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Physics · Class 11 Science

Ch 7Properties of Matter — Class 11 Physics, concept-first.

One of the oldest surviving dams in the world is the Kallanai, built across the river Kaveri near Tiruchirappalli to hold back and direct floodwater for irrigation.

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Chapter contents

The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.

7.1

Introduction

One of the oldest surviving dams in the world is the Kallanai, built across the river Kaveri near Tiruchirappalli to hold back and direct floodwater for irrigation.

7.2

Solids

Everything in the universe is made of atoms, yet the same substance can exist as a solid, a liquid, or a gas -- water as ice, liquid water, or steam is the standard example, even though all three form…

7.2.1

Elastic behaviour of materials

In a solid, interatomic forces of attraction and repulsion hold every pair of neighbouring atoms at a particular equilibrium separation -- their mean positions.

7.2.2

Stress and strain

STRESS. When a deforming force is applied to a body, the shape or size (or both) can change because the relative positions of its constituent atoms or molecules shift.

7.2.3

Hooke's law and its experimental verification

HOOKE'S LAW states that, for a small deformation within the elastic limit, the strain produced in a body is directly proportional to the stress that produces it -- equivalently, as long as the elastic…

7.2.4

Moduli of elasticity

Within the elastic limit, since stress is proportional to strain, the ratio is a constant for a given material -- this constant is called the MODULUS OF ELASTICITY of that material.

7.2.5

Poisson's ratio

When a wire is stretched, it does not simply get longer -- it also gets thinner: its length increases (an elongation, or longitudinal strain) while its diameter simultaneously decreases (a contraction…

7.2.6

Elastic energy

When a wire is stretched, work is done against the internal restoring force, and this work is stored in the wire as ELASTIC POTENTIAL ENERGY (also simply called elastic energy).

7.2.7

Applications of elasticity

The elastic behaviour of materials, and specifically how much a beam bends under a given load, is a major structural-engineering concern for the stability of buildings and bridges.

7.3

Fluids

Fluids -- liquids and gases together -- are found everywhere: roughly two-thirds of the Earth's surface is covered by water, and the atmosphere of air envelops the whole planet.

7.3.1

Introduction

PRESSURE OF A FLUID. A fluid is a substance that begins to flow when even a very small external force is applied to it -- it offers very little resistance to deformation.

7.3.2

Pressure due to fluid column at rest

The pressure a mountaineer feels DECREASE with altitude and the pressure a diver feels INCREASE with depth are both examples of HYDROSTATIC PRESSURE -- pressure due to a static fluid.

7.3.3

Pascal's law and its applications

PASCAL'S LAW, discovered by the French scientist Blaise Pascal, states that a change in pressure applied at any point of an enclosed liquid at rest is transmitted UNDIMINISHED to every other point of…

7.3.4

Buoyancy

When a body is partially or fully immersed in a fluid, it pushes aside (displaces) a certain volume of that fluid, and the displaced fluid in turn exerts an UPWARD force on the body, opposing its weig…

7.4

Viscosity

Sections 7.2 and 7.3 dealt with matter that is essentially static (a deformed solid returning to rest, a fluid sitting still in a container). This section turns to fluids that are actually MOVING.

7.4.1

Introduction

Consider a liquid flowing steadily over a fixed horizontal layer, with the flow speed increasing uniformly the further a layer is from that fixed bottom layer.

7.4.2

Streamlined flow

The flow of a fluid can happen in several distinct ways -- steady (streamlined) or turbulent, compressible or incompressible, viscous or non-viscous.

7.4.3

Turbulent flow

When the speed of a moving fluid exceeds its critical speed , the motion becomes TURBULENT. In turbulent flow, the velocity of the fluid at a given location changes both in magnitude AND in direction…

7.4.4

Reynold's number

Osborne Reynolds (1842-1912) worked out how to predict, in advance, whether the flow of a fluid through a cylindrical pipe will be streamlined or turbulent, by combining the relevant physical quantiti…

7.4.5

Terminal velocity

Consider a small metallic sphere released from rest and falling freely through a large column of a highly viscous fluid.

