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# Pressure In A Fluid - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

## Quick Facts

• 15 Questions around this concept.

## Solve by difficulty

Pressure at any point is given by (choose a most appropriate option)

The fractional change in volume of a glass slab, when subjected to a hydraulic pressure of 10 atm.

The average depth of the Indian Ocean is about 300m. The fractional compression, $\frac{\Delta V}{V}$ of water at the bottom of the ocean (given that the bulk modulus of the water=$2.2\times 10^{9}N/m^{2}$ and g=$10m/s^{2}$) will be

A metal sphere connected by a string is dipped in a liquid of density $\rho$ as shown in the figure. The pressure at the bottom of the vessel will be: (P = atmospheric pressure)

A cylinder of mass M and density d1 hanging from a string is lowered into a vessel of cross-sectional area A, containing a liquid of density d2 (d2>d1) until it is fully immersed. The increase in pressure at the bottom of the vessel is:

The liquid inside the container has density $\rho$. Choose the correct options.

For the arrangement shown in the figure, what is the density of oil?

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Water is a clean aquarium form a meniscus, as shown in figure. The difference in height $h$ between the centre and the edge of the meniscus is -

A uniformly tapering vessel is filled with a liquid of density 900 kg m-3 . The force that acts on the base of the vessel due to the liquid (excluding atmospheric force) is (g= 10 m/s2)

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For the arrangement shown in the figure, the force at bottom of the vessel is-

## Concepts Covered - 1

Pressure in a fluid
• Fluids-

Fluids are the substances which began to flow when an external force is applied to it.

Fluids examples are liquids and gases.

Fluids don't have their own shape but they take shape of the containing vessel.

In Hydrostatic branch we study fluids which are at rest with respect to containing vessel.

While in Hydrodynamics we study fluids which are in motion with respect to containing vessel. For example study of flowing water from the tap comes under Hydrodynamics.

Ideal fluids-  Assumption

1. It is Incompressible- Means the density and the specific volume of the fluid do not change during the flow.

2. It is Non-viscous- Layers of fluids does not exert any tangential force (especially friction force)  on each other. And A true "non-viscous" fluid would flow along a solid wall without any slowing down because of friction.

• Pressure-

1. Normal force exerted by liquid/fluid at rest per unit Area of the surface is called pressure of a liquid/fluid.

If F is the normal force acting on a surface area A in a container with liquid.

then pressure exerted by liquid on this surface is $P= \frac{F}{A}$

1. Units of pressure is $N/m^{2}$ or Pascal (S.I) and $dyne/cm^2$  (C.G.S)

2. The dimension of pressure is $ML^{-1}T^{-2}$

3. Atmospheric pressure- The pressure exerted by the atmosphere is called atmospheric pressure. 1 atm is the value of atmospheric pressure on the surface of the earth at sea level.

And $1 \ atm = 1.01 \times 10^5 N/m^2=1.01 \times 10^5 Pascal=1.01 \ bar=760 \ torr$

So Relation between bar and Pascal is $1 bar = 10^{5}Pa$

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Pressure in a fluid

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## Books

### Reference Books

#### Pressure in a fluid

Physics Part II Textbook for Class XI

Page No. : 251

Line : 19