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.
AIIMS 2008, Medium
Download our app for free and get startedPlay store
$Y = \frac{F}{A}/\frac{{\Delta l}}{l} = \frac{{20 \times 1}}{{{{10}^{ - 6}} \times {{10}^{ - 4}}}}$

$ = 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
    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
  • 2
    Young's modulus depends upon
    View Solution
  • 3
    A wire of length $L$ is hanging from a fixed support. The length changes to $L _{1}$ and $L _{2}$ when masses $1 \,kg$ and $2 \,kg$ are suspended respectively from its free end. Then the value of $L$ is equal to ..................
    View Solution
  • 4
    If the tension on a wire is removed at once, then
    View Solution
  • 5
    The length of a wire is $1.0\, m$ and the area of cross-section is $1.0 \times {10^{ - 2}}\,c{m^2}$. If the work done for increase in length by $0.2\, cm$ is $0.4\, joule$, then Young's modulus of the material of the wire is
    View Solution
  • 6
    As shown in the figure, forces of $10^5\,N$ each are applied in opposite directions, on the upper and lower faces of a cube of side $10\,cm$, shifting the upper face parallel to itself by $0.5\,cm$ . If the side of another cube of the same material is, $20\,cm$ then under similar conditions as above, the displacement will be......... $cm$
    View Solution
  • 7
    A rubber cord catapult has cross-sectional area $25\,m{m^2}$ and initial length of rubber cord is $10\,cm.$ It is stretched to $5\,cm.$ and then released to project a missile of mass $5gm.$ Taking ${Y_{rubber}} = 5 \times {10^8}N/{m^2}$ velocity of projected missile is ......... $ms^{-1}$
    View Solution
  • 8
    The work done per unit volume to stretch the length of area of cross-section $2 \,mm ^2$ by $2 \%$ will be ....... $MJ / m ^3$ $\left[Y=8 \times 10^{10} \,N / m ^2\right]$
    View Solution
  • 9
    In a wire of length $L,$ the increase in its length is $l.$ If the length is reduced to half, the increase in its length will be
    View Solution
  • 10
    The Poisson's ratio of a material is $0.5$. If a force is applied to a wire of this material, there is a decrease in the cross-sectional area by $4 \%$. The percentage increase in the length is ........ $\%$
    View Solution