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 l1 cm and l2 cm respectively. The magnitudes, of the resistors R and X, in ohms,
are then, equal, respectively, to: