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Let the equation of oscillation be given by  Velocity would be given as  Kinetic energy at an instant is given by Time Period  is given by The Average Kinetic Energy would be given as follows The potential energy at an instant T is given by  The Average Potential Energy would be given by We can see Kav = Uav
Let the initial volume and pressure of the chamber be V and P. Let the ball be pressed by a distance x. This will change the volume by an amount  ax. Let the change in pressure be  Let the Bulk's modulus of air be K. This pressure variation would try to restore the position of the ball. Since force is restoring in nature displacement and acceleration due to the force would be in different...