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A system goes from $A$ and $B$ via two processes I and II as shown in figure. If $\Delta U_1$ and $\Delta U_2$ are the changes in internal energies in the processes I and II respectively, then the relation between $\Delta U_1$ and $\Delta U_2$ is

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The correct answer is:
$\Delta U_1=\Delta U_2$
Internal energy is a state function, i.e. it depends upon initial and final state.
Hence, it does not depend upon the path chosen.
Since, initial and final states are same, so
$\Delta U_1=\Delta U_2$
Hence, it does not depend upon the path chosen.
Since, initial and final states are same, so
$\Delta U_1=\Delta U_2$
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