AIPMT PRELIMS 2010 Physics Potentiometer MCQ Question
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 Å 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 Ω, are then, equal, respectively, to
kl₁ and kl₂
k(l₂ − l₁) and kl₂
kl₁ and k(l₂ − l₁)
k(l₂ − l₁) and kl₁
Correct Answer
Detailed Explanation
The resistance per unit length is k Ω/cm. Therefore, R ∝ l₁ and X ∝ (l₂ − l₁). Solving gives R = kl₁ and X = k(l₂ − l₁).
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