In order to increase the resistance of a...

In order to increase the resistance of a given wire of uniform cross section to four times its value, a fraction of its length is stretched uniformly till the full length of the wire becoes `3/2` times the original length. What is the value of this fraction?

`(1)/(4)`

`(1)/(8)`

`(1)/(16)`

`(1)/(6)`

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