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

  • question_answer
    The temperature of a body falls from \[{{50}^{o}}C\]to \[{{40}^{o}}C\] in 10 minutes. If the temperature of the surroundings is \[{{20}^{o}}C\]Then temperature of the body after another 10 minutes will be                                  [Pb. PMT 2002]

    A)            \[{{36.6}^{o}}C\]                

    B)            \[{{33.3}^{o}}C\]

    C)            \[{{35}^{o}}C\]                    

    D)            \[{{30}^{o}}C\]

    Correct Answer: D

    Solution :

                       In first case \[\frac{50-40}{10}=K\left[ \frac{50+40}{2}-20 \right]\]          ?.(i)                    In second case \[\frac{40-{{\theta }_{2}}}{10}=K\left[ \frac{40+{{\theta }_{2}}}{2}-20 \right]\]  ?.(ii)            By solving \[{{\theta }_{2}}={{33.3}^{o}}C\].


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