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MHT CET · Physics · Current Electricity

To determine the internal resistance of a cell with potentiometer, when the cell is shunted by a resistance of \(5 \Omega\), the balancing length is 250 cm . When the cell is shunted by \(20 \Omega\), the balancing length of potentiometer wire is 400 cm . The internal resistance of the cell is

  1. A \(3 \Omega\)
  2. B \(4 \Omega\)
  3. C \(5 \Omega\)
  4. D \(6 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(5 \Omega\)

Step-by-step Solution

Detailed explanation

\( \frac{L_1}{L_2} = \frac{R_1(R_2+r)}{R_2(R_1+r)} \) \( \frac{250}{400} = \frac{5(20+r)}{20(5+r)} \)