JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Question Bank Critical Thinking

  • question_answer
    A glass flask is filled up to a mark with 50 cc of mercury at 18ºC. If the flask and contents are heated to 38ºC, how much mercury will be above the mark? (a for glass is 9 × 10?6/ºC and coefficient of real expansion of mercury is 180 × 10?6/ºC)                                                            [EAMCET 1997]

    A)            0.85 cc                                     

    B)            0.46 cc

    C)            0.153 cc                                  

    D)            0.05 cc

    Correct Answer: C

    Solution :

                       Due to volume expansion of both mercury and flask, the change in volume of mercury relative to flask is given by \[\Delta V={{V}_{0}}[{{\gamma }_{L}}-{{\gamma }_{g}}]\Delta \theta =V[{{\gamma }_{m}}-3{{\alpha }_{g}}]\Delta \theta \] \[=50\,[180\times {{10}^{-6}}-3\times 9\times {{10}^{-6}}]\,(38-18)=0.153\,cc\]


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