Question

The extension of a wire by the application of load is 3 mm. The extension in a wire of the same material and length but half the radius by the same load is

Answer 1

Answer:

so

$elongation \: in \: length = \frac{f \times l}{y \times \pi {r}^{2} } \\ elongation \: is \: inversly \: propotional \: to \: {r}^{2} \\ \frac{3 \times {10}^{ - 3} }{x} = \frac{ \frac{ {r}^{2} }{4} }{ {r}^{2} } \\ x = 12mm$

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