JAC Class 9th Science Solutions Chapter 3 Atoms and Molecules

JAC Board Class 9th Science Solutions Chapter 3 Atoms and Molecules

JAC Class 9th Science Atoms and Molecules InText Questions and Answers

Page 32

Question 1.
In a reaction, 5.3g of sodium carbonate reacted with 6g of ethanoic acid. The products were 2.2g of carbon dioxide, 0.9g water and 8.2g of sodium ethanoate. Show that these observations are in agreement with the law of conservation of mass. Sodium carbonate + Acetic acid → Sodium acetate + Carbon dioxide + Water
Answer:
JAC Class 9th Science Solutions Chapter 3 Atoms and Molecules 1
This shows that during a chemical reaction, mass of reactants mass of products. Hence the given observation are in agreement with the law of conservation of mass.

Question 2.
Hydrogen and oxygen combine in the ratio of 1 : 8 by mass to form water. What mass of oxygen gas would be required to react completely with 3g of hydrogen gas?
Answer:
Ratio of H : O by mass in water is:
Hydrogen : Oxygen → H2O ⇒ 1 : 8 = 3 : x or x = 24g
24 g of oxygen gas would be rcquircd to react completely with 3g of hydrogen.

Question 3.
Which postulate of Dalton’s atomic theory is the result of the Law of consersatlon of mass?
Answer:
Awms are indivisible particles, which can neither be created nor destroyed in a chemical rcacuon.

Question 4.
Which postulate of Dalton’s atomic theory can explain the law of definite proportions?
Answer:
“The relative number and kind of atoms are constant in a given compound”

Page 35

Question 1.
Define the atonik mass unit.
Answer:
A unit of mass used in express atomic and molecular weights, equal to one twelfth (1/12th.) of the mass of an stom of carbon – 12 The relative atomic masses of all elements have been found with respect to an atom of carbon – 12.

Question 2.
Why Is it not possible to see an atom with naked eyes?
Answer:
The size of an atom is very small, Further, atoms of most elements do not exist independently. The radius of an atom is of the order of 10-10m.

Page 39

Question 1.
Write down the formulae of
(a) sodium oxide
(b) aluminium chloride
(c) sodium sulphide
(d) magnesium hydroxide
Answer:
(a) Sodium oxide — Na2O
(b) Aluminium chloride — AlCl3
(c) Sodium sulphide — Na2S
(d) Magnesium hydroxide — Mg(OH)2

Question 2.
Write down the names of compounds represented by the following formulae:
(a) Al2(SO4)3
(b) CaCl2
(c) K2SO4
(d) KNO3
(e) CaCO3
Answer:
(a) Al2(SO4)3 : Aluminium sulphate
(b) CaCl2 : Calcium chloride
(c) K2SO2 : Potassium sulphate
(d) KNO3 : Potassium nitrate
(e) CaCO2 : Calcium carbonate

Question 3.
What Is meant by the term chemical formula?
Answer:
The chemical formula of a compound is the symbolic representation of its composition. It gives the number and kinds of atoms which are chemically united in a given compound. For example, chemical formula of sodium chloride is NaCl.

Question 4.
How many atoms are present in a
(a) H2S molecule and
(b) \(\mathrm{PO}_{4}^{3-}\) ion?
Answer:
(a) H2S → 3 atoms are present: 2 atoms of hydrogen and 1atom of sulphur.
(b) \(\mathrm{PO}_{4}^{3-}\) → 5 atoms are present: 1 atom of phosphorus and 4 atoms of oxygen.

Page 40

Question 1.
Calculate the molecular masses of H2, O2 C12, CO2, CH4, C2H6, C2H4, NH3, CH3OH.
Answer:
The molecular masses are:
H2 → 1 + 1 = 2u
O2 → 16 + 16 = 32u
Cl2 → 35.5 + 35.5 = 71u
CO2 → p 12 + 32 = 44u
CH4 → 12 + 4 = 16u
C2H6 → (12 × 2) + (1 × 6) = 30u
C2H4 → (12 × 2) + (1 × 4) = 28u
NH3 → (1 × 14) + (1 × 3) = 17u
CH3OH → (1 × 12) + (1 × 3) + (1 × 16)(1 × 1) = 32u.

