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The circuit diagram shown consists of a large number of element (each element has two resistors \( R_{1} \) and \( R_{2} \). The resistance of the resistors in each subsequent element differs by a factor of \( K=1 / 2 \) from the resistance of the resat tors in the previous elements. The equivalent resistance between A
P
and \( \mathrm{B} \) shown in figure is:
(A) \( \frac{R_{1}-R_{2}}{2} \)
(B) \( \frac{\left(R_{1}-R_{2}\right)+\sqrt{6 R_{1} R_{2}}}{2} \)
(C) \( \frac{\left(R_{1}-R_{2}\right)+\sqrt{R_{1}^{2}+R_{2}^{2}+6 R_{1} R_{2}}}{2} \)
(D) None of these


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