The Bulk Modulus for an incompressible liquid is
Medium
Download our app for free and get started
We know that the bulk modulus is,
$\mathrm{B}=-\frac{\mathrm{dpV}}{\Delta \mathrm{V}}$
Here $\mathrm{p}=$ Pressure (stress)
$-\frac{\Delta \mathrm{V}}{\mathrm{V}}=\text { Volume strain }$
But liquid is incompressible, so
${\Delta \mathrm{V}=0} $
Hence, ${\mathrm{B}=-\frac{\mathrm{pV}}{0}=\infty}$
or $\mathrm{B}=\infty$ (infinity)
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
- 1View SolutionA graph is shown between stress and strain for a metal. The part in which Hooke's law holds good is
- 2Longitudinal stress of $1\,kg/m{m^2}$ is applied on a wire. The percentage increase in length is $(Y = {10^{11}}\,N/{m^2})$View Solution
- 3A uniform plank of Young’s modulus $Y $ is moved over a smooth horizontal surface by a constant horizontal force $F.$ The area of cross section of the plank is $A.$ The compressive strain on the plank in the direction of the force isView Solution
- 4A spherical ball contracts in volume by $0.02 \%$, when subjected to a normal uniform pressure of $50$ atmosphere. The Bulk modulus of its material is ............... $N / m ^2$View Solution
- 5Match List-$I$ with List-$II$ :View Solution
List-$I$ List-$II$ $(A)$ A force thatrestores anelastic body of unit area to its original state $(I)$ Bulkmodulus $(B)$ Two equal andopposite forcesparallel toopposite faces $(II)$Young'smodulus $(C)$Forcesperpendiculareverywhere tothe surface perunit areasameeverywhere $(III)$ Stress $(D)$Two equal andopposite forceperpendicular toopposite faces $(IV)$ Shearmodulus Choose the correct answer from the options given below:
- 6When 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
- 7When a load $W$ is hung from a wire of length $2\ L$ , it just breaks. Now this wire is completely melted and a new wire of length $L$ is formed. If the load $W$ is hung from this new wireView Solution
- 8Match the type of elasticity involvedView Solution
$(i)$ Suspension fibre of galvanometer $(a)$ Linear $(ii)$ Bending of beam $(b)$ Shear $(iii)$ cutting piece of paper $(c)$ Bulk $(iv)$ mechanical waves in fluid $(d)$ Shear - 9A 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 increase in energy of the wire will be ....... $joule$View Solution
- 10The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by $0.02 \%$ is______ $\mathrm{m}$.View Solution
(Take density of sea water $=10^3 \mathrm{kgm}^{-3}$, Bulk modulus of rubber $=9 \times 10^8 \mathrm{Nm}^{-2}$, and $\mathrm{g}=10 \mathrm{~ms}^{-2}$ )