The relation between the slope of isothemal curve and slope of adiabatic curveA. slope of adiabatic curve =`gamma` times slope of isotharmal curveB. slope of isothermal curve =`gamma` times slope of adiabatic curveC. slope of adiabatic curve =`gamma^(2)` times slope of isothermal curveD. slope of isothermal curve =`gamma^(2)` times slope of adiabatic curve

The relation between the slope of isothemal curve and slope of adiabat

1.	The relation between the slope of isothemal curve and slope of adiabatic curveA. slope of adiabatic curve =`gamma` times slope of isotharmal curveB. slope of isothermal curve =`gamma` times slope of adiabatic curveC. slope of adiabatic curve =`gamma^(2)` times slope of isothermal curveD. slope of isothermal curve =`gamma^(2)` times slope of adiabatic curve
Answer» Correct Answer - A For isothermal process , PV= constant Differentiating both side `PdV+VdP=0 or (dP)/(dV)=(-P)/(V)` Again for adiabatic process, `PV^(gamma)`=constant Again differentiating both side `dPV^(gamma)+gammaV^(gamma-1)dVP=0 or (dP)/(dV)=-(P)/(V)xxgamma` slope of diabatic curve = `gammaxxslope` of isothermal curve

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