Q8 Question: 9 A small particle of mass m moving inside a heavy, hollow and straight...

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Q8 Question: 9 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 th other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is L = Lo the particle speed is v = v₁. The piston is moved inward at a very low speed V <<vo, where dL is the infinitesimal displacement of the piston. Which of the following statement(s) is/are correct? such that V<<< -V Options: dL If the piston moves inward by dL, the particle speed increases by 2 The particle's kinetic energy increases by a factor of 4 when the piston is moved inward from L to Lo After each collision with the piston, the particle speed increases by 2V The rate at which the particle strikes the piston Q8 Question: 9 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 th other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is L = Lo the particle speed is v = v₁. The piston is moved inward at a very low speed V <<vo, where dL is the infinitesimal displacement of the piston. Which of the following statement(s) is/are correct? such that V<<< -V Options: dL If the piston moves inward by dL, the particle speed increases by 2 The particle's kinetic energy increases by a factor of 4 when the piston is moved inward from L to Lo After each collision with the piston, the particle speed increases by 2V The rate at which the particle strikes the piston