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  • Young's moduli of the material of wires A and B are in the ratio of 1:4, while its area of cross sections are in the ratio of 1:3. If the same amount of load is applied to both the wires, the a

Young's moduli of the material of wires A and B are in the ratio of 1:4, while its area of cross sections are in the ratio of 1:3. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will be in the ratio of
[Assume length of wires A and B are same]

Option: 1

12:1


Option: 2

1:36


Option: 3

1:12


Option: 4

36:1


Answers (1)

best_answer

\begin{aligned} & \frac{\mathrm{W}}{\mathrm{A}}=\mathrm{Y} \cdot \frac{\Delta \ell_1}{\ell} \\ & \Delta \mathrm{l}_1=\frac{\mathrm{W} \ell}{\mathrm{AY}} \\ & \frac{\Delta \ell_1}{\Delta \ell_2}=\frac{12}{1} \end{aligned}            \begin{aligned} & \frac{\mathrm{W}}{3 \mathrm{~A}}=4 \mathrm{Y} \cdot \frac{\Delta \ell_2}{\ell} \\ & \Delta \mathrm{l}_2=\frac{\mathrm{W} \ell}{12 \mathrm{AY}} \end{aligned}

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sudhir.kumar

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