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Physics · 2013
JEE Main 2013 · 2013-04-07 Offline · Q37
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…
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 $\displaystyle \mathrm{V}_0$ and its pressure is $\displaystyle \mathrm{P}_0$. 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 :
Official answer
(4)
$\displaystyle \frac{1}{2 \pi} \sqrt{\frac{\mathrm{~A}^2 \gamma \mathrm{P}_0}{\mathrm{MV}_0}}$
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JEE Main 2013 Physics question, with the answer from NTA’s final answer key. Where our answers come from.