CMC Medical CMC-Medical VELLORE Solved Paper-2014

  • question_answer
    A \[2{}^\circ C\] rise in temperature is observed in a conductor by parsing a current. When the current is triped, the rise in temperature will be

    A)  \[9{}^\circ C\]                                  

    B)  \[18{}^\circ C\]  

    C)  \[27{}^\circ C\]                                

    D)  \[36{}^\circ C\]

    Correct Answer: B

    Solution :

                    According to the question, \[{{i}^{2}}RT=m\,c\Delta t\] \[\Delta T\propto i\] \[\frac{\Delta {{T}_{1}}}{\Delta {{T}_{2}}}={{\left( \frac{{{i}_{1}}}{{{i}_{2}}} \right)}^{2}}={{\left( \frac{{{i}_{1}}}{3{{i}_{1}}} \right)}^{2}}=\frac{1}{9}\] \[\Delta {{T}_{2}}=9\Delta {{T}_{1}}\]        \[=9\times 2\]        \[=18\,{}^\circ C\]


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