Three different processes that can occur in an ideal monoatomic gas are shown in the $P$ vs $V$ diagram. The paths are labelled as $A \rightarrow B, A \rightarrow C$ and $A \rightarrow D .$ The change in internal energies during these process are taken as $E _{ AB }, E _{ AC }$ and $E _{ AD }$ and the work done as $W _{ AB }$ $W _{ AC }$ and $W _{ AD }$

The correct relation between these parameters are

JEE MAIN 2020, Diffcult
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$\Delta U = nC _{ v } \Delta T =$ same

$AB \rightarrow$ volume is increasing $\Rightarrow W >0$

$AD \rightarrow$ volume is decreasing $\Rightarrow W <0$

$AC \rightarrow$ volume is constant $\Rightarrow W =0$

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