JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    Adiabatic modulus of elasticity of a gas is \[2.1\times {{10}^{5}}N/{{m}^{2}}.\] What will be its isothermal modulus of elasticity \[\left( \frac{{{C}_{p}}}{{{C}_{v}}}=1.4 \right)\] [UPSEAT 1999]

    A)            \[1.8\times {{10}^{5}}N/{{m}^{2}}\]                              

    B)             \[1.5\times {{10}^{5}}N/{{m}^{2}}\]

    C)            \[1.4\times {{10}^{5}}N/{{m}^{2}}\]                              

    D)             \[1.2\times {{10}^{5}}N/{{m}^{2}}\]

    Correct Answer: B

    Solution :

               \[\frac{\text{Adiabatic elasticicity}\ ({{E}_{\varphi }})}{\text{Isothermal}\ \text{elasticicity}\ ({{E}_{\theta }})}=\gamma \]Þ\[{{E}_{\theta }}=\frac{{{E}_{\varphi }}}{\gamma }\] Þ \[{{E}_{\theta }}=\frac{2.1\times {{10}^{5}}}{1.4}\]\[=1.5\times {{10}^{5}}N/{{m}^{2}}\]


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