JEE Mains · Physics · STD 11- 8. mechanical properties of solids
The area of cross-section of a railway track is \(0.01\, {m}^{2}\). The temperature variation is \(10^{\circ} {C}\). Coefficient of linear expansion of material of track is \(10^{-5} /{ }^{\circ} {C}\). The energy stored per meter in the track is ...... \({J} / {m} .\) (Young's modulus of material of track is \(10^{11} \,{Nm}^{-2}\) ))
- A \(4\)
- B \(5\)
- C \(6\)
- D \(7\)
Answer & Solution
Correct Answer
(B) \(5\)
Step-by-step Solution
Detailed explanation
Elastic energy \(=\frac{Y}{2}(\text { strain })^{2} \times\) Area \(\times\) length Elastic energy per unit length \(=\frac{Y}{2}(\text { strain })^{2} \times\) Area \(\left(\text { strain }=\frac{\Delta \ell}{\ell}=\alpha \Delta T=10^{-5} \times 10=10^{-4}\right)\)…
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