$A$ monoatomic ideal gas, initially at temperature $T_1$, is enclosed in a cylinder fitted with a massless, frictionless piston. By releasing the piston suddenly, the gas is allowed to expand adiabatically to a temperature $T_2$. If $L_1$ and $L_2$ are the lengths of the gas columns before and after expansion respectively, then $(T_2 / T_1)$ is given by

  • A
    $(L_1 / L_2)^{2/3}$
  • B
    $(L_2 / L_1)^{2/3}$
  • C
    $(L_1 / L_2)$
  • D
    $(L_2 / L_1)$

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