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

Question:

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

  1. $O A$

  2. $O C$

  3. $O D$

  4. $O B$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Mechanical Properties of Solids chapter.

JEE Main Previous Year May 7, 2012


Correct Option: 1

Solution:

Related Questions

  • If the potential energy between two molecules is given by $U=-\frac{A}{r^{6}}+\frac{B}{r^{12}}$, then at equilibrium, separation between molecules, and the potential energy are:

    View Solution

  • A uniform cylindrical rod of length $\mathrm{L}$ and radius $r$, is made from a material whose Young’s modulus of Elasticity equals $Y$. When this rod is heated by temperature $T$ and simultaneously subjected to a net longitudinal compressional force $\mathrm{F}$, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to:

    View Solution

  • In an environment, brass and steel wires of length $1 \mathrm{~m}$ each with areas of cross section $1 \mathrm{~mm}^{2}$ are used. The wires are connected in series and one end of the combined wire is connected to a rigid support and other end is subjected to elongation. The stress required to produce a net elongation of $0.2 \mathrm{~mm}$ is,

    [Given, the Young’s modulus for steel and brass are, respectively, $120 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$ and $60 \times 10^{9} \mathrm{~N} / \mathrm{m}^{2}$ ]

    View Solution

  • The elastic limit of brass is $379 \mathrm{MPa}$. What should be the minimum diameter of a brass rod if it is to support a 400 $\mathrm{N}$ load without exceeding its elastic limit?

    View Solution

  • A steel wire having a radius of $2.0 \mathrm{~mm}$, carrying a load of $4 \mathrm{~kg}$, is hanging from a ceiling. Given that $\mathrm{g}=3.1 \mathrm{~A} \mathrm{~ms}^{-2}$, what will be the tensile stress that would be developed in the wire?

    View Solution

  • Young’s moduli of two wires $A$ and $B$ are in the ratio $7: 4$. Wire $\mathrm{A}$ is $2 \mathrm{~m}$ long and has radius $\mathrm{R}$. Wire $\mathrm{B}$ is $1.5 \mathrm{~m}$ long and has radius $2 \mathrm{~mm}$. If the two wires stretch by the same length for a given load, then the value of $R$ is close to :

    View Solution

  • As shown in the figure, forces of $10^{5} \mathrm{~N}$ each are applied in opposite directions, on the upper and lower faces of a cube of side $10 \mathrm{~cm}$, shifting the upper face parallel to itself by $0.5 \mathrm{~cm}$. If the side of another cube of the same material is, $20 \mathrm{~cm}$, then under similar conditions as above, the displacement will be:

    View Solution

  • A thin $1 \mathrm{~m}$ long rod has a radius of $5 \mathrm{~mm}$. A force of $50 \pi \mathrm{kN}$ is applied at one end to determine its Young’s modulus. Assume that the force is exactly known. If the least count in the measurement of all lengths is $0.01 \mathrm{~mm}$, which of the following statements is false ?

    View Solution

  • A uniformly tapering conical wire is made from a material of Young’s modulus Y and has a normal, unextended length

    L. The radii, at the upper and lower ends of this conical wire, have values $R$ and $3 R$, respectively. The upper end of the wire is fixed to a rigid support and a mass $M$ is suspended from its lower end. The equilibrium extended length, of this wire, would equal :

    View Solution

  • The pressure that has to be applied to the ends of a steel wire of length $10 \mathrm{~cm}$ to keep its length constant when its temperature is raised by $100^{\circ} \mathrm{C}$ is:

    (For steel Young’s modulus is $2 \times 10^{11} \mathrm{Nm}^{-2}$ and coefficient of thermal expansion is $1.1 \times 10^{-5} \mathrm{~K}^{-1}$ ) 

    View Solution

Leave a Reply

Your email address will not be published. Required fields are marked *

error: Content is protected !!
Download App