Particle in a tube

JEE Advanced 2019 Paper 2, Question 3

A small particle of mass m moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from the closed end is L=L_{0} the particle speed is v=v_{0} . The piston is moved inward at a very low speed V such that V \ll \frac{{\rm d} L}{L} v_{0}, where {\rm d} L is the infinitesimal displacement of the piston. Which of …

Continue Reading