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JEE Main & Advanced Physics Elasticity Question Bank Bulk Modulus

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    The specific heat at constant pressure and at constant volume for an ideal gas are \[{{C}_{p}}\] and \[{{C}_{v}}\] and its adiabatic and isothermal elasticities are \[{{E}_{\varphi }}\] and \[{{E}_{\theta }}\] respectively. The  ratio of \[{{E}_{\varphi }}\] to \[{{E}_{\theta }}\] is                [MP PMT 1989; MP PET 1992]

    A)                                 \[{{C}_{v}}/{{C}_{p}}\]                    

    B)                                 \[{{C}_{p}}/{{C}_{v}}\]                

    C)                                 \[{{C}_{p}}{{C}_{v}}\]                     

    D)                                 \[1/{{C}_{p}}{{C}_{v}}\]

    Correct Answer: B

    Solution :

                        Ratio of adiabatic and isothermal elasticities             \[\frac{E\varphi }{E\theta }=\frac{\gamma \,P}{P}=\gamma =\frac{{{C}_{p}}}{{{C}_{v}}}\]                


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