Pathfinder Oscillations & Waves BYU 25
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0Opening of a glass bottle containing an ideal monoatomic gas is tightly closed with a cork fitted with a thin frictionless glass tube of cross-section area S. Inner volume of the tube is negligibly small as compared to volume V of the bottle. A small glass marble of mass m, when dropped in the tube, it starts oscillating up and down in the tube without friction. The marble exactly fits inside the tube so that there is no leakage of air. Denoting atmospheric pressure by p0, find expression for period of oscillations of the marble. Treat the glass, the cork and the material of the marble as perfect insulator of heat.
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