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CUET · PHYSICS · PYQ PAPER 2023

A current of \(1.0\) mA is flowing through a potentiometer wire of length 4 m and of resistance \( 40 \, \Omega \). The potential gradient of the potentiometer wire will be :

  1. A \( 10^{-1} \text{ V/m} \)
  2. B \( 10^{-2} \text{ V/m} \)
  3. C \(10^{-4} \text{ V/m} \)
  4. D \(10^{-3} \text{ V/m} \)
Verified Solution

Answer & Solution

Correct Answer

(B) \( 10^{-2} \text{ V/m} \)

Step-by-step Solution

Detailed explanation

\( V = IR \) \( V = (1.0 \times 10^{-3} \text{ A})(40 \, \Omega) = 40 \times 10^{-3} \text{ V} \) \( k = \frac{V}{L} \) \( k = \frac{40 \times 10^{-3} \text{ V}}{4 \text{ m}} = 10^{-2} \text{ V/m} \)
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