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
Medium
Download our app for free and get startedPlay store
If $\mathrm{F}, \mathrm{L}, \mathrm{Y}$ are constant then $\ell \propto(1 / \mathrm{A})$

i.e. $\ell \propto\left(1 / r^{2}\right)$

i.e. for same load, thickest wire (radius is more) will show minimum elongation.

From the graph, minimum elongation is shown by graph $OD.$

Hence OD must be thickness wire's graph.

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    On stretching a wire, the elastic energy stored per unit volume is
    View Solution
  • 2
    The ratio of two specific heats of gas ${C_p}/{C_v}$ for argon is $1.6$ and for hydrogen is $1.4$. Adiabatic elasticity of argon at pressure $P$ is $E.$ Adiabatic elasticity of hydrogen will also be equal to $E$ at the pressure
    View Solution
  • 3
    One end of a metal wire is fixed to a ceiling and a load of $2 \mathrm{~kg}$ hangs from the other end. A similar wire is attached to the bottom of the load and another load of $1 \mathrm{~kg}$ hangs from this lower wire. Then the ratio of longitudinal strain of upper wire to that of the lower wire will be____________.

    [Area of cross section of wire $=0.005 \mathrm{~cm}^2$, $\mathrm{Y}=2 \times 10^{11}\  \mathrm{Nm}^{-2}$ and $\left.\mathrm{g}=10 \mathrm{~ms}^{-2}\right]$

    View Solution
  • 4
    Work done by restoring force in a string within elastic limit is $-10 \,J$. Maximum amount of heat produced in the string is .......... $J$
    View Solution
  • 5
    A metal wire of length $'L'$ is suspended vertically from a rigid support. When a body  of mass $M$ is attached to the lower end of wire, the elongation in wire is $'l'$, consider the following statements 

    $(I)$  the loss of gravitational potential energy of mass $M$ is $Mgl$

    $(II)$ the elastic potential energy stored in the wire is $Mgl$

    $(III)$ the elastic potential energy stored in wire is $\frac{1}{2}\, Mg l$

    $(IV)$ heat produced is $\frac{1}{2}\, Mg l$ 

    Correct statement are :-

    View Solution
  • 6
    The load versus elongation graph for four wires of same length and the same material is shown in figure. The thinnest wire is represented by line
    View Solution
  • 7
    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
    View Solution
  • 8
    Two rods of different materials having coefficients of linear expansion ${\alpha _1},\,{\alpha _2}$ and Young's moduli ${Y_1}$ and ${Y_2}$ respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of rods. If ${\alpha _1}:{\alpha _2} = 2:3$, the thermal stresses developed in the two rods are equally provided ${Y_1}:{Y_2}$ is equal to
    View Solution
  • 9
    The relationship between Young's modulus $Y,$ Bulk modulus $K$ and modulus of rigidity $\eta $ is
    View Solution
  • 10
    One end of a uniform wire of length $L$ and of weight $W$ is attached rigidly to a point in the roof and a weight ${W_1}$ is suspended from its lower end. If $S$ is the area of cross-section of the wire, the stress in the wire at a height $3L/4$ from its lower end is
    View Solution