A) \[0.5\,\,Y{{X}^{2}}\]
B) \[0.5\,\,{{Y}^{2}}X\]
C) \[Y{{X}^{2}}\]
D) \[2\,\,Y{{X}^{2}}\]
Correct Answer: A
Solution :
Youngs modulus\[=Y\] Bulk modulus\[~=X\] The potential energy \[=\frac{1}{2}\times \]stress\[\times \]strain \[=\frac{1}{2}\times (Y\times \text{strain})\times \text{strain}\] \[=\frac{1}{2}(Y\times X)\times X=\frac{1}{2}Y{{X}^{2}}=0.5Y{{X}^{2}}\]
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