A uniform cubical block is subjected to volumetric compression, which decreases its each side by $2 \%$. The Bulk strain produced in it is ............
Medium
Download our app for free and get started
(c)
Volume $=(\text { side })^3$
$v=(a)^3$
So $\frac{\Delta V}{V}=\frac{3 \Delta a}{a}$ $\left\{\operatorname{given} \frac{\Delta a}{a}=-2 \%\right\}$
$\therefore \frac{\Delta v}{v}=3 \times-2 \quad \text { Side decreases solve used (-)ve sign }$
$=-6 \%$
We know
$\frac{\Delta v}{v}=-\frac{P}{B}$
Substituting value of $\Delta v / v$
$-\frac{6}{100}=-\frac{P}{B}$
So bulk strain produced is $0.06$
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
- 1A metallic rod of length $I$ and cross-sectional area $A$ is made of a material of Young's modulus $Y$. If the rod is elongated by an amount $y$, then the work done is proportional to ......View Solution
- 2A force of ${10^3}$ newton stretches the length of a hanging wire by $1$ millimetre. The force required to stretch a wire of same material and length but having four times the diameter by $1$ millimetre isView Solution
- 3When a block of mass $M$ is suspended by a long wire of length $L$, the length of the wire become $(L+l) .$ The elastic potential energy stoped in the extended wire is :View Solution
- 4Young's modules of material of a wire of length ' $L$ ' and cross-sectional area $A$ is $Y$. If the length of the wire is doubled and cross-sectional area is halved then Young's $modules$ will be :View Solution
- 5View SolutionThe load versus elongation graphs for four wires of same length and made of the same material are shown in the figure. The thinnest wire is represented by the line
- 6A metal wire of length $L_1$ and area of cross section $A$ is attached to a rigid support. Another metal wire of length $L_2$ and of the same cross sectional area is attached to the free end of the first wire. A body of mass $M$ is then suspended from the free end of the second wire. If $Y_1$ and $Y_2$ are the Youngs moduli of the wires respectively, the effective force constant of the system of two wires is :View Solution
- 7If the breaking force for a given wire is $F$, then the breaking force of two wires of same magnitude will beView Solution
- 8A uniform metallic wire is elongated by $0.04\, m$ when subjected to a linear force $F$. The elongation, if its length and diameter is doubled and subjected to the same force will be ..... $cm .$View Solution
- 9A rod of length $L$ at room temperature and uniform area of cross section $A$, is made of a metal having coefficient of linear expansion $\alpha {/^o}C$. It is observed that an external compressive force $F$, is applied on each of its ends, prevents any change in the length of the rod, when it temperature rises by $\Delta \,TK$. Young’s modulus, $Y$, for this metal isView Solution
- 10View SolutionWhen shearing force is applied on a body, then the elastic potential energy is stored in it. On removing the force, this energy