A monoatomic ideal gas| KTG & THERMODYNAMICS |JEE-MAIN 2021

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JEE-MAIN 2021

25-07-2021 S1

Question

A monoatomic ideal gas, initially at temperature $T_1$ is enclosed in a cylinder fitted with a frictionless pistion. The gas is allowed to expand adiabatically to a temperature $T_2$ by releasing the piston suddenly. If $I_1$ and $I_2$ are the lengths of the gas column, before and after the expansion respectively, then the value of $\frac{T_1}{T_2}$ will be :

Select the correct option:

A

$\left(\frac{I_1}{I_2}\right)^{\frac{2}{3}}$

B

$\left(\frac{I_2}{I_1}\right)^{\frac{2}{3}}$

C

$\frac{\mathrm{I}_2}{\mathrm{I}_1}$

D

$\frac{\mathrm{I}_1}{\mathrm{I}_2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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