JEE Mains · Physics · STD 11- 8. mechanical properties of solids
An aluminium rod with Young's modulus \(Y =7.0\) \(\times 10^{10} N / m ^2\) undergoes elastic strain of \(0.04 \%\). The energy per unit volume stored in the rod in SI unit is:
- A \(5600\)
- B \(8400\)
- C \(2800\)
- D \(11200\)
Answer & Solution
Correct Answer
(A) \(5600\)
Step-by-step Solution
Detailed explanation
\(Y =7 \times 10^{10}\,N / m ^2\) \(\text { Strain }=\frac{0.04}{100}\) \(\text { Energy }=\frac{1}{2}\left(\frac{ YA }{l}\right) \Delta x ^2\) \(\text { Energy }=\frac{1}{2} YA \left(\frac{\Delta x }{l}\right)^2 \times l\)…
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