If Poission's ratio $\sigma $ is $ - \frac{1}{2}$ for a material, then the material is
Easy
Download our app for free and get startedPlay store
(a) $\frac{{dV}}{V} = (1 + 2\sigma )\frac{{dL}}{{dL}}$

if $\sigma = - \frac{1}{2}$ then $\frac{{dV}}{V} = 0 $ i.e. $K = \infty$

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
    With rise in temperature, the Young's modulus of elasticity
    View Solution
  • 2
    Modulus of rigidity of diamond is
    View Solution
  • 3
    A pendulum consisting of a small sphere of mass $m$ suspended by an inextensible and massless string of length $l$ is made to swing in a vertical plane. If the breaking strength of the string is $2mg$ , then the maximum angular amplitude of the displacement from the vertical can be ....... $^o$
    View Solution
  • 4
    A steel plate of face area $1 \,cm ^2$ and thickness $4 \,cm$ is fixed rigidly at the lower surface. A tangential force $F=10 \,kN$ is applied on the upper surface as shown in the figure. The lateral displacement $x$ of upper surface w.r.t. the lower surface is .............. $m$ (Modulus of rigidity for steel is $8 \times 10^{11} \,N / m ^2$ )
    View Solution
  • 5
    If the length of a wire is made double and radius is halved of its respective values. Then, the Young's modules of the material of the wire will :
    View Solution
  • 6
    Two wires are made of the same material and have the same volume. The first wire has cross-sectional area $A$ and the second wire has cross-sectional area $3A$. If the length of the first wire is increased by $\Delta l$ on applying a force $F$, how much force is needed to stretch the second wire by the same amount?
    View Solution
  • 7
    Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is $1: 4,$ the ratio of their diameters is
    View Solution
  • 8
    When strain is produced in a body within elastic limit, its internal energy
    View Solution
  • 9
    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
  • 10
    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