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
    If the resistance of a conductor is \[5\Omega \] at \[50{}^\circ C\]& \[7\Omega \] at \[100{}^\circ C,\] then mean temperature coefficient

    A) \[0.013/{}^\circ C~\]

    B) \[0.004/{}^\circ C\]

    C) \[0.006/{}^\circ C\]

    D) \[0.008/{}^\circ C\]

    Correct Answer: A

    Solution :

    [a] \[[\text{Hint}\Rightarrow {{R}_{t}}={{R}_{0}}(1+\alpha t)]\] \[5\Omega ={{R}_{0}}\left( 1+\alpha \times 50 \right)\text{  and 7}\Omega ={{R}_{0}}\left( 1+\alpha \times 100 \right)\] \[\text{or }\frac{5}{7}=\frac{1+50\alpha }{1+100\alpha }\text{ or }\alpha =\frac{2}{150}=0.0133/{}^\circ C\]


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