The stress-strain graph of two wires $A$ and $B$ is shown in the figure. If $Y_{A}$ and $Y_B$ are Young's moduli of materials of wires $A$ and $B$ respectively, then

The potential energy $U$ between two molecules as a function of the distance $X$ between them is shown in the figure. The two molecules are

The stress vs. strain curve for the elastic tissue of the aorta,the large tube (vessel) carrying blood from the heart,will be: [Note: Stress is proportional to the square of the strain for the elastic tissue of the aorta.]

The stress-strain graphs for materials $A$ and $B$ are shown in the figure. The graphs are drawn to the same scale.
$(a)$ Which of the materials has the greater Young's modulus?
$(b)$ Which of the two is the stronger material?

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 statement$(s)$ is(are):
$(A)$ $P$ 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 $Q$

Assertion $(A)$: Ductile metals are used to prepare thin wires.
Reason $(R)$: In the stress-strain curve of ductile metals,the length between the points representing elastic limit and breaking point is very small.