In the given potentiometer


In the given potentiometer circuit arrangement, the balancing length $\mathrm{AC}$ is measured to be $250 \mathrm{~cm}$. When the galvanometer connection is shifted from point (1) to point (2) in the given diagram, the balancing length becomes $400 \mathrm{~cm}$. The ratio of the emf of two cells, $\frac{\varepsilon_{1}}{\varepsilon_{2}}$ is :

  1. $\frac{5}{3}$

  2. $\frac{8}{5}$

  3. $\frac{4}{3}$

  4. $\frac{3}{2}$

Correct Option: 1


$\mathrm{E}_{1}=\mathrm{k} \ell_{1}$...(1)

$\mathrm{E}_{1}+\mathrm{E}_{2}=\mathrm{k} \ell_{2}$...(2)


$8 \mathrm{E}_{1}=5 \mathrm{E}_{1}+5 \mathrm{E}_{2}$

$3 \mathrm{E}_{1}=5 \mathrm{E}_{2}$


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