A thin uniform wire \( A B \) of length \( 1 \mathrm{~m} \), an unk...

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A thin uniform wire \( A B \) of length \( 1 \mathrm{~m} \), an unknown resistance \( X \) and a resistance of \( 12 \Omega \) are connected by thick conducting strips, as shown in the figure. A battery and a galvanometer (with a sliding jockey connected to it) are also available. Connections are to be made to measure the unknown resistance \( \mathrm{X} \) using the principle of Wheatstone bridge. Answer the following question.
After appropriate connections are made, it is found that no deflection takes place in the galvanometer when the sliding jockey touches the wire at a distance of \( 60 \mathrm{~cm} \) from A. Obtain the value of the resistance \( \mathrm{X} \).
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