Physics-
General
Easy

Question

A cylindrical piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of a gas. The cylinder is kept with its axis horizontal. If the piston is slightly compressed isothermally from its equilibrium position, it oscillates simple harmonically, the period of oscillation will be

  1. T = 2 pi square root of fraction numerator M h over denominator P A end fraction end root    
  2. T = 2 pi square root of fraction numerator M A over denominator P h end fraction end root    
  3. T = 2 pi square root of fraction numerator M over denominator P A h end fraction end root    
  4. T = 2 pi square root of M P h A end root    

The correct answer is: T = 2 pi square root of fraction numerator M h over denominator P A end fraction end root

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