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The slopes of isothermal and adiabatic curves are related as

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Isothermal curve slope = adiabatic curve slope

Isothermal curve slope = γ×adiabatic curve slope

Adiabatic curve slope = γ×isothermal curve slope

Adiabatic curve slope = 12×isothermal curve slope

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detailed solution

Correct option is C

For Isothermal process PV=constant ⇒dPdV=−PV= Slope of Isothermal curve For adiabatic PVγ= constant ⇒dPdV=−γPV= Slop of adiabatic curve slopeClearly, dPdVadiabatic=γdPdVIsothermal

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