A) \[\sqrt{2}:1\]
B) \[2:1\]
C) \[1:\sqrt{2}\]
D) \[1:2\]
Correct Answer: A
Solution :
Energy density \[=\frac{1}{2}\,stress\times strain\] Energy density\[=\frac{1}{2}\frac{F}{A}\times \frac{F}{AY}\] \[\frac{{{u}_{1}}}{{{u}_{2}}}={{\left( \frac{{{d}_{2}}}{d{{}_{1}}} \right)}^{4}}\] \[\frac{{{d}_{1}}}{{{d}_{2}}}={{\left( 4 \right)}^{1/4}}\] \[\frac{{{d}_{1}}}{{{d}_{2}}}=\sqrt{2}:1\]
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