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

  • question_answer
    Consider two hot bodies \[{{B}_{1}}\] and \[{{B}_{2}}\] which have temperatures \[{{100}^{o}}C\] and \[{{80}^{o}}C\] respectively at \[t=0\]. The temperature of the surroundings is \[{{40}^{o}}C\]. The ratio of the respective rates of cooling \[{{R}_{1}}\] and \[{{R}_{2}}\] of these two bodies at \[t=0\] will be                                         [MP PET 1990]

    A)            \[{{R}_{1}}:{{R}_{2}}=3:2\]     

    B)            \[{{R}_{1}}:{{R}_{2}}=5:4\]

    C)            \[{{R}_{1}}:{{R}_{2}}=2:3\]     

    D)            \[{{R}_{1}}:{{R}_{2}}=4:5\]

    Correct Answer: A

    Solution :

                       Initially at t = 0 Rate of cooling (R) µ Fall in temperature of body (q ? q0) Þ \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{{{\theta }_{1}}-{{\theta }_{0}}}{{{\theta }_{2}}-{{\theta }_{0}}}=\frac{100-40}{80-40}=\frac{3}{2}\]


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