A 6 V battery of internal resistance 1 Ω Ω is connected across a uniform wire AB of length 100 cm. The positive terminal of another battery of E.M.F 4 V and internal resistance 1 Ω Ω is joined to the point A as shown. The distance of point P from A is α x 10 cm. Find the value of α, for which there is no current through the galvanometer, (resistance of AB wire is 5 Ω Ω )
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Current flowing through wire 
The potential gradient of the wire 
,
For length AP, equating potential difference,
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