Properties of Matter 1 Question 16
16. In plotting stress versus strain curves for two materials $P$ and $Q$, a student by mistake puts strain on the $Y$-axis and stress on the $X$-axis as shown in the figure. Then the correct statements is/are
(2015 Adv.)
(a) $P$ has more tensile strength than $Q$
(b) $P$ is more ductile than $Q$
(c) $P$ is more brittle than $Q$
(d) The Young’s modulus of $P$ is more than that of $Q$
Fill in the Blanks
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Answer:
Correct Answer: 16. $\frac{M g}{3 A K}$
Solution:
- $Y=\frac{\text { stress }}{\text { strain }}$
or $Y \propto \frac{1}{\text { strain }}$
(for same stress say $\sigma$ )
$(\text { strain }) _Q<(\text { strain }) _P$
$\Rightarrow Y _Q>Y _P$
So, $P$ is more ductile than $Q$. Further, from the given figure we can also see that breaking stress of $P$ is more than $Q$. So, it has more tensile strength.
