JEE Mains · Physics · STD 11- 8. mechanical properties of solids
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]
- A \(36: 1\)
- B \(12: 1\)
- C \(1: 36\)
- D \(1: 12\)
Answer & Solution
Correct Answer
(B) \(12: 1\)
Step-by-step Solution
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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