In order to increase the resistance of a given wire of uniform cross-section to four times its v...

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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 becomes \( \frac{3}{2} \)
\( P \) times the original length. What is the value of this fraction?
(a) \( \frac{1}{4} \)
(b) \( \frac{1}{8} \)
(c) \( \frac{1}{16} \)
(d) \( \frac{1}{6} \)
\( \mathrm{W} \)
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