JEE MAIN - Physics (2025 - 2nd April Evening Shift - No. 18)
Explanation
In an adiabatic process, the key characteristics for a monoatomic gas are:
No Heat Exchange: The adiabatic process occurs without heat transfer, meaning $ Q = 0 $.
Work Done and Internal Energy Change: The work done on or by the system is equal to the change in internal energy. Mathematically, this is expressed as:
$ \Delta U = -W $
where $\Delta U$ is the change in internal energy and $W$ is the work done.
Work and Temperature Relationship: The work done when changing the temperature from $ T_1 $ to $ T_2 $ is proportional to the difference between these temperatures. This relationship can be expressed as:
$ |\text{Work Done}| = nC_v \Delta T \propto (T_2 - T_1) $
Here, $ n $ is the number of moles, $ C_v $ is the molar heat capacity at constant volume, and $\Delta T$ is the change in temperature.
From these characteristics, the correct features of an adiabatic process in a monoatomic gas relate to the relationships involving work done and temperature change, specifically options (B) and (E).
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