In an experiment to find $emf$ of a cell using potentiometer, the length of null point for a cell of emf $1.5\,V$ is found to be $60\,cm$. If this cell is replaced by another cell of $emf\; E$. the length-of null point increases by $40\,cm$. The value of $E$ is $\frac{x}{10} V$. The value of $x$ is $............$
JEE MAIN 2023, Medium
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$\frac{E_1}{E_2}=\frac{l_1}{l_2}$

$\frac{1.5}{E_2}=\frac{60}{60+40}=\frac{6}{10}=\frac{3}{5}$

$E_2=\frac{5}{2}=\frac{x}{10}$

$x=25$

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