If the Young's modulus of the material is $3$ times its modulus of rigidity, then its volume elasticity will be
Diffcult
Download our app for free and get started
(b) $Y = 2\eta (1 + \sigma )$$\Rightarrow$ $3\eta = 2\eta (1 + \sigma )$ $\Rightarrow$ $\sigma = \frac{3}{2} - 1 = \frac{1}{2}$
Now substituting the value of $\sigma$ in the following expression.
$Y = 3K(1 - 2\sigma )$ $\Rightarrow$ $K = \frac{Y}{{3(1 - 2\sigma )}} = \infty $
Download our appand 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
- 1One end of a uniform rod of mass $m_1$ and crosssectional area $A$ is hung from a ceiling. The other end of the bar is supporting mass $m_2$. The stress at the midpoint isView Solution
- 2A wire is suspended by one end. At the other end a weight equivalent to $20\, N$ force is applied. If the increase in length is $1.0\, mm,$ the ratio of the increase in energy of the wire to the decrease in gravitational potential energy when load moves downwards by $1\, mm,$ will beView Solution
- 3A rod of length $l$ and radius $r$ is joined to a rod of length $l/2$ and radius $r/2$ of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of $\theta°$, the twist angle at the joint will beView Solution
- 4Two 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 isView Solution
- 5View SolutionThe Bulk modulus for an incompressible liquid is
- 6Two wires $‘A’$ and $‘B’$ of the same material have radii in the ratio $2 : 1$ and lengths in the ratio $4 : 1$. The ratio of the normal forces required to produce the same change in the lengths of these two wires isView Solution
- 7View SolutionWhich of the following is the graph showing stress-strain variation for elastomers?
- 8The upper end of a wire of radius $4\, mm$ and length $100\, cm$ is clamped and its other end is twisted through an angle of $60^o$. Then angle of shear is .......... $^o$View Solution
- 9Two wires of the same material have lengths in the ratio 1 : 2 and their radii are in the ratio $1:\sqrt 2 $. If they are stretched by applying equal forces, the increase in their lengths will be in the ratioView Solution
- 10View SolutionThe load versus elongation graph for four wires of same length and the same material is shown in figure. The thinnest wire is represented by line
