JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion Sample Paper Topic Test - Thermometry, Calorimetry & Thermal Expansion

  • question_answer
    \[t={{t}_{1}}+{{t}_{2}}=\frac{M}{R}(C\Delta T+L)\] A glass flask is filled up to a mark with 50 cc of mercury at \[18{}^\circ C\]. If the flask and contents are heated to \[38{}^\circ C,\] how much mercury will be above the mark? (\[\alpha \] for glass is \[9\times {{10}^{-6}}/{}^\circ C\] and coefficient of real expansion of mercury is\[180\times {{10}^{-6}}/{}^\circ C\])

    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
    \[\Delta V={{V}_{0}}\left[ \gamma L-\gamma  \right]\Delta \text{ }\!\!\theta\!\!\text{  = V}\left[ {{\gamma }_{m}}-3{{\alpha }_{g}} \right]\Delta \text{ }\!\!\theta\!\!\text{ }\]
    \[=50\left[ 180\times {{10}^{-6}}-3\times 9\times {{10}^{-6}} \right]\left( 38-18 \right)\]
    \[=0.153\,cc\]


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