JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Electric Conduction Ohms and Resistance

  • question_answer
    The specific resistance of a wire is \[\rho \], its volume is 3\[{{m}^{3}}\] and its resistance is 3 ohms, then its length will be                                                                                              [CPMT 1984]

    A)                    \[\sqrt{\frac{1}{\rho }}\]

    B)                                      \[\frac{3}{\sqrt{\rho }}\]

    C)                    \[\frac{1}{\rho }\sqrt{3}\]                                          

    D)            \[\rho \sqrt{\frac{1}{3}}\]

    Correct Answer: B

    Solution :

                 \[\text{Volume}=Al=3\Rightarrow A=\frac{3}{l}\]            \[\text{Now}\]\[R=\rho \frac{l}{A}\Rightarrow 3=\frac{\rho \times l}{3/l}=\frac{\rho {{l}^{2}}}{3}\]\[\Rightarrow {{l}^{2}}=\frac{9}{\rho }=\frac{3}{\sqrt{\rho }}\]


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