WBJEE · Physics · Mechanical Properties of Solids
The length of a metal wire is \(L_{1}\) when the tension is \(T_{1}\) and \(L_{2}\) when the tension is \(T_{2}\) The unstretched length of wire is
- A \(\frac{L_{1}+L_{2}}{2}\)
- B \(\sqrt{L_{1} L_{2}}\)
- C \(\frac{T_{2} L_{1}-T_{1} L_{2}}{T_{2}-T_{1}}\)
- D \(\frac{T_{2} L_{1}+T_{1} L_{2}}{T_{2}+T_{1}}\)
Answer & Solution
Correct Answer
(C) \(\frac{T_{2} L_{1}-T_{1} L_{2}}{T_{2}-T_{1}}\)
Step-by-step Solution
Detailed explanation
Let the initial length of the metal wire is \(L\). The strain at tension \(T_{1}\) is \(\Delta L_{1}=L_{1}-L\) The strain at tension \(T_{2}\) is \(\Delta L_{2}=L_{2}-L\) Suppose, the Young's modulus of the wire is \(Y\), then…
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