In Column-$I$ there are two stress-strain graphs,and in Column-$II$ the nature of the materials is given. Match them appropriately:
Column-$I$Column-$II$
$(a)$ Graph $A$$(i)$ $A$ is ductile
$(b)$ Graph $B$$(ii)$ $A$ is brittle
$(iii)$ $B$ is ductile
$(iv)$ $B$ is brittle

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(A) The stress-strain graph for a material shows its mechanical properties.
$1$. $A$ material is considered ductile if it shows a large plastic deformation range before breaking. Graph $A$ shows a distinct yield point and significant plastic flow,which is characteristic of ductile materials.
$2$. $A$ material is considered brittle if it breaks soon after the elastic limit with very little plastic deformation. Graph $B$ shows a smaller range of plastic deformation compared to $A$,indicating it is more brittle.
Therefore,the correct matching is: $(a-i)$ and $(b-iv)$.

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