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Edited: This may be a simple standard qn but im not gettin the final ans. An ideal gas is contained in a piston cylinder arrangement. Area of piston is A and its mass is M. The surrounding atm pressure is P 0 . Under equilbrium condition, volume of the gas is V 0 . Find the angular frequency of small vertical oscillations of the piston assuming expansion and compression of the gas to be adiabatic. assume adiabatic constant = . The ans is


Edited:
This may be a simple standard qn but im not gettin the final ans.
An ideal gas is contained in a piston cylinder arrangement. Area of piston is A and its mass is M.
The surrounding atm pressure is P0. Under equilbrium condition, volume of the gas is V0 . Find the angular frequency of small vertical oscillations of the piston assuming expansion and compression of the gas to be adiabatic. assume adiabatic constant =.

The ans is
\sqrt{\frac{\gamma.A}{V_{0}}\times(g+\frac{P_{0}A}{m})}




Grade:upto college level

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