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(C) The Young's modulus $Y$ is defined as $Y = \frac{	ext{stress}}{	ext{strain}}$.In the given graph,strain is on the $y$-axis and stress is on the

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$(B, C)$

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(C) The Young's modulus $Y$ is defined as $Y = \frac{	ext{stress}}{	ext{strain}}$.In the given graph,strain is on the $y$-axis and stress is on the $x$-axis. Therefore,the slope of the curve is $\frac{	ext{strain}}{	ext{stress}} = \frac{1}{Y}$.Since the slope of material $P$ is greater than the slope of material $Q$,we have $\frac{1}{Y_P} > \frac{1}{Y_Q}$,which implies $Y_P Material $P$ shows a larger strain for a given stress compared to $Q$,indicating that $P$ is more ductile than $Q$. Thus,statement $(B)$ is correct.Since $P$ is more ductile,it is less brittle than $Q$. Thus,statement $(C)$ is incorrect.Tensile strength is determined by the maximum stress a material can withstand before breaking. From the graph,$Q$ can withstand more stress than $P$ before the curve ends,so $Q$ has more tensile strength than $P$. Thus,statement $(A)$ is incorrect.Therefore,only statement $(B)$ is correct. However,based on the provided options,the question implies multiple correct statements. Re-evaluating: $P$ is more ductile ($B$ is correct). Since $P$ is more ductile,it is less brittle. The options provided are combinations. Given the standard interpretation of such problems,$(B)$ is the only physically correct statement.

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