Question 2.
Calculate the formula unit of masses of ZnO, Na2O, K2CO3, given atomic masses of Zn = 65u, Na = 23u, K = 39u, C = 12u and O = 16u.
Answer:
The formula Unit mass of:
(a) ZnO = 65u + 16u = 81u
(b) Na2O = (23u × 2) + 16u = 46u + 16u = 62u
(c) K2CO3 = (39u × 2) + 12u + (16u × 3)
= 78u + 12u + 48u
= 138u.

Page 42

Question 1.
If 1 mole of carbon atoms weigh 12grams, what Is the mass (in grams) of 1 atom of carbon?
Answer:
1 mole of carbon atoms = 6.022 × 1023 atoms
Now, 12/6.022 × 1023 atoms of carbon weigh = 12g
One atom of carbon weighs = \(\frac{12}{6.023}\) × 1023
= 1.99 × 10-23g.

Question 2.
Which has more number of atoms 100 grams of sodium or loo grams of iron (given atomic mass of Na = 23u, Fe 56u)?
Answer:
23 gram atomic unit or 23g sodium (1 mole) = 6.022 × 1023 atoms
100 gram atomic unit or 100g sodium = \(\frac{6.022 \times 10^{23} \times 100}{23}\)
= 2.617 × 1024 atoms Again 56 gram atomic unit or 56 g iron (1 mole) 6.022 × 1023
100 gram atomic unit or 100 g iron = \(\frac{6.022 \times 10^{23} \times 100}{56}\)
= 1. 075 × 1024 atoms Thus, 100 g of sodium has more atoms than 100g of iron

JAC Class 9th Science Atoms and Molecules Textbook Questions and Answers

Question 1.
A 0.24g sample of compound of oxygen and boron was found by analysis to contain 0.096g of boron and 0.144g of oxygen. Calculate the percentage composition of the compound by weight.
Answer:
Percentage (%) of boron in the sample
\(\frac{0.096}{0.24}\) × 100 = 40%
Percentage (%) of oxygen in the sample
\(\frac{0.144}{0.24}\) × 100 = 60%
The sample of compound contains 40% boron and 60% oxygen by weight.

Question 2.
When 3.0g of carbon is burnt in 8.00 g oxygen, 11.00g of carbon dioxide is produced. What mass of carbon dioxide will be formed when 3.00g of carbon Is burnt In 50.00g of oxygen? Which law of chemical combination will govern your answer?
Answer:
When 3.0g of carbon is burnt in 8.00g oxygen, 11.00g carbon dioxide is produced. It means all of carbon and oxygen are used up and carbon and oxygen are combined in the ratio of 3 : 8 to form carbon dioxide. Thus when there is 3g carbon and 50.0g oxygen, then also only 8g oxygen will be used and 11.0g carbon dioxide will be formed. The remaining oxygen is not used up. This indicates law of defmite proportions which Say that in compounds, the combining elements are present in definite proportions by mass.

Question 3.
What are polyatomic ions? Give examples.
Answer:
The ions which contain more than one atom (same kind or may be of different kind) and behave as a single unit are called polyatomic ions. For example:

  1. Ammonium ion NH is a compound ion which is made up of two types of atoms joined together, viz., nitrogen and hydrogen.
  2. Carbonate ion CO is a compound ion which is made up of two types of atoms joined together, viz., carbon and oxygen.

