Question
A wire is replaced by another wire of same length and material but of twice diameter.
  1. What will be the effect on the increase in its length under a given load?
  2. What will be the effect on the maximum load which it can bear?

Answer

  1. Increase in length will be reduced to one fourth as,
$\Delta\text{l}\propto\frac{1}{\text{r}^2}.$
  1. Maximum bearable load becomes four times as breaking force,
$\propto\text{area}(\pi\text{r}^2)$

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