7.4.6

Stoke's law and its applications

Stoke performed experiments on the motion of small spherical bodies through different fluids and found that the viscous force F acting on a spherical body of radius r depends directly on (i) the radiu…

7.4.7

Poiseuille's equation

Poiseuille analysed the steady flow of a liquid through a narrow capillary tube and worked out an expression for the volume of liquid flowing through it per second, under these conditions: the flow th…

7.4.8

Applications of viscosity

Viscosity governs a wide range of practical, everyday choices and technologies. (1) A lubricant used for heavy machinery parts must have a HIGH coefficient of viscosity, and choosing the right lubrica…

7.5

Surface tension

Liquids, unlike solids, have no fixed shape of their own, but they DO have a fixed volume -- so whenever a liquid is poured into a container, it always presents a FREE SURFACE (the boundary between th…

7.5.1

Intermolecular forces

The molecules of a liquid, unlike those of a solid, are not rigidly fixed in place -- they are free to move about relative to one another.

7.5.2

Factors affecting the surface tension of a liquid

Surface tension is not a fixed, unchanging property of a liquid -- it varies with several factors. (1) CONTAMINATION: the presence of any contamination or impurity on a liquid's surface affects its su…

7.5.3

Surface energy (S.E.) and surface tension (S.T.)

SURFACE ENERGY. Inside a liquid, a molecule is pulled equally in all directions by its neighbours; but near the surface, a molecule is pulled predominantly downward (only by molecules below it), so th…

7.5.4

Angle of contact

When the free surface of a liquid meets a solid surface, the liquid surface becomes CURVED right at the point of contact, and the angle at which it meets the solid becomes an important physical quanti…

7.5.5

Excess of pressure inside a liquid drop, a soap bubble, and an air bubble

The free surface of a liquid becomes curved on contact with a solid, and the degree of curvature depends on the nature of the liquid-air or liquid-gas interface involved, through the interfacial surfa…

7.5.6

Capillarity

The word 'capilla' means hair in Latin, and a tube with a very fine, hair-thin bore is accordingly called a CAPILLARY TUBE.

7.5.7

Surface Tension by capillary rise method

SURFACE TENSION BY THE CAPILLARY RISE METHOD. The fundamental cause of a liquid rising up a narrow tube is the pressure difference across the curved liquid-air interface (the influence of gravity on t…

7.5.8

Applications of surface tension

Surface tension has a wide range of practical applications and effects. Pouring a small amount of oil onto standing water breaks the water's elastic surface film by lowering its surface tension there;…

7.6

Bernoulli's theorem

This final section of the unit turns to fluids in a genuinely dynamic situation -- a fluid actually flowing through a pipe -- and asks how mass, and then energy, are conserved as it does so.

7.6.1

Equation of continuity

To discuss the mass flow rate of a fluid through a pipe, the flow is first assumed to be STEADY: at any given point in the pipe, the velocity of every fluid particle passing through it remains constan…

7.6.2

Pressure, kinetic and potential energy of liquids

As it flows steadily, a liquid can possess three distinct kinds of energy simultaneously: kinetic energy, potential energy, and pressure energy.

7.6.3

Bernoulli's theorem and its applications

In 1738, the Swiss scientist Daniel Bernoulli worked out a relationship for the flow of a fluid through a pipe of varying cross section, based on the streamlined flow of a liquid and the law of conser…

7.7

Summary and Concept Map

SUMMARY. The interatomic force between the atoms of an element, and the intermolecular force between the molecules of a compound, are the microscopic forces underlying every macroscopic property cover…

7.8

EVALUATION

62 Q

The chapter closes with a graded four-part EVALUATION. Part I is fifteen Multiple Choice Questions, several explicitly drawn from NEET question banks (NEET model 2018, NEET 2014 model), covering stres…

