A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wir...
0A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire, is \( \mathbf{k} \) volts \( / \mathrm{cm} \) and the ammeter, present in the
\( \mathrm{P} \) circuit, reads 1 . \( \mathrm{A} \) when two way key is switched off. The balance points, when the key between the
W terminals (i) 1 and 2 (ii) 1 and 3 , is plugged in, are found to be at lengths \( \ell_{1} \mathrm{~cm} \) and \( \ell_{2} \mathrm{~cm} \) respectively. The magnitudes, of the resistors \( R \) and \( X \), (in ohms), are then, equal to respectively :-
(1) \( \mathbf{k} \ell_{1} \) and \( \mathbf{k} \ell_{2} \)
(2) \( \mathbf{k}\left(\ell_{2}-\ell_{1}\right) \) and \( \mathbf{k} \ell_{2} \)
(3) \( \mathbf{k} \ell_{1} \) and \( \mathbf{k}\left(\ell_{2}-\ell_{1}\right) \)
(4) \( \mathrm{k}\left(\ell_{2}-\ell_{1}\right) \) and \( \mathrm{k} \ell_{1} \)
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