Question 4.
Write the chemical formulae of the following:
(a) Magnesium chloride
(b) Calcium oside
(c) Copper nitrate
(d) Aluminium chloride
(e) Calcium carbonate
Answer:
(a) Magnesium chloride : MgCl
(b) Calcium oxide : CaO
(e) Copper nitrate : Cu(NO3)2
(d) Aluminium chloride : AlCl3
(e) Calcium carbonate: CaCO3

Question 5.
Give the names of the elements present in the following compounds:
(a) Quick lime
(b) Hydrogen bromide
(c) Baking powder
(d) Potassium sulphate
Answer:
(a) Quick lime : Calcium and oxygen
(b) Hydrogen bromide : Hydrogen and bromine
(c) Baking powder : Sodium, hydrogen. carbon and oxygen
(d) Potassium sulphate : potassium. sulphur and oxygen

Question 6.
Calculate the molar mass of the following substances.
(a) Ethvne, C2H2
(b) Sulphur molecule, S8
(c) Phosphorus molecule, P4 (Atomic mass of phosphorus = 31u)
(d) Hydrochloric acid, HCl
(e) Nitric acid, HNO3
Answer:
(a) Ethyne, C2H2 = (2 × 12) + (2 × 1) = 26g
(b) Sulphur molecule, S8 = 8 × 32 = 256g
(c) Phosphorus molecules, P4 = 4 × 31 = 124g
(d) Hydrochloric acid, HCl = (1 × 1) + (1 × 35.5) = 36.5g
(e) Nitric acid, HNO3 = (1 × 1) + (1 × 14) + (3 × 16) = 63g

Question 7.
What is the muss of
(a) 1 mole of nitrogen atoms?
(b) 4 moles of aluminium atoms (atomic mass of aluminium 27u)?
(c) 10 moles of sodium sulphite (Na2SO3)?
Answer:
(a) 1 mole of nitrogen atoms 14u = 14g
(b) 4 moles of aluminium atoms = 4 × 27 = 108u = 108g
(c) 1 mole of sodium sulphite = (2 × 23) + (1 × 32) + (3 × 16) = 126u = 126g
10 moles of sodium sulphite = 10 × 126 = 1260g.

Question 8.
Convert Into mole.
(a) 12g of oxygen gas
(b) 20g of water
(c) 22 g of carbon dioxide
Answer:
(a) Given mass of oxygen gas = 12g
Molar mass of oxygen gas (O2) = 32g
Mole of oxygen gas = \(\frac{12}{32}\)
= 0.375 mole.

(b) Given mass of water = 20g
Molar mass of water(H2O) (2 × 1) + 16= 18g
Mole of water = \(\frac{20}{18}\)= 1.11 mole.

(c) Given mass of carbon dioxide = 22g
Molar mass of carbon dioxide (CO2) (1 × 12) + (2 × 16) = 12 + 32 = 44g
Mole of carbon dioxide = \(\frac{22}{44}\)
= 0.5 mole.

Question 9.
What is the mass of
(a) 0.2 mole of oxygen atoms?
(b) 0.5 mole of water molecules?
Answer:
(a) Mole of oxygen atoms = 0.2 mole
Molar mass of oxygen atoms = 16g
Mass of oxygen atoms 16 × 0.2 = 3.2g.

(b) Mole of water molecule 0.5 mole
Molar mass of water molecules = (2 × 1) + 16 = 18g
Mass of H2O = 18 × 0.5 = 9g.

Question 10.
Calculate the number of molecules of sulphur (S8) present In 16 g of solid sulphur.
Answer:
Molar mass of sulphur (S8) = 256 g = 6.022 × 1023 molecules
Given mass of sulphur = 16g
Molecules of sulphur = \(\frac{16 \times 6.022 \times 10^{23}}{256}\)
\(=\frac{96.35 \times 10^{23}}{256}\) = 0.376 × 1023 molecules.

