JEE Main & Advanced Physics Current Electricity, Charging & Discharging Of Capacitors / वर्तमान बिजली, चार्ज और कैपेसिटर का निर Question Bank Critical Thinking

  • question_answer
    Following figure shows cross-sections through three long conductors of the same length and material, with square cross-section of edge lengths as shown. Conductor B will fit snugly within conductor A, and conductor C will fit snugly within conductor B. Relationship between their end to end resistance is

    A)            RA = RB = RC

    B)            RA > RB > RC

    C)            RA < RB < R

    D)            Information is not sufficient

    Correct Answer: A

    Solution :

                       All the conductors have equal lengths. Area of cross-section of A is \[\{{{(\sqrt{3}\,a)}^{2}}-{{(\sqrt{2}\,a)}^{2}}\}={{a}^{2}}\] Similarly area of cross-section of B = Area of cross-section of C = a2 Hence according to formula \[R=\rho \frac{l}{A};\] resistances of all the conductors are equal  i.e. RA = RB = RC


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