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Answer: Option 3
Since only for a reversible process we have relation : $$TdS = \delta Q$$ Since for an adiabatic process $$\delta Q = 0$$ $$ \,\,\, \Rightarrow $$ for an reversible adiabatic process $$TdS = 0.$$ So, entropy remains constant. Whereas for an irreversible adiabatic process $$TdS \geqslant 0.$$ Hence entropy goes on increasing for an irreversible adiabatic process.
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