Question 11.
Calculate the number of aluminium ions present In 0.051 g of aluminium oxide.
Hint: The mass of an ion is the same as that of an atom of the saine element Atomic mass of Al = 27u
Answer:
1 mole of aluminium oxide, Al2O3 = (2 × 27) + (3 × 16) = 102u = 102g
102 g of Al2O3 has = 6.022 × 1023 Al2O3 molecules
0.051 g of Al2O3has = \( \frac{6.022 \times 10^{23} \times 0.051}{102}\)
= 3.01 × 1020 molecules
1 molecule of Al2O3 gives = 2 Al3+ ions
Hence, 0.051g Al2O3 gives = 2 × 3.01 × 1020 Al3+ ions
= 6.022 × 1020 aluminium ions.

JAC Class 9 Science Solutions

JAC Class 9th Science Solutions Chapter 2 Is Matter Around Us Pure

JAC Board Class 9th Science Solutions Chapter 2 Is Matter Around Us Pure

JAC Class 9th Science Is Matter Around Us Pure InText Questions and Answers

Page 15

Question 1.
What is meant by a pure substance?
Answer:
A pure substance consists of a single type of particles and it cannot be separated into other kinds of matter by any separation process.

Question 2.
List the points of difference between ho-mogeneous and heterogeneous mixtures.
Answer:
Differences between homogeneous and heterogeneous mixtures:

Homogeneous mixture Heterogeneous mixture
It has no visible boundary or boundaries of separation between its constituents. It has visible boundary boundaries of separation between its constituents.
It has a uniform composition. It does not have a uniform composition.
They form solutions. They form suspensions colloids.
The particle size is very small. The particle size is larger.
For example, sugar + water → sugar solution. For example, sugar + sand.


Page 18

Question 1.
Differentiate between homogeneous and heterogeneous mixtures with examples.
Answer:
See answer 2 above.

JAC Class 9th Science Solutions Chapter 2 Is Matter Around Us Pure

Question 2.
How are sol, solution and suspension different from each other?
Answer:
Comparison among properties of true solution, colloidal solution and suspension:

Property True solution Colloidal solution Suspension
Appearance Hetero geneous and transparent. Hetero geneous and translucent. Hetero geneous and opaque.
Particle size lnm (10-9 m) lnm – 1000 nm 1000 lnm (10-6m)
Visibility Particles are not visible even with a powerful microscope. Particles can be seen with a high power microscope. Particles can be seen with naked eyes.
Stability Stable Stable Unstable
Diffusion Diffuse rapidly Diffuse slowly Do not diffuse
Filterability Passes through filter paper, e.g., sodium chloride dissolved in water. Passes through filter paper, e.g., blood. Can be separated by filter paper, e.g., mud water.

Question 3.
To make a saturated solution, 36g of sodium chloride is dissolved in lOOg of water at 293K. Find its concentration at this temperature.
Answer:
Mass of solute (sodium chloride) = 36g
Mass of solvent (water) = 100 g
Mass of solution = Mass of solute + Mass of solvent = 36g + 100g =136g
\(\frac{ Mass of solute}{Mass of solution}\) × 100 ⇒ \(\frac{36 \times 100}{136}\)
= 26.47%

Page 24

Question 1.
How will you separate a mixture containing kerosene and petrol (difference in their boiling points is more than 25°C), which are miscible with each other?
Answer:
Set up the apparatus as shown in the figure. Take the given mixture in a distillation flask. Heat the mixture slowly, keeping a close watch at the thermometer. At a certain point, temperature becomes constant. Petrol vaporises first as it has lower boiling point. It condenses in the condenser and is collected from the condenser outlet. Stop heating when the temperature further starts rising. Kerosene is left behind in the distillation flask.
JAC Class 9th Science Solutions Chapter 2 Is Matter Around Us Pure 1

Question 2.
Name the technique to separate:
(a) Butter from curd
(b) Salt from sea – water
(c) Camphor from salt
Answer:
(a) Butter from curd – Centrifugation
(b)Salt from sea – water – Evaporation
(c) Camphor from salt – Subiimation

Question 3.
What type of mixtures are separated by the technique of crystallisation?
Answer:
Crystallisation technique is used to purify a solid with some impurities in it. For example, purification of salt obtained from sea – water.

