Physics · Class 11 Science
Ch 9Mechanical Properties of Fluids — Class 11 Physics, concept-first.
SUB TOPIC 1 of WBCHSE's Unit 7 ("Properties of Bulk Matter") ended with a single, sharp observation: a fluid -- a liquid or a gas -- has a shear modulus of rigidity of exactly zero.
Key concepts
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Viscosity and Newton's Law of Viscosity
Viscosity is a fluid's internal friction, resisting relative motion between its own adjacent layers. Newton's law of viscosity states , where , the coefficient of viscosity (SI unit ), is the viscous force per unit area…
Most relevant Q&A
- Two horizontal layers of a liquid, separated by a perpendicular distance of $2.0\ \text{mm}$, are set into steady streamline flow such that…Free
- State Newton's law of viscosity, writing it as an equation, and explain the physical meaning and SI unit of the coefficient of viscosity of…Free
- Two large horizontal plates are held $5.0\ \text{mm}$ apart, with the space between them completely filled by a liquid of coefficient of vis…Free
- What are meant by turbulent flow and stream-line flow? Find the dimension of coefficient of viscosity. Write down Stokes' law and derive it…Preview
In previous exams
How often this chapter’s concepts have been examined — real appearance data, never estimated.
Chapter contents
The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.
Introduction
SUB TOPIC 1 of WBCHSE's Unit 7 ("Properties of Bulk Matter") ended with a single, sharp observation: a fluid -- a liquid or a gas -- has a shear modulus of rigidity of exactly zero.
Streamline and Turbulent Flow; Critical Velocity
When a fluid flows, the individual particles making up the fluid can move past one another in one of two fundamentally different ways, and telling these two ways apart is the first step in understandi…
Viscosity and Newton's Law of Viscosity
Viscosity is the property of a fluid by which it offers internal resistance -- essentially, a kind of internal friction -- to the relative motion between its own adjacent layers.
Stokes' Law and Terminal Velocity
Stokes' law. When a small solid sphere moves at a constant, sufficiently slow speed through a viscous fluid that is otherwise at rest (or, equivalently, when a viscous fluid flows steadily past a stat…
Reynolds' Number
Whether a given flow turns out to be streamline or turbulent depends, as seen in Section 9.2, on the flow speed -- but it also depends on the fluid's density and viscosity, and on the size of the tube…
Bernoulli's Theorem
Bernoulli's theorem is, at its heart, simply the principle of conservation of energy applied to a moving, ideal fluid.
Applications of Bernoulli's Theorem
Bernoulli's theorem, together with the equation of continuity (which follows from conservation of mass for an incompressible fluid, and states that for any two cross-sections of a pipe of varying area…
Surface Energy and Surface Tension
A molecule deep inside the bulk of a liquid is surrounded, in every direction, by other liquid molecules within the short range over which intermolecular attractive forces act (this range is called th…
Angle of Contact
When a liquid surface meets a solid surface -- for instance, where the curved surface of water inside a glass tube meets the tube's inner glass wall -- the liquid surface meets the solid at a definite…
Excess of Pressure -- Drops and Bubbles
Because a liquid's free surface behaves like a stretched elastic membrane, always trying to contract to the smallest possible area, a curved liquid surface always has a slightly higher pressure on its…
Capillary Rise and Fall
Capillarity is the name given to the rise (or, in some cases, the fall) of a liquid inside a sufficiently narrow tube, called a capillary tube, when the tube is dipped vertically into a wide, open res…
Summary
This chapter developed the mechanics of fluids -- both their motion and their surface behaviour -- along exactly the topics WBCHSE's Unit 7 SUB TOPIC 2 lists:
Sample & Board Papers
Sample papers and previous-year board questions for this subject.
