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
Medium
Download our app for free and get startedPlay store
(d) Young’s modulus is defined only in elastic region and

$Y = \frac{{{\rm{Stress}}}}{{{\rm{Strain}}}} = \,\frac{{8 \times {{10}^7}}}{{4 \times {{10}^{ - 4}}}} = 2 \times {10^{11}}\,\,N/{m^2}$

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
    The adjacent graph shows the extension $(\Delta l)$ of a wire of length $1\, m$ suspended from the top of a roof at one end and with a load $W$   connected to the other end. If the cross-sectional area of the wire is $10^{-6}\, m^2$, calculate the Young’s modulus of the material of the wire.
    View Solution
  • 2
     A uniform metal rod of  $2\,\,mm^2$ cross section fixed between two walls is heated from $0\,^oC$ to $20\,^oC$ . The coefficient of linear expansion of rod is $12\,\,\times\,\,10^{-6}\,/^oC$ . Its Young's modulus of elasticity is $10^{11}\,\,N/m^2$ . The energy stored per unit volume of rod will be  ....... $J/m^3$
    View Solution
  • 3
    An aluminum rod (Young's modulus $ = 7 \times {10^9}\,N/{m^2})$ has a breaking strain of $0.2\%$. The minimum cross-sectional area of the rod in order to support a load of ${10^4}$Newton's is
    View Solution
  • 4
    Given below are two statements: one is labelled as Assertion$(A)$ and the other is labelled as Reason $(R).$

    $Assertion$ $(A)$ : In Vernier calliper if positive zero error exists, then while taking measurements, the reading taken will be more than the actual reading.

    $Reason$ $(R)$ : The zero error in Vernier Calliper might have happened due to manufacturing defect or due to rough handling.

    In the light of the above statements, choose the correct answer from the options given below :

    View Solution
  • 5
    Mark the wrong statement
    View Solution
  • 6
    Join details of Column$-II$ with given information in Column$-I$ appropriately

    Column $-I$  Column $-II$ 

    $(a)$ Stress is proportional to strain.

    $(i)$ Elastic limit
    $(b)$ When the load of the wire is removed, the body does regain its original dimension. $(ii)$ Limit of pro-portionality
      $(iii)$ Plastic deformation
    View Solution
  • 7
    The mass and length of a wire are $M$ and $L$ respectively. The density of the material of the wire is $d$. On applying the force $F$ on the wire, the increase in length is $l$, then the Young's modulus of the material of the wire will be
    View Solution
  • 8
    When load of $5\,kg$ is hung on a wire then extension of $3\,m$ takes place, then work done will be ....... $joule$
    View Solution
  • 9
    According to Hook’s law force is proportional to
    View Solution
  • 10
    The diameter of a brass rod is 4 mm and Young's modulus of brass is $9 \times {10^{10}}\,N/{m^2}$. The force required to stretch by $0.1\%$ of its length is
    View Solution