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

  • question_answer
    A liquid of mass M and specific heat S is at a temperature 2t. If another liquid of thermal capacity 1.5 times, at a temperature of \[\frac{t}{3}\] is added to it, the resultant temperature will be [EAMCET (Engg.) 1999]

    A)            \[\frac{4}{3}t\]                    

    B)            t

    C)            \[\frac{t}{2}\]                      

    D)            \[\frac{2}{3}t\]

    Correct Answer: B

    Solution :

               \[{{\theta }_{mix}}=\frac{{{m}_{1}}{{c}_{1}}{{\theta }_{1}}+{{m}_{2}}{{c}_{2}}{{\theta }_{2}}}{{{m}_{1}}{{c}_{1}}+{{m}_{2}}{{c}_{2}}}\]\[=\frac{m\,s\,(2t)+1.5\,(m\,s)\times \frac{t}{3}}{m\,s+1.5\,(m\,s)}=t\]


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