Question
A wire is stretched by a certain amount under a load. If the load and radius both are increased to four times, find the stretch caused in the wire.

Answer

$\Delta\text{l}\propto\frac{\text{F}}{\text{A}}$
$\frac{\Delta\text{l}}{\Delta\text{l}}=\frac{4\text{F}}{\text{F}}\times\frac{\text{A}}{16\text{A}}=\frac{1}{4}$

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