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?

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

Auniform rod rotating in gravity free region with certain constant angular velocity. The variation of tensile stress with distance $x$ from axis of rotation is best represented by which of the following graphs.

The load versus elongation graphs for four wires of same length and made of the same material are shown in the figure. The thinnest wire is represented by the line

The diagram shows stress v/s strain curve for the materials $A$ and $B$. From the curves we infer that