A potentiometer wire of length \( 100 \mathrm{~cm} \) has a resista...

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A potentiometer wire of length \( 100 \mathrm{~cm} \) has a resistance of \( 10 \Omega \). It is connected in series
\( \mathrm{P} \) with a resistance and a cell of emf \( 2 \mathrm{~V} \) and of

W negligible internal resistance. A source of \( \mathrm{emf} \) \( 10 \mathrm{mV} \) is balanced against a length of \( 40 \mathrm{~cm} \) of the potentiometer wire. What is the value of external resistance?
(a) \( 790 \Omega \)
(b) \( 890 \Omega \)
(c) \( 990 \Omega \)
(d) \( 1090 \Omega \)
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