Elastic collision – JEE First

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 …

Tag: Elastic collision

Particle in a tube