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3.Current Electricity
medium
In the meter bridge shown, the length $AB$ for which the deflection in galvanometer is zero will be ............. $cm$

A
$20$
B
$30$
C
$50$
D
$60$
Solution

$\frac{\mathrm{R}_{1}}{\mathrm{R}_{2}}=\frac{\ell}{100-\ell}$
$\Rightarrow \frac{15}{10}=\frac{\ell}{100-\ell}$
$\Rightarrow \ell=60 \mathrm{\,cm}$
Standard 12
Physics