In potentiometer experiment when $K_1$ is closed balance length is $100\,cm$. Then what will be balancing length when $K_2$ is closed ................ $\mathrm{cm}$
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$\mathrm{V}=\mathrm{x} \ell$
$\mathrm{IR}=\mathrm{x} \times 100$
${\rm{I}}({\rm{R}} + {\rm{R}}) = {\rm{x}} \times {\ell ^\prime }$
$\frac{1}{2}=\frac{100}{\ell^{\prime}}$
$\Rightarrow \ell^{\prime}=200 \mathrm{\,cm}$
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