A potentiometer wire of length L and resistance R is connected to a driver cell of negligible internal resistance and emf E. A cell of emf E/2 is balanced at a length L/2. If the length of the potentiometer wire is doubled, at what length will the same cell be balanced?
L
L/2
2L
L/4
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$\begin{array}{*{20}{l}}
{{\rm{120}},,{\rm{cm}}}
\end{array}$
$\begin{array}{*{20}{l}}
{{\rm{240}},,{\rm{cm}}}
\end{array}$
$\begin{array}{*{20}{l}}
{{\rm{480}},,{\rm{cm}}}
\end{array}$
$\begin{array}{*{20}{l}}
{{\rm{600}},,{\rm{cm}}}
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64 cm
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3.6
2.4
1.2
0.6
In a potentiometer circuit, a cell of EMF 1.5 V gives a balance point at 36 cm length of wire. If another cell of EMF 2.5 V replaces the first cell, then at what length of the wire will the balance point occur?
21.6 cm
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25 cm
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60 cm
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$\begin{array}{*{20}{l}}
{{\rm{2}}{\rm{.4}},,{\rm{V}}}
\end{array}$
$\begin{array}{*{20}{l}}
{{\rm{1}}{\rm{.2}},,{\rm{V}}}
\end{array}$
$\begin{array}{*{20}{l}}
{{\rm{2}}{\rm{.0}},,{\rm{V}}}
\end{array}$