A) \[W=\frac{Y{{X}^{2}}}{{{L}^{2}}}\]
B) \[W=\frac{Y{{X}^{2}}}{2{{L}^{2}}}\]
C) \[W=\frac{1}{2}\frac{YA{{X}^{2}}}{{{L}^{2}}}\]
D) \[W=\frac{YA{{X}^{2}}}{L}\]
Correct Answer: C
Solution :
According to Hooke's law \[Y=\frac{Stress}{Strain}=\frac{F/A}{X/L}\] \[F=\left( \frac{YA}{L} \right)X\] \[W=\frac{1}{2}\] (Tension) (Extension) \[W=\frac{1}{2}\,\,\frac{YA\,{{X}^{2}}}{L}\]You need to login to perform this action.
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