JEE Main & Advanced Physics Elasticity Question Bank Bulk Modulus

  • question_answer
    If the volume of the given mass of a gas is increased four times, the temperature is raised from 27°C to 127°C. The elasticity will become

    A)                                 4 times                   

    B)                                 1/4 times                

    C)                                 3 times                   

    D)                                 1/3 times                

    Correct Answer: D

    Solution :

                        From the ideal gas equation \[\frac{{{P}_{1}}{{V}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{T}_{2}}}\]     \[\frac{{{E}_{2}}}{{{E}_{1}}}=\frac{{{P}_{2}}}{{{P}_{1}}}=\frac{{{V}_{1}}}{{{V}_{2}}}\times \frac{{{T}_{2}}}{{{T}_{1}}}=\left( \frac{1}{4} \right)\times \left( \frac{400}{300} \right)=\frac{1}{3}\]Þ\[{{E}_{2}}=\frac{{{E}_{1}}}{3}\]             i.e. elasticity will become \[\frac{1}{3}\] times.


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