J & K CET Medical J & K - CET Medical Solved Paper-2004

  • question_answer
    If the initial temperatures of metallic sphere and disc of same radius and nature are equal, then the ratio of their rate of cooling will be :

    A)  1 : 4                                      

    B)  4 : 1

    C)  1 : 2                                      

    D)  2 : 1

    Correct Answer: D

    Solution :

                    From Newton's law of cooling, the rate of loss of heat by a body is proportional to the temperature difference between the body and its surroundings and is given by Rate of loss heat \[=Area\times [T'-T]\] Area of sphere\[=4\pi {{r}^{2}},\]area of disc\[=2\pi {{r}^{2}}\] \[\therefore \] \[\frac{Rate\text{ }of\text{ }cooling\text{ }of\text{ }sphere}{Rate\text{ }of\text{ }cooling\text{ }of\text{ }disc}=\frac{4\pi {{r}^{2}}}{2\pi {{r}^{2}}}=\frac{2}{1}\]


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