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JEE Mains · Physics · STD 11- Mechanical properties of solids
  • JEE Mains 2023
  • Medium
  • MCQ

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]

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Answer & Solution

Correct Answer

(B) \(12: 1\)

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Detailed explanation

\(\Delta L =\frac{ FL }{ AY }\)

\(\frac{\Delta L_{ A }}{\Delta L _{ B }}=\frac{ A _{ B }}{ A _{ A }} \frac{Y_{ B }}{Y_{ A }}=12\)

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