Page 25

Question 1.
Classify the following as chemical or physical changes: cutting of trees, melting of butter in a pan, rusting of almirah, boiling of water to form steam, passing of electric current, through water and the water breaking down into hydrogen and oxygen gases. making of fruit salad with raw fruits, dissolving common salt in water, burning of paper and wood
Answer:

  1. Physical change:
    • Cutting of trees
    • Melting of butter in a pan
    • Boiling of water to form steam
    • Dissolving common salt in water
    • Making a fruit salad with raw fruits
  2. Chemical change:
    • Rusting of almirah
    • Passing of electric current through water and the water breaking down into hydrogen and oxygen gases
    • Burning of paper and wood

Question 2.
Try segregating the things around you as pure substances or mixtures.
Answer:

  1. Pure substances: Water, sugar, gold, copper wire, salt, ice, etc.
  2. Mixtures: Steel, plastic, paper, talc, milk, air, ink, soda water, lemonade, bread, etc.

JAC Class 9th Science Is Matter Around Us Pure Textbook Questions and Answers

Question 1.
Which separation techniques will you apply for the separation of the following?
(a) Sodium chloride from its solution in water.
(b) Ammonium chloride from a mixture containing sodium chloride and ammonium chloride.
(c) Small pieces of metal in the engine oil of a car.
(d) Different pigments from an extract of flower petals.
(e) Butter from curd.
(f) Oil from water.
(g) Tea leaves from tea.
(h) Iron pins from sand.
(i) Wheat grains from husk.
(j) Fine mud particles suspended in water.
Answer:
(a) Crystallisation/Evaporation

(b) Sublimation

(c) Filtration

(d) Chromatography

(e) Centrifugation

(f) Separating funnel

(g) Filtration

(h) Magnetic separation

(i) Winnowing

(j) Decantation/Sedimentation

Question 2.
Write the steps you would use for making tea Use the words solution, solvent, solute, dissolve, soluble, insoluble, filtrate and residue.
Answer:
Take a cup of water in a kettle as solvent and heat it. When the solvent boils, add sugar in it which is the solute. Heat it till entire sugar dissolves. Water and sugar form a solution. Then, add some tea leaves in this solution. Boil the contents, add milk which is also soluble in this mixture, and boil again. Filter the tea with the help of a strainer. The tea collected in cup is the filtrate and the tea leaves collected in the strainer is residue.

JAC Class 9th Science Solutions Chapter 2 Is Matter Around Us Pure

Question 3.
Pragya tested the solubility of three different substances at different temperatures and collected the data as given below (results are given in the following table, as grams of substance dissolved in 100 grams of water to form a saturated solution).

Temperature in K Solubility
Substance Dissolved 283 293 313 333 353
Potassium nitrate 21 32 62 106 167
Sodium chloride 36 36 36 37 37
Potassium chloride 35 35 40 46 54
Ammonium chloride 24 37 41 55 66

(a) What mass of potassium nitrate would be needed to produce a saturated solution of potassium nitrate in 50 grams of water at 313 K?
(b) Pragya makes a saturated solution of potassium chloride in water at 353K and leaves the solution to cool at room temperature. What would she observe as the solution cools? Explain.
(c) Find the solubility of each salt at 293K. Which salt has the highest solubility at this temperature?
(d) What is the effect of change of temperature on the solubility of a salt?
Answer:
(a) Mass of potassium nitrate (KNO3) needed to produce a saturated solution of KNO3 in 100 grams of
water at 313 K = 62 g
Mass of KNO3 needed in 50 g of
water at 313 K = \(\frac{62.0 \times 50}{100}\)
= 31.0g

(b) As solution cools, potassium chloride gets crystallised. This is because the solubility of a solid decreases with decrease in temperature.

