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
    A wire X is half the diameter and half the length of a wire Y of similar material. The ratio of resistance of X to that of Y is

    A) 8 : 1     

    B) 4 : 1

    C) 2 : 1     

    D) 1 : 1

    Correct Answer: C

    Solution :

    [c] \[R=\frac{\rho \ell }{(\pi {{D}^{2}}/4)}\text{or }R\propto \frac{\ell }{{{D}^{2}}}.\] \[\frac{{{R}_{x}}}{{{R}_{y}}}=\frac{{{\ell }_{x}}}{D_{x}^{2}}\times \frac{D_{y}^{2}}{{{\ell }_{y}}}=\frac{{{\ell }_{y}}/2}{{{({{D}_{y}}/2)}^{2}}}\times \frac{D_{y}^{2}}{{{\ell }_{y}}}=\frac{2}{1}\]


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