+−Show 4 questionsHide questions4 questions
- Q1The dimension of surface tension is (a) MLT⁻² (b) MLT⁻¹ (c) MT⁻² (d) ML²T⁻²Preview
- Q2The speed of a ball of radius 2 cm in a viscous liquid medium is 20 cms⁻¹. The speed of a ball of radius 1 cm in the same liquid will be (a)…Preview
- Q3What is critical velocity (Vc)? Show that Vc = Nη/ρr, the terms have usual meanings. **OR** A spring having spring constant K is cut into tw…Preview
- Q4What are meant by turbulent flow and stream-line flow? Find the dimension of coefficient of viscosity. Write down Stokes' law and derive it…Preview
More questions
22 Q+−Show 7 questionsHide questions7 questions
- Example 1Two horizontal layers of a liquid, separated by a perpendicular distance of $2.0\ \text{mm}$, are set into steady streamline flow such that…Free
- Example 2A small steel ball bearing of radius $1.0\ \text{mm}$ (density $7800\ \text{kg/m}^3$) is released from rest at the top of a tall column of g…Free
- Example 3Water (density $1000\ \text{kg/m}^3$, coefficient of viscosity $1.0\times10^{-3}\ \text{Pa·s}$) flows through a horizontal pipe of diameter…Free
- Example 4Water flows steadily through a horizontal pipe that narrows from a wider section of cross-sectional area $4.0\times10^{-3}\ \text{m}^2$ to a…Preview
- Example 5A soap bubble of radius $1.0\ \text{cm}$ is blown in air using a soap solution of surface tension $2.5\times10^{-2}\ \text{N/m}$. Calculate…Preview
- Example 6A small spherical drop of mercury of radius $2.0\ \text{mm}$ is formed in air. Taking the surface tension of mercury as $0.465\ \text{N/m}$,…Preview
- Example 7A clean glass capillary tube of internal radius $0.20\ \text{mm}$ is dipped vertically into a beaker of water (surface tension $0.072\ \text…Preview
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- Q8Distinguish between streamline (laminar) flow and turbulent flow in a moving fluid, and define the critical velocity of a fluid flowing thro…Free
- Q9State Newton's law of viscosity, writing it as an equation, and explain the physical meaning and SI unit of the coefficient of viscosity of…Free
- Q10State Stokes' law for the viscous drag force on a small sphere moving through a viscous fluid. Explain, in terms of the forces acting on the…Free
- Q11Define the Reynolds number for the flow of a fluid through a tube, stating the physical quantities it depends on. Explain how the numerical…Preview
- Q12State Bernoulli's theorem for the steady flow of an ideal (incompressible and non-viscous) fluid, writing it as an equation, and briefly exp…Preview
- Q13Two sheets of paper are held vertically, a small distance apart and parallel to each other, and air is blown steadily through the narrow gap…Preview
- Q14Define surface energy and surface tension of a liquid. Explain the molecular (intermolecular-force) origin of surface tension, and state the…Preview
- Q15Define the angle of contact between a liquid and a solid surface. Explain, in terms of the relative strength of the cohesive force (between…Preview
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- Q16Two large horizontal plates are held $5.0\ \text{mm}$ apart, with the space between them completely filled by a liquid of coefficient of vis…Free
- Q17A small ball bearing of radius $1.5\ \text{mm}$ and density $8000\ \text{kg/m}^3$ is dropped into a tall jar of oil of density $900\ \text{k…Free
- Q18Water (density $1000\ \text{kg/m}^3$, coefficient of viscosity $1.0\times10^{-3}\ \text{Pa·s}$) is made to flow through a pipe of diameter $…Free
- Q19Water flows steadily through a pipe that rises from a lower point, where its speed is $2.0\ \text{m/s}$ and the pressure is $2.0\times10^{5}…Preview
- Q20$1000$ identical small spherical water droplets, each of radius $1.0\times10^{-4}\ \text{m}$, coalesce (join together) to form a single larg…Preview
- Q21A capillary tube of internal radius $0.50\ \text{mm}$ is dipped vertically into a trough of mercury. Taking the surface tension of mercury a…Preview
- Q22Water is observed to rise to a height of $6.0\ \text{cm}$ in a clean capillary tube dipped vertically in water, the angle of contact being t…Preview