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The ratio of the slopes of P-V graphs of adiabatic and isothermal process is(in terms of specific heat ratio γ)

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a
γ
b
1+γ
c
d
1-γ

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detailed solution

Correct option is A

In isothermal process dPdVIsotherm=-PV---(1)In adiabatic processdPdVAdiabatic=-γPV---(2)From equation (2) divided by equation(1 )⇒Ratio=slope of adiabatic processslope of isothermal process ⇒Ratio=-γPV-PV ⇒Ratio=γ


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