In order to measure the internal resistance \( r_{1} \) of a cell of emf \( E \), a meter bridge...

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In order to measure the internal resistance \( r_{1} \) of a cell of emf \( E \), a meter bridge of wire resistance \( R_{0}=50 \Omega \), a resistance \( R_{0} / 2 \), another cell of emf \( E / 2 \) (internal resistance \( r \) ) and a galvanometer \( \mathrm{G} \) are used in a circuit, as shown in the figure. If the null point is found at \( l=72 \mathrm{~cm} \), then the value of \( r_{1}=\ldots \Omega \).
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