If in case A,the elongation in a wire of leng | vedclass

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(C) The formula for elongation $\Delta L$ in a wire of length $L$,cross-sectional area $A$,and Young's modulus $Y$ under a tension $T$ is given by $\D

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$l$

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(C) The formula for elongation $\Delta L$ in a wire of length $L$,cross-sectional area $A$,and Young's modulus $Y$ under a tension $T$ is given by $\Delta L = \frac{TL}{AY}$.In case $A$,the wire is suspended with a weight $W$ at one end. The tension in the wire is $T_A = W$.In case $B$,the wire passes over a pulley with a weight $W$ on each side. The tension in the wire is $T_B = W$.Since the tension $T$ is the same in both cases $(T_A = T_B = W)$ and the wire parameters $(L, A, Y)$ are identical,the elongation in both cases must be the same.Therefore,the elongation in case $B$ is also $l$.

If in case $A$,the elongation in a wire of length $L$ is $l$,then for the same wire,the elongation in case $B$ will be:

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