An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. the piston and the cylinder have equal cross sectional area A. when the piston is in equilibrium, the volume of the gas is `V_(0)` and its pressure is `P_(0)`. the piston is slightly displaced from the equilibrium posittion and released. assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency
A
`(1)/(2pi)(AgammaP_(0))/(V_(0)M)`
B
`(1)/(2pi)(V_(0)MP_(0))/(A^(2)gamma)`
C
`(1)/(2pi)sqrt((A^(2)gammaP_(0))/(MV_(0)))`
D
`(1)/(2pi)sqrt((MV_(0))/(AgammaP_(0)))`
Text Solution
Verified by Experts
The correct Answer is:
C
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ALLEN-UNIT & DIMENSIONS, BASIC MATHS AND VECTOR -Exercise (J-M)
