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Q. Which one is the correct option for the two different thermodynamic processes ?
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JEE MainJEE Main 2021Thermodynamics

Solution:

Option (a) is wrong ; since in adiabatic
process $V \neq$ constant.
Option (b) is wrong, since in isothermal process
$T =$ constant
Option (c) $\&$ (d) matches isothermes $\&$
adiabatic formula :
$T V^{\gamma-1}=$ constant $\& \frac{ T ^{\gamma}}{ p ^{\gamma-1}}=$ constant