JEE Mains · Physics · STD 11- Mechanical properties of solids
- JEE Mains 2023
- Easy
- Numerical
As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is plotted. The curve is a straight line passing through the origin and makes an angle of \(45^{\circ}\) with the load axis. The length of wire is \(62.8\,cm\) and its diameter is \(4\,mm\). The Young's modulus is found to be \(x \times\) \(10^4\,Nm ^{-2}\). The value of \(x\) is
Pick an option to check your answer.
Answer & Solution
Correct Answer
(D) \(5\)
Step-by-step Solution
Detailed explanation
From graph:
\(F =\Delta L\)
\(Y =\frac{ FL }{ A \Delta L }\)
\(Y =\frac{ L }{ A }\)
\(Y =\frac{62.8 \times 10^{-2}}{\pi\left(2 \times 10^{-3}\right)^2}\)
\(Y =5 \times 10^4\,N / m ^2\)
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