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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Critical Thinking

  • question_answer
    A closed hollow insulated cylinder is filled with gas at \[{{0}^{o}}C\] and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to \[{{100}^{o}}C.\] If the piston moves \[5\,cm,\] the length of the  hollow cylinder is               [EAMCET 2001]

    A)            13.65 cm                                

    B)            27.3 cm

    C)            38.6 cm                                   

    D)            64.6 cm

    Correct Answer: D

    Solution :

                       Using Boyle?s law, we have \[\frac{V}{T}=\]constant Þ  \[\frac{\frac{l}{2}+5}{373}=\frac{\frac{l}{2}-5}{273}\] As the piston moves 5 cm, the length of one side will be \[\left( \frac{l}{2}+5 \right)\] and other side \[\left( \frac{l}{2}-5 \right)\]. On solving this equation, we get l = 64.6 cm.


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