JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Self Evaluation Test - Current Electricity

  • question_answer
    At what temperature will the resistance of a copper wire becomes three times its value at \[0{}^\circ C\]? (Temperature coefficient of resistance of copper is \[4\times {{10}^{-3}}/{}^\circ C\] )

    A) \[550{}^\circ C\]

    B) \[500{}^\circ C\]

    C) \[450{}^\circ C\]

    D) \[400{}^\circ C\]

    Correct Answer: B

    Solution :

    [b] \[{{R}_{t}}={{R}_{0}}\left( 1+\alpha t \right)\] at \[t{}^\circ C\]\[{{R}_{t}}=3{{R}_{0}}\] \[\alpha =4\times {{10}^{-3}}/{}^\circ C\] \[3{{R}_{0}}={{R}_{0}}\left( 1+4\times {{10}^{-3}}\times t \right)\] \[\therefore \,\,\,\,\,\,3-1=4\times {{10}^{-3}}\times t\] \[\therefore \,\,\,\,t=\frac{2}{4\times {{10}^{-3}}}=500{}^\circ C\]


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