In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across $52\ cm$ of the potentiometer wire. If the cell is shunted by a resistance of $ 5\,\Omega$, a balance is found when the cell is connected across $40\ cm$ of the wire. Find the internal resistance of the cell ........... $\Omega$
JEE MAIN 2018, Medium
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Using formula, internal resistance,
$r=\left(\frac{l_{1}-l_{2}}{l_{2}}\right) s=\left(\frac{52-40}{40}\right) \times 5=1.5 \Omega$
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