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CUET · PHYSICS · PYQ PAPER 2023

In the given figure, the potentiometer wire, AB has a resistance of 5 \( \Omega \) and length 10 m. The balancing length AJ for 0.4 V is nearly:
image

  1. A 4 m
  2. B 1.52 m
  3. C 0.8 m
  4. D 0.4 m
Verified Solution

Answer & Solution

Correct Answer

(C) 0.8 m

Step-by-step Solution

Detailed explanation

\( k = \frac{E \cdot R_{AB}}{(R_{ext} + R_{AB}) \cdot L_{AB}} = \frac{20 \, \text{V} \cdot 5 \, \Omega}{(15 \, \Omega + 5 \, \Omega) \cdot 10 \, \text{m}} = \frac{100 \, \text{V}\Omega}{200 \, \Omega\text{m}} = 0.5 \, \text{V/m} \)…