An increases in pressure required to decreases the $200\,litres$ volume of a liquid by $0.004\%$ in container is ............ $kPa$ (Bulk modulus of the liquid $= 2100\,MPa$ )
Medium
Download our app for free and get started
$B=\frac{\Delta P}{\left(-\frac{\Delta V}{V}\right)}$
$\Rightarrow \Delta \mathrm{P}=\mathrm{B}\left(-\frac{\Delta \mathrm{V}}{\mathrm{V}}\right)$
$\Rightarrow \Delta \mathrm{P}=\left(2100 \times 10^{6}\right)\left(\frac{0.004}{100}\right)$
$\Rightarrow\left(\text { As }-\frac{\Delta \mathrm{V}}{\mathrm{V}} \times 100=0.004\right)$
$\Rightarrow \Delta \mathrm{P}=84 \times 10^{3} \mathrm{P_a}$
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 certain pressure $P$ is applied to $1$ litre of water and $2$ litre of a liquid separately. Water gets compressed to $0.01 \%$ whereas the liquid gets compressed to $0.03 \%$. The ratio of Bulk modulus of water to that of the liquid is $\frac{3}{x}$. The value of $x$ is $...........$View Solution
- 2$K$ is the force constant of a spring. The work done in increasing its extension from ${l_1}$ to ${l_2}$ will beView Solution
- 3Given below are two statements: One is labelled as Assertion $(A)$ and the other is labelled as Reason $(R)$.View Solution
Assertion $(A)$:The stretching of a spring is determined by the shear modulus of the material of the spring.
Reason $(R)$:A coil spring of copper has more tensile strength than a steel spring of same dimensions.
In the light of the above statements, choose the most appropriate answer from the options given below:
- 4What is the percentage increase in length of a wire of diameter $2.5 \,mm$, stretched by a force of $100 \,kg$ wt is .................. $\%$ ( Young's modulus of elasticity of wire $=12.5 \times 10^{11} \,dyne / cm ^2$ )View Solution
- 5View SolutionWhen strain is produced in a body within elastic limit, its internal energy
- 6View SolutionWhy the spring is made up of steel in comparison of copper
- 7Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$View Solution
Assertion $A$: Steel is used in the construction of buildings and bridges.
Reason $R:$ Steel is more elastic and its elastic limit is high.
In the light of above statements, choose the most appropriate answer from the options given below
- 8The pressure applied from all directions on a cube is $P$. How much its temperature should be raised to maintain the original volume $?$ The volume elasticity of the cube is $\beta $ and the coefficient of volume expansion is $\alpha $View Solution
- 9View SolutionThe following four wires are made of same material. Which one will have the largest elongation when subjected to the same tension ?
- 10Copper of fixed volume $V$ is drawn into wire of length $l$. When this wire is subjected to a constant force $F$, the extension produced in the wire is $\Delta l$. Which of the following graphs is a straight line?View Solution