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

Match List-$I$ with List-$II$ :

List-$I$	List-$II$
$(A)$ $A$ force that restores an elastic body of unit area to its original state	$(I)$ Bulk modulus
$(B)$ Two equal and opposite forces parallel to opposite faces	$(II)$ Young's modulus
$(C)$ Forces perpendicular everywhere to the surface per unit area same everywhere	$(III)$ Stress
$(D)$ Two equal and opposite force perpendicular to opposite faces	$(IV)$ Shear modulus

Choose the correct answer from the options given below:

The length of a metal wire is $l_1$ when the tension in it is $F_1$ and $l_2$ when the tension is $F_2$. Then,the original length of the wire is

The dimensions of stress are equal to

$A$ steel cable with a radius of $1.5 \; cm$ supports a chairlift at a ski area. If the maximum stress is not to exceed $10^{8} \; N m^{-2}$,what is the maximum load the cable can support?

$A$ steel wire having a radius of $2.0 \, mm$, carrying a load of $4 \, kg$, is hanging from a ceiling. Given that $g = 3.1\pi \, m/s^2$, what will be the tensile stress that would be developed in the wire?