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(C) Young's modulus $(Y)$ is defined as the ratio of stress to strain within the elastic limit,given by the formula $Y = \frac{	ext{Stress}}{	ext{St

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Stress applied and strain developed

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(C) Young's modulus $(Y)$ is defined as the ratio of stress to strain within the elastic limit,given by the formula $Y = \frac{	ext{Stress}}{	ext{Strain}}$.According to Hooke's law,within the elastic limit,stress is directly proportional to strain,i.e.,$	ext{Stress} \propto 	ext{Strain}$.Therefore,a graph plotted with strain on the $X$-axis and stress on the $Y$-axis (or vice versa,depending on the convention) will result in a straight line passing through the origin.Among the given options,the most standard representation for the determination of Young's modulus is the stress-strain graph,where stress is plotted on the $Y$-axis and strain on the $X$-axis.Thus,the quantities on the $X$ and $Y$ axes are strain developed and stress applied,respectively. However,given the options,option $C$ represents the fundamental physical relationship.

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

$A$ student plots a graph from his readings on the determination of Young's modulus of a metal wire but forgets to label the axes. The quantities on $X$ and $Y$ axes may be respectively:

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