Find the increase in pressure required to decrease the volume of … - Vidyadip

Question

Find the increase in pressure required to decrease the volume of a water sample by $0.01\%$. Bulk modulus of water $= 2.1 \times 10^9N/m^2.$

✓

Answer

Given:
Bulk modulus of water $B = 2.1 \times 10^9Nm^{-2}$
In order to decrease the volume $(V)$ of a water sample by $0.01\%$, let the increase in pressure be $P.$
$\frac{\text{v}\times0.1}{100}=\triangle\text{V}$
$\Rightarrow\frac{\triangle\text{V}}{\text{V}}=10^{-4}$
From B $=\frac{\text{P}\text{V}}{\triangle\text{V}},$ We have:
$\Rightarrow\text{P}= \text{B}\Big(\frac{\triangle\text{V}}{\text{V}}\Big)$
$=2.1\times10^{9}\times10^{-4}$
$=2.1\times10^{5}\text{N}/\text{m}^2$
Hence, the requred increase in pressure is $2.1 \times 10^5Nm^{-2}.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "1 Marks Question" from Some Mechanical Properties of Matter→Some Mechanical Properties of Matter — all question types→Physics STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

The coercive force for a certain permanent magnet is $4.0 \times 10^4A/m$. Thia magnet is placed inside a long solenoid of $40$ turns $/cm$ and a current is passed in the solenoid to demagnetise it completely. Find the current.

Show that moment of inertia of a solid body of any shape changes with temperature as $\text{I}=\text{I}_0(1+2\alpha\theta),$ where $\text{I}_0$ is the moment of inertia at $0^\circ C$ and a is the coefficient of linear expansion of the solid.

Write the relation between object distance ( $u$ ), image distance $(v)$ and focal length $(f)$ for a concave mirror.

Define mobility of a charge carrier. What is its relation with relaxation time?

Name the physical quantity whose unit is newton metre tesla ${ }^{-1}$ and whether is it scalar or vector?

The free electrons in a conducting wire are in constant thermal motion. If such a wire, carrying no current, is placed in a magnetic field, is there a magnetic force on each free electron? On the wire?

A convex lens with a refractive index is placed in that medium whose refractive index is equal to the refractive index of the lens. What will be the focal length of the lens in this medium?

Drift velocity is inversely proportional to what? and it does not depend on what?

A scooter weighing 150kg together with its rider moving at 36km/ hr is to take a turn of radius 30m. What horizontal force on the scooter is needed to make the turn possible?

Magnetic scalar potential is defined as$\text{U}(\overrightarrow{\text{r}_2})-\text{U}(\overrightarrow{\text{r}_1})=-\int\limits^{\vec{\text{r}}_2}_{\vec{\text{r}_1}} \vec{\text{B}}.\text{d}\vec{\text{l}}.$
Apply this equation to a closed curve enclosing a long atraicht wire. The RHS of the above equation is then $-{\mu}_\text{o} \text{ i}$ by Ampere's law. We see that $\text{U}(\vec{\text{r}_2})\neq\text{U}(\vec{\text{r}_1})$ even when $\vec{\text{r}_2}=\vec{\text{r}_1}.$Can we have a magnetic acalar potential in this case?