Increase in length of a wire is $1\, mm$ when suspended by a weight. If the same weight is suspended on a wire of double its length and double its radius, the increase in length will be ........ $mm$
A$2 $
B$0.5$
C$4 $
D$0.25$
Medium
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B$0.5$
b (b) $l = \frac{{FL}}{{AY}} \Rightarrow l \propto \frac{L}{{{r^2}}}$ ($F$ and $Y$ are same)
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