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General
Easy
Question
A cylindrical piston of mass M slides smoothly inside a long cylinder closed at one end, enclosing a certain mass of gas. The cylinder is kept with its axis horizontal. If the piston is disturbed from its equilibrium position, it oscillates simple harmonically. The period of oscillation will be
The correct answer is:
Let the piston be displaced through distance x towards left, then volume decreases, pressure increases. If 
is increase in pressure and 
is decrease in volume, then considering the process to take place gradually (i.e. isothermal)
(neglecting 
This excess pressure is responsible for providing the restoring force (F) to the piston of mass M.
Hence 
Comparing it with 
Short trick : by checking the options dimensionally. Option (a) is correct.
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