JEE Main & Advanced Physics Transmission of Heat Question Bank Radiation Newton's Law of Cooling

  • question_answer
    A calorimeter of mass 0.2 kg and specific heat 900 J/kg-K. Containing 0.5 kg of a liquid of specific heat 2400J /kg-K. Its temperature falls from \[{{60}^{o}}C\,\text{to}\,\,\text{5}{{\text{5}}^{\text{o}}}C\] in one minute. The rate of cooling is                                                                   [MP PET 2003]

    A)            5 J/s                                         

    B)            15 J/s

    C)            100 J/s                                    

    D)            115 J/s

    Correct Answer: D

    Solution :

                       Rate of cooling (here it is rate of loss of heat) \[\frac{dQ}{dt}=(mc+W)\frac{d\theta }{dt}=({{m}_{l}}{{c}_{l}}+{{m}_{c}}{{c}_{c}})\frac{d\theta }{dt}\] Þ \[\frac{dQ}{dt}=(0.5\times 2400+0.2\times 900)\left( \frac{60-55}{60} \right)\]\[=115\ \frac{J}{\sec }\].


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