The figure shows a metre-bridge circuit, with \( A B=100 \mathrm{~cm} \), \( X=12 \Omega \) and ...

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The figure shows a metre-bridge circuit, with \( A B=100 \mathrm{~cm} \), \( X=12 \Omega \) and \( R=18 \Omega \), and the jockey \( J \) in the position of balance. If \( R \) is now made \( 8 \Omega \), through what distance will \( J \) have to be moved to obtain balance?
(a) \( 10 \mathrm{~cm} \)
(b) \( 20 \mathrm{~cm} \)
(c) \( 30 \mathrm{~cm} \)
(d) \( 40 \mathrm{~cm} \)
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