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Physics · MECHANICAL PROPERTIES OF SOLIDS
हिन्दीA structural steel rod has a radius of \( 10\text{ mm} \) and a length of \( 1.0\text{ m} \). A tensile force of \( 100\text{ kN} \) stretches it along its length. Given Young's modulus of structural steel is \( 2.0 \times 10^{11}\text{ N m}^{-2} \), the elastic strain developed in the rod (taking \( \pi = 3.1416 \)) is:
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Correct answer · Option B
\( 1.59 \times 10^{-3} \)
Explanation
\( \text{Stress} = \frac{F}{\pi r^2} = \frac{10^5}{\pi \times (10^{-2})^2} = 3.183 \times 10^8\text{ N m}^{-2} \). Strain \( \varepsilon = \frac{\text{Stress}}{Y} = \frac{3.183 \times 10^8}{2.0 \times 10^{11}} = 1.59 \times 10^{-3} \).
