Statement: (I): \(\oint \frac{{\delta Q}}{T} = 0,\) the cycle is reversible.
Statement (II): \(\oint \frac{{\delta Q}}{T} > 0,\)the cycle is irreversible and possible.

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ESE Mechanical 2015 Paper 1: Official Paper

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Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
Both Statement (I) and Statement (II) are individually true but Statement (II) is NOT the correct explanation of Statement (I)
Statement (I) is true but Statement (II) false
Statement (I) is false but Statement (II) is true

Answer 1

Clausius inequality states that \(\oint \frac{{{\rm{dQ}}}}{{\rm{T}}} \le 0\)

It provides the criteria for the reversibility of a cycle.

If \(\oint \frac{{{\rm{dQ}}}}{{\rm{T}}} = 0\), the cycle is reversible,

If, \(\oint \frac{{{\rm{dQ}}}}{{\rm{T}}} < 0\), the cycle is irreversible and possible

If \(\oint \frac{{\partial Q}}{T} > 0\) cycle is impossible

Therefore statement II) is incorrect.