In figure battery \( E \) is balanced on \( 55 \mathrm{~cm} \) leng...

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In figure battery \( E \) is balanced on \( 55 \mathrm{~cm} \) length of potentiometer wire but when a resistance of \( 10 \Omega \) is connected in parallel with the battery then it balances on \( 50 \mathrm{~cm} \) length of the potentiometer wire then internal resistance \( r \) of the battery is _______.
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