Verified Solution • 2025–26 Session moderate

QAIPMT-2010-Ph-2058: NEET 2010 Physics - Class 12 AIPMT-2010-Ph-2058 Solution: A potentiometer circuit is set up as shown. The potential…

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 length

l_1

cm and

l_2

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

Multiple Choice Options

A $k(l_2-l_1)$ and $kl_2$
B $kl_1$ and $k(l_2-l_1)$
C $k(l_2-l_1)$ and $kl_1$
D $kl_1$ and $kl_2$

Step-by-Step Verified Solution

(i) When key between the terminals 1 and 2 is plugged in, P.D. across R = IR = k l 1 _ R = k l 1 as I = 1A (ii) When key between terminals 1 and 3 is plugged in, P.D. across (X + R) = I(X + R) = k l 2 _ X + R = k l 2 _ X = k ( l 2 � l 1 ) _ R = k l 1 and X = k ( l 2 � l 1 )

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