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CUET · PHYSICS · PYQ PAPER 2025

The terminal voltages of a cell are found to be 29 V and 28 V when it delivers currents of 1 A and 2 A, respectively. The emf and the internal resistance of the cell are, respectively:

  1. A 30 V; 2 \( \Omega \)
  2. B 30 V; 1 \( \Omega \)
  3. C 32 V; 2 \( \Omega \)
  4. D 32 V; 1 \( \Omega \)
Verified Solution

Answer & Solution

Correct Answer

(B) 30 V; 1 \( \Omega \)

Step-by-step Solution

Detailed explanation

\(V = \epsilon - Ir\) \(29 = \epsilon - 1r \quad (1)\) \(28 = \epsilon - 2r \quad (2)\) \((1) - (2) \implies 29 - 28 = (\epsilon - r) - (\epsilon - 2r)\) \(1 = r\) Substitute \(r=1\) into (1): \(29 = \epsilon - 1(1)\) \(\epsilon = 30 \, \text{V}\)
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