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(C) The work done in stretching a wire is stored as elastic potential energy.The formula for elastic potential energy $U$ is given by:$U = \frac{1}{2}

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$\frac{Yx^2A}{2L}$

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(C) The work done in stretching a wire is stored as elastic potential energy.The formula for elastic potential energy $U$ is given by:$U = \frac{1}{2} 	imes 	ext{Stress} 	imes 	ext{Strain} 	imes 	ext{Volume}$Since $	ext{Stress} = Y 	imes 	ext{Strain}$,we can write:$W = \frac{1}{2} 	imes Y 	imes (	ext{Strain})^2 	imes 	ext{Volume}$Given that $	ext{Strain} = \frac{x}{L}$ and $	ext{Volume} = A 	imes L$,we substitute these values:$W = \frac{1}{2} 	imes Y 	imes \left(\frac{x}{L}ight)^2 	imes (A 	imes L)$$W = \frac{1}{2} 	imes Y 	imes \frac{x^2}{L^2} 	imes A 	imes L$$W = \frac{Y x^2 A}{2 L}$

$A$ wire of length $L$ and cross-sectional area $A$ is made of a material of Young's modulus $Y$. It is stretched by an amount $x$. The work done is

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