RAJASTHAN ­ PET Rajasthan PET Solved Paper-2005

  • question_answer
    A body cools down from\[80{}^\circ C\]to\[70{}^\circ C\]in 6 min. The time taken to cool it from\[60{}^\circ C\]to\[50{}^\circ C\]will be

    A)  less than 6 min

    B)  6 min

    C)  more than 6 min

    D)  None of the above

    Correct Answer: C

    Solution :

     According to Newton's law of cooling, Rate of cooling\[\propto \]Mean temperature difference \[\Rightarrow \] \[\frac{Fall\text{ }in\text{ }temperature}{Time}\propto \left[ \frac{{{\theta }_{1}}+{{\theta }_{2}}}{2}-{{\theta }_{0}} \right]\] \[\because \] \[\left[ \frac{{{\theta }_{1}}+{{\theta }_{2}}}{2} \right]>{{\left[ \frac{{{\theta }_{1}}+{{\theta }_{2}}}{2} \right]}_{2}}\] \[\Rightarrow \] \[{{T}_{1}}<{{T}_{2}}\]


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