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A uniform wire is cut into 4 segments. Each segment is twice as long as the earlier segment. If the shortest segment has a resistance of 4 ohm, find the

resistance of original wire.


Let the lengths of segments be x,2x,4x and 8x
cutting into two segements doesn't effect resistivity and area of cross section
so for x length the resistance is 4 ohm
so the length of original segment is x+2x+4x+8x=15x
so the resistance is 60 ohm

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