A thin uniform wire AB of length 1 m, and unknown resistance X and a resistance of 12 are connected by thick conducting strips as shown in fig. A battery and galvanometer are also connected as shown in the figure. It is found that no deflection takes place in the galvanometer when the sliding jockey touches the wire at a distance of 60 cm from A. The unknown resistance X is
The balanced Wheatstone bridge is shown in fig
Now,
The balance on the wire is obtained when jockey is at a distance of 60 cm from A. The resistance RAJ is 0.6 p where p is resistance per unit length of wire. The resistance of JB part of the wire is(1 -0.6) p = 0.4p