AP EAMCET · PHYSICS · Mechanical Properties of Solids
The speed of a transverse wave travelling in a wire of length \(50 \mathrm{~cm}\), cross-sectional area \(1 \mathrm{~mm}^2\) and mass \(5 \mathrm{~g}\) is \(80 \mathrm{~ms}^{-1}\). The Young's modulus of the material of the wire is \(4 \times 10^{11} \mathrm{Nm}^{-2}\). The extension in the length of the wire is
- A \(8 \times 10^{-5} \mathrm{~m}\)
- B \(8 \times 10^{-4} \mathrm{~m}\)
- C \(16 \times 10^{-5} \mathrm{~m}\)
- D \(16 \times 10^{-4} \mathrm{~m}\)
Answer & Solution
Correct Answer
(A) \(8 \times 10^{-5} \mathrm{~m}\)
Step-by-step Solution
Detailed explanation
Given, length of the wire, \( \begin{aligned} l & =50 \mathrm{~cm} \\ & =5 \times 10^{-2} \mathrm{~m} \end{aligned} \) Cross-sectional area of wire, \( \begin{aligned} A & =1 \mathrm{~mm}^2 \\ & =1 \times 10^{-6} \mathrm{~m}^2 \end{aligned} \) and mass of the wire,…
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