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

  • question_answer
    A body cools in 7 minutes from \[{{60}^{o}}C\] to \[{{40}^{o}}C\] What time (in minutes) does it take to cool from \[{{40}^{o}}C\] to \[{{28}^{o}}C\] if the surrounding temperature is \[{{10}^{o}}C\]? Assume Newton?s Law of cooling holds                                                           [Kerala (Engg.) 2001]

    A)            3.5

    B)            11

    C)            7    

    D)            10

    Correct Answer: C

    Solution :

                       In first case \[\frac{60-40}{7}=K\left[ \frac{60+40}{2}-10 \right]\]            ?.(i)                    In second case \[\frac{40-28}{t}=K\left[ \frac{40+28}{2}-10 \right]\]      ?.(ii)            By solving \[t=7\]minutes


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