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

The diagram shows a force-extension graph for a rubber band. Consider the following statements

$I.$ It will be easier to compress this rubber than expand it

$II.$ Rubber does not return to its original length after it is stretched

$III.$ The rubber band will get heated if it is stretched and released

Which of these can be deduced from the graph

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 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

The diagram shows the change $x$ in the length of a thin uniform wire caused by the application of stress $F$ at two different temperatures $T_1$ and $T_2$. The variations shown suggest that