An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and the cylinder have cross sectional area A. When the piston is in equilibrium, the volume of the gas is V0 and its pressure is P0 . The piston is slightly displaced from the equilibrium position and released.Assuming that the system is completely isolated from its surrounding,the piston executes a simple harmonic motion with frequency:
As we have learned
Relation between slope of isothermal and adiabatic process -
- wherein
At equilibrium
Let the atmospheric pressure is pa
Let piston is displaced slightly into the cylinder then pressure become
Since cylinder is isolated , then the process is adiabatic
Acceleration = F/M =
This equation is of SHM with
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Option 2)
Option 3)
Option 4)
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