+I. Multiple Choice Questions15 questions
  1. Q1Consider two wires X and Y. The radius of wire X is 3 times the radius of Y. If they are stretched by the same load then the stress on Y is…Free
  2. Q2If a wire is stretched to double of its original length, then the strain in the wire is (a) 1 (b) 2 (c) 3 (d) 4Free
  3. Q3The load – elongation graph of three wires of the same material are shown in figure. Which of the following wire is the thickest? ![A Load (…Free
  4. Q4For a given material, the rigidity modulus is $\frac{1}{3}$rd of Young's modulus. Its Poisson's ratio is (a) 0 (b) 0.25 (c) 0.3 (d) 0.5Preview
  5. Q5A small sphere of radius 2 cm falls from rest in a viscous liquid. Heat is produced due to viscous force. The rate of production of heat whe…Preview
  6. Q6Two wires are made of the same material and have the same volume. The area of cross sections of the first and the second wires are A and 2A…Preview
  7. Q7With an increase in temperature, the viscosity of liquid and gas, respectively will (a) increase and increase (b) increase and decrease (c)…Preview
  8. Q8The Young's modulus for a perfect rigid body is (a) 0 (b) 1 (c) 0.5 (d) infinityPreview
  9. Q9Which of the following is not a scalar? (a) viscosity (b) surface tension (c) pressure (d) stressPreview
  10. Q10If the temperature of the wire is increased, then the Young's modulus will (a) remain the same (b) decrease (c) increase rapidly (d) increas…Preview
  11. Q11Copper of fixed volume V is drawn into a wire of length l. When this wire is subjected to a constant force F, the extension produced in the…Preview
  12. Q12A certain number of spherical drops of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface ten…Preview
  13. Q13The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied? (a)…Preview
  14. Q14The wettability of a surface by a liquid depends primarily on (a) viscosity (b) surface tension (c) density (d) angle of contact between the…Preview
  15. Q15In a horizontal pipe of non-uniform cross section, water flows with a velocity of 1 m s$^{-1}$ at a point where the diameter of the pipe is…Preview
+II. Short Answer Questions29 questions
  1. Q1Define stress and strain.Free
  2. Q2State Hooke's law of elasticity.Free
  3. Q3Define Poisson's ratio.Free
  4. Q4Explain elasticity using intermolecular forces.Preview
  5. Q5Which one of these is more elastic, steel or rubber? Why?Preview
  6. Q6A spring balance shows wrong readings after using for a long time. Why?Preview
  7. Q7What is the effect of temperature on elasticity?Preview
  8. Q8Write down the expression for the elastic potential energy of a stretched wire.Preview
  9. Q9State Pascal's law in fluids.Preview
  10. Q10State Archimedes principle.Preview
  11. Q11What do you mean by upthrust or buoyancy?Preview
  12. Q12State the law of floatation.Preview
  13. Q13Define coefficient of viscosity of a liquid.Preview
  14. Q14Distinguish between streamlined flow and turbulent flow.Preview
  15. Q15What is Reynold's number? Give its significance.Preview
  16. Q16Define terminal velocity.Preview
  17. Q17Write down the expression for the Stoke's force and explain the symbols involved in it.Preview
  18. Q18State Bernoulli's theorem.Preview
  19. Q19What are the energies possessed by a liquid? Write down their equations.Preview
  20. Q20Two streamlines cannot cross each other. Why?Preview
  21. Q21Define surface tension of a liquid. Mention its S.I unit and dimension.Preview
  22. Q22How is surface tension related to surface energy?Preview
  23. Q23Define angle of contact for a given pair of solid and liquid.Preview
  24. Q24Distinguish between cohesive and adhesive forces.Preview
  25. Q25What are the factors affecting the surface tension of a liquid?Preview
  26. Q26What happens to the pressure inside a soap bubble when air is blown into it?Preview
  27. Q27What do you mean by capillarity or capillary action?Preview
  28. Q28A drop of oil placed on the surface of water spreads out. But a drop of water placed on oil contracts to a spherical shape. Why?Preview
  29. Q29State the principle and usage of Venturimeter.Preview
+III. Long Answer Questions13 questions
  1. Q1State Hooke's law and verify it with the help of an experiment.Free
  2. Q2Explain the different types of modulus of elasticity.Free
  3. Q3Derive an expression for the elastic energy stored per unit volume of a wire.Free
  4. Q4Derive an equation for the total pressure at a depth 'h' below the liquid surface.Preview
  5. Q5State and prove Pascal's law in fluids.Preview
  6. Q6State and prove Archimedes principle.Preview
  7. Q7Derive the expression for the terminal velocity of a sphere moving in a high viscous fluid using stokes force.Preview
  8. Q8Derive Poiseuille's formula for the volume of a liquid flowing per second through a pipe under streamlined flow.Preview
  9. Q9Obtain an expression for the excess of pressure inside a i) liquid drop ii) liquid bubble iii) air bubble.Preview
  10. Q10What is capillarity? Obtain an expression for the surface tension of a liquid by capillary rise method.Preview
  11. Q11Obtain an equation of continuity for a flow of fluid on the basis of conservation of mass.Preview
  12. Q12State and prove Bernoulli's theorem for a flow of incompressible, non-viscous, and streamlined flow of fluid.Preview
  13. Q13Describe the construction and working of venturimeter and obtain an equation for the volume of liquid flowing per second through a wider ent…Preview
+IV. Exercises5 questions
  1. Q1A capillary of diameter d mm is dipped in water such that the water rises to a height of 30 mm. If the radius of the capillary is made $\fra…Free
  2. Q2A cylinder of length 1.5 m and diameter 4 cm is fixed at one end. A tangential force of $4\times10^{5}$ N is applied at the other end. If th…Free
  3. Q3A spherical soap bubble A of radius 2 cm is formed inside another bubble B of radius 4 cm. Show that the radius of a single soap bubble whic…Preview
  4. Q4A block of Ag of mass x kg hanging from a string is immersed in a liquid of relative density 0.72. If the relative density of Ag is 10 and t…Preview
  5. Q5The reading of pressure meter attached with a closed pipe is $5\times10^{5}$ N m$^{-2}$. On opening the valve of the pipe, the reading of th…Preview

