Haryana PMT Haryana PMT Solved Paper-2000

  • question_answer
    A \[3{}^\circ C\] rise of temperature is observed in a conductor by passing a certain current, when the current is doubled, the rise. of temperature will be :

    A) \[3{}^\circ C\]

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

    C) \[12{}^\circ C\]

    D) \[15{}^\circ C\]

    Correct Answer: C

    Solution :

                    Using the relation, \[W=JQ\]                 or            \[{{i}^{2}}RT=Jmc\,\,\Delta \theta \]                 or            \[\Delta \theta \,\propto \,{{i}^{2}}\] Hence,  \[\frac{\Delta {{\theta }_{2}}}{\Delta {{\theta }_{1}}}={{\left( \frac{{{i}_{2}}}{{{i}_{1}}} \right)}^{2}}={{(2)}^{2}}=4\] So, \[\Delta {{\theta }_{2}}=4\times \Delta {{\theta }_{1}}=4\times 3={{12}^{o}}C\]


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