Potentiometer wire length is \( 10 \mathrm{~m} \), having a total \( \mathrm{P} \) resistance of...

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Potentiometer wire length is \( 10 \mathrm{~m} \), having a total
\( \mathrm{P} \) resistance of \( 10 \Omega \). If a battery of emf 2 volts

W (of negligible internal resistance) and a rheostat are connected to it then the potential gradient is \( 20 \mathrm{mV} / \mathrm{m} \); find the resistance imparted through the rheostat :-
(1) \( 90 \Omega \)
(2) \( 990 \Omega \)
(3) \( 40 \Omega \)
(4) \( 190 \Omega \)
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