P. 4814. A thin uniform ring of mass \(\displaystyle M\) has a charge \(\displaystyle +Q\) distributed uniformly on it. It is at rest in empty space with no force acting on it. A particle of mass \(\displaystyle m\) and charge \(\displaystyle +q\) is projected towards the ring along its axis from infinity with a speed \(\displaystyle v_0\), the minimum speed required by the particle to pass through the ring. The particle passes through the ring to move to an infinite distance from it in the opposite side.
\(\displaystyle (i)\) What is the minimum speed of the particle during its entire motion?
\(\displaystyle (ii)\) What is the maximum speed of the ring during the entire event?
\(\displaystyle (iii)\) What are the final speeds of the particle and the ring at the end of the event?
[Neglect any loss of energy by the system due to radiation.]
Deadline expired on 10 March 2016.