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  • The following four wires of length L and radius r are made of the same material. Which of these will have the largest extension, when the same tension is applied?<strong

The following four wires of length L and radius r are made of the same material. Which of these will have the largest extension, when the same tension is applied?

Option: 1

L= 400 cm, r = 0.8 mm


Option: 2

L= 300 cm, r = 0.6 mm


Option: 3

L= 200 cm, r = 0.4 mm


Option: 4

L= 100 cm, r = 0.2 mm


Answers (1)

best_answer

\begin{aligned}\text Young's \, modulus \, y=\frac{F}{A} \times \frac{L}{\mathrm{l}}\\ y=\frac{F}{\pi r^2} \times \frac{L}{l} \Rightarrow \text { Extension, } \\ l \propto \frac{L}{r^2} \end{aligned}

Option 4, has the largest extension, when the same tension is applied.

Posted by

jitender.kumar

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