JEE Mains · Physics · STD 11- Mechanical properties of solids
- JEE Mains 2022
- Hard
- MCQ
In an experiment to determine the Young's modulus, steel wires of five different lengths \((1,2,3,4\) and \(5\,m )\) but of same cross section \(\left(2\,mm ^{2}\right)\) were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young's modulus of given steel wires is \(x \times 10^{11}\,Nm ^{-2}\), then the value of \(x\) is
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Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
Slope \(=\frac{\Delta l / W }{ L }=\frac{\Delta l / L }{ w }=\frac{1}{ YA }\)
\(Y =\frac{1}{\text { (slope) A }}\)
\(Y =\frac{1}{2 \times 10^{-6}\left(0.25 \times 10^{-5}\right)}\)
\(Y =2 \times 10^{11} N / m ^{2}\)
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