In potentiometer experiment, cells of e.m.f. ' $E_1$ ' and ' $E_2$ ' are connected in series…

In potentiometer experiment, cells of e.m.f. ' $E_1$ ' and ' $E_2$ ' are connected in series $\left(E_1>E_2\right)$ the balancing length is $64 \mathrm{~cm}$ of the wire. If the polarity of $\mathrm{E}_2$ is reversed, the balancing length becomes $32 \mathrm{~cm}$. The ratio $\frac{E_1}{E_2}$ is
  1. $1: 1$
  2. $6: 1$
  3. $3: 1$
  4. $2: 1$

Solution

$\frac{E_1}{E_2}=\frac{\ell_1+\ell_2}{\ell_1-\ell_2}=\frac{64+32}{64-32}=\frac{96}{32}=3$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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