A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire...

A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire, is k volt / cm and the ammeter, present in the circuit, reads 1.0  A when two way key is switched off. The balance points, when the key between the terminals (i) 1 and 2 (ii) 1 and 3 , is plugged in, are found to be at lengths l_1 cm and l_2 cm respectively. The magnitudes, of the resistors R and X, in ohms, are then, equal, respectively, to
(a) k(l_2-l_1) and k l_2
(b) k l_1 and k(l_2-l_1)
(c) k(l_2-l_1) and k l_l
(d) k l_1 and k l_2
(2010)

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