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 22 questions22 questions
  1. Q1There is a small bubble at one end and bigger bubble at other end of a pipe. Which among the following will happen ? (a) remains in equilibr…Preview
  2. Q2If the temperature of the wire is increased, then the Young's Modulus will : (a) increase rapidly (b) increase by very small amount (c) rema…Preview
  3. Q3The surface tension of a soap solution is 0.03 Nm^-1. How much work is done in producing soap bubble of radius 0.05 m ?Preview
  4. Q4Derive an expression for the terminal velocity of a sphere falling through a viscous liquid.Preview
  5. Q5The wettability of a surface by a liquid depends primarily on: (a) viscosity (b) surface tension (c) density (d) angle of contact between su…Preview
  6. Q6A metal cube of side 0.20 m is subjected to a shearing force of 4000 N. The top surface is displaced through 0.50 cm with respect to the bot…Preview
  7. Q7Write any three applications of Surface Tension.Preview
  8. Q8Which of the following is not a scalar ? (a) Pressure (b) Viscosity (c) Stress (d) Surface tensionPreview
  9. Q9What is Reynold's number ?Preview
  10. Q10Give any three applications of viscosity.Preview
  11. Q11The dimensional formula for coefficient of viscosity is: (a) ML^-2T^-2 (b) MLT^-2 (c) ML^-1T^-2 (d) ML^-1T^-1Preview
  12. Q12If a wire is stretched to double of its original length, then the strain in the wire is : (a) 3 (b) 1 (c) 4 (d) 2Preview
  13. Q13Define Poisson's ratio.Preview
  14. Q14Write the practical applications of capillarity.Preview
  15. Q15(a) Derive the expression for the terminal velocity of a sphere moving in a high viscous fluid using Stoke's law. **OR** (b) Derive Meyer's…Preview
  16. Q16With an increase in temperature, the viscosity of liquid and gas, respectively will: (a) decrease and increase (b) increase and increase (c)…Preview
  17. Q17Which one of these is more elastic, steel or rubber? Why?Preview
  18. Q18What are the factors affecting the surface tension of a liquid?Preview
  19. Q19If the temperature of the wire is increased, then the Young's Modulus will: (a) increase rapidly (b) remain the same (c) increase by a very…Preview
  20. Q20A wire 10 m long has a cross-sectional area 1.25 x 10^-4 m^2. It is subjected to a load of 5 kg. If Young's Modulus of the material is 4 x 1…Preview
  21. Q21The Young's Modulus for a perfect rigid body is: (a) 0.5 (b) zero (c) infinity (d) 1Preview
  22. Q22Distinguish between streamlined flow and turbulent flow.Preview