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A thin uniform wire AB of length 1 m, an...

A thin uniform wire `AB` of length `1 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 `X`. Using the principle of Wheatstone bridge answer the following questions :
(a) Are there positive and negative terminals on the galvanometer?
(b) Copy the figure in your answer book and show the battery and the galvanometer (with jockey connect at appropriate points.
(c) After appropriate connections are made, it is found that no deflection takes place in th, from galvanometer when the sliding jockey touches the wire at a distance of `60 cm` from `A`. Obtain value of the resistance X.

Text Solution

Verified by Experts

No. There no positive and negative teminals on the galvanometer.
(ii)
Since bridge is balanced,
`(R_(Al))/(R_(lB)) = (0.6 rho)/(0.4 rho) = (12 Omega)/(X)` or `X = 8 Omega` where `rho` is the resistance
per unit length.
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