Four uniform wires of the same material are stretched by the same force. The dimensions of wire are as given below. The one which has the minimum elongation has
Aradius $3\ mm$, length $3\ m$
Bradius $0.5\ mm$, length $0.5\ m$
Cradins $2\ mm$, length $2\ m$
Dradius $3\ mm$, length $2\ m$
Medium
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Dradius $3\ mm$, length $2\ m$
d $\Delta \ell=\frac{\mathrm{F} \ell}{\pi \mathrm{r}^{2} \mathrm{y}} \Rightarrow \Delta e \frac{\ell}{\mathrm{r}^{2}}$
Only option 'radius $3 \mathrm{mm},$ length $2 \mathrm{m}$ ' is satisfying the above relation.
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