JEE Mains · Physics · STD 11- 8. mechanical properties of solids
The elastic behaviour of material for linear streass and linear strain, is shown in the figure. The energy density for a linear strain of \(5 \times 10^{-4}\) is \(\dots \; kJ / m ^{3}\). Assume that material is elastic upto the linear strain of \(5 \times 10^{-4}\).
- A \(35\)
- B \(-35\)
- C \(25\)
- D \(-25\)
Answer & Solution
Correct Answer
(C) \(25\)
Step-by-step Solution
Detailed explanation
\(y =\frac{\text { stress }}{\text { strain }}=2.0 \times 10^{10}\) Energy density \(=\frac{1}{2} \; stress \; \times \; strain\) \(=\frac{1}{2}(\text { strain })^{2} y =\frac{1}{2}\left(5 \times 10^{-4}\right)^{2} \times 20 \times 10^{10}\)…
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