When a force is applied on a wire of uniform cross-sectional area $3 \times {10^{ - 6}}\,{m^2}$ and length $4m$, the increase in length is $1\, mm.$ Energy stored in it will be $(Y = 2 \times {10^{11}}\,N/{m^2})$
  • A$6250\, J$
  • B$0.177 \,J$
  • C$0.075\, J$
  • D$0.150 \,J$
Medium
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
    An elevator cable can have a maximum stress of $7 \times 10^7\,N/m^2$ for appropriate safety factors. Its maximum upward acceleration is $1.5\,m/s^2$ . If the cable has to support the total weight of $2000\,kg$ of a loaded elevator, the minimum area of crosssection of the cable should be ....... $cm^2$  $(g = 10\,m/s^2)$
    View Solution
  • 2
    A copper solid cube of $60\,\, mm$ side is subjected to a pressure of $2.5 \times 10^7\, Pa$. If the bulk modulus of copper is $1.25 \times 10^{11}\, N/m^2$, the change in the volume of cube is
    View Solution
  • 3
    A $100\,m$ long wire having cross-sectional area $6.25 \times 10^{-4}\,m ^2$ and Young's modulus is $10^{10}\,Nm ^{-2}$ is subjected to a load of $250\,N$, then the elongation in the wire will be :
    View Solution
  • 4
    When the temperature of a gas is $20^{\circ} C$ and pressure is changed from $P_1=1.01 \times 10^5 \,Pa$ to $P_2=1.165 \times$ $10^5 \,Pa$, then the volume changes by $10 \%$. The Bulk modulus is .........$\times 10^5 \,Pa$
    View Solution
  • 5
    A stretched rubber has
    View Solution
  • 6
    Modulus of rigidity of a liquid
    View Solution
  • 7
    A steel rod is projecting out of rigid wall. The shearing strength of steel is $345 \,\,MN/m^2.$ The dimensions $AB = 5\,\, cm,\,BC = BE = 2\,\, cm.$ The maximum load that can be put on the face $ABCD$ is .......... $kg$ (neglect bending of the rod)  $(g = 10\,\, m/s^2)$
    View Solution
  • 8
    Four identical hollow cylindrical columns of mild steel support a big structure of mass $50 \times 10^{3} {kg}$, The inner and outer radii of each column are $50\; {cm}$ and $100 \;{cm}$ respectively. Assuming uniform local distribution, calculate the compression strain of each column. [Use $\left.{Y}=2.0 \times 10^{11} \;{Pa}, {g}=9.8\; {m} / {s}^{2}\right]$
    View Solution
  • 9
    $K$ is the force constant of a spring. The work done in increasing its extension from ${l_1}$ to ${l_2}$ will be
    View Solution
  • 10
    The bulk modulus of a spherical object is '$B$'. If it is subjected to uniform pressure '$P$', the fractional decrease in radius is
    View Solution