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MHT CET · Physics · Current Electricity

When cell of e.m.f. ' \(E_1{ }^{\prime}\) is connected to potentiometer wire, the balancing length is ' \(\ell_1{ }^{\prime}\). Another cell of e.m.f. ' \(E_2{ }^{\prime}\left(E_1>E_2\right)\) is connected so that two cells oppose each other, the balancing length is ' \(\ell_2{ }^{\prime}\). The ratio \(\mathrm{E}_1: \mathrm{E}_2\) is

  1. A \(\frac{\ell_1}{\ell_1+\ell_2}\)
  2. B \(\frac{\ell_1}{\ell_1-\ell_2}\)
  3. C \(\frac{\ell_1-\ell_2}{\ell_1}\)
  4. D \(\frac{\ell_1+\ell_2}{\ell_1-\ell_2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{\ell_1}{\ell_1-\ell_2}\)

Step-by-step Solution

Detailed explanation

\(E_1 = k\ell_1\) \(E_1 - E_2 = k\ell_2\)
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