathit{v}}_0^2$