A uniform dense rod with non uniform young's modulus is hanging from ceiling under gravity. If elastic energy density at every point is same then young's modulus with $x$ will change as which of the shown graph

The stress-strain graphs for materials $A$ and $B$ are shown in 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?

The adjacent graph shows the extension $(\Delta l)$ of a wire of length $1\, m$ suspended from the top of a roof at one end and with a load $W$   connected to the other end. If the cross-sectional area of the wire is $10^{-6}\, m^2$, calculate the Young’s modulus of the material of the wire.

Which one of the following is the Young’s modulus $($in $N/m^2)$ for the wire having the stress-strain curve shown in the figure

The load versus elongation graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line

The stress versus strain graphs for wires of two materials $A$ and $B$ are as shown in the figure. If ${Y_A}$ and ${Y_B}$ are the Young ‘s modulii of the materials, then