(c) At 293K, solubility of KNO3 is 32, NaCl is 36, KCL is 35 andNH4Cl is 37. Ammonium chloride has the highest solubility at 293 K temperature.

(d) As the temperature increases, solubility increases and vice – versa.

Question 4.
Explain the following giving examples.
(a) saturated solution
(b) pure substance
(c) colloid
(d) suspension
Answer:
(a) Saturated solution: A solution in which no more solute can be dissolved at a given temperature is called a saturated solution.

(b) Pure substance: A pure substance consists of a single type of particles. It always has the same colour, taste or texture at a given temperature and pressure. For example, pure water is always colourless, odourless and tasteless.

(c) Colloid: A colloid is a solution in which the size of solute particles is bigger than those of a true solution. These particles cannot be seen with naked eyes as they are stable, e.g., ink, blood, smoke, milk, fog and cloud.

(d) Suspension: Suspension is a heterogeneous mixture. The particles of a suspension are greater than 1000 nm and are visible to naked eyes, e.g., chalk powder in water, paints, etc.

JAC Class 9th Science Solutions Chapter 2 Is Matter Around Us Pure

Question 5.
Classify each of the following as a homogeneous or a heterogeneous mixture: soda water, wood, air, soil, vinegar, filtered tea.
Answer:

  1. Homogeneous mixtures: Soda water, vinegar, filtered tea.
  2. Heterogeneous mixtures: Wood, soil, air.

Question 6.
How would you confirm that a colourless liquid given to you is pure water?
Answer:
By finding the boiling point of the given colourless liquid. If the given colourless liquid boils at exactly 373K at 1 atmosphere pressure, then it is pure water. This is because pure substances have fixed melting and boiling points.

Question 7.
Which of the following materials fall in the category of a ‘pure substance’?
(a) Ice
(b) Milk
(c) Iron
(d) Hydrochloric acid
(e) Calcium oxide
(f) Mercury
(g) Brick
(h) Wood
(i) Air
Answer:
Pure substances are: ice (a compound), iron (an element), hydrochloric acid (a compound), calcium oxide (a compound) and mercury (an element).

Question 8.
Identify the solutions among the following mixtures.
(a) Soil
(b) Sea water
(c) Air
(d) Coal
(e) Soda water
Answer:
Solutions are sea water, soda water and air.

Question 9.
Which of the following will show “Tyndall effect”?
(a) Salt solution
(b) Milk
(c) Copper sulphate solution
(d) Starch solution
Answer:
Milk and starch solution are colloids and will show Tyndall effect.

Question 10.
Classify the following into elements, compounds and mixtures.
Sodium, Soil, Sugar solution, Silver, Calcium carbonate, Tin, Silicon, Coal, Air, Soap, Methane, Carbon dioxide, Blood
Answer:

  • Elements: Sodium, Silver, Tin, Silicon
  • Compounds: Calcium carbonate, Meth – ane, Carbon dioxide
  • Mixtures: Sugar solution, Soil, Coal, Air, Blood, Soap

Question 11.
Which of the following are chemical changes?
(a) Growth of a plant
(b) Rusting of iron
(c) Mixing of iron filings and sand
(d) Cooking of food
(e) Digestion of food
(f) Freezing of water
(g) Burning of a candle
Answer:
Chemical changes are growth of a plant, rusting of iron, cooking of food, digestion of food, burning of a candle.

JAC Class 9 Science Solutions

JAC Class 9th Science Solutions Chapter 1 Matter in Our Surroundingss

JAC Board Class 9th Science Solutions Chapter 1 Matter in Our Surroundings

JAC Class 9th Science Matter in Our Surroundings InText Questions and Answers

Page 3

Question 1.
Which of the following are matter? Chair, air, love, smell, hate, almonds, thought, cold, cold – drink, smell of perfume.
Answer:
Chair, air, almonds and cold – drink.

Question 2.
Give reasons for the following observation: The smell of hot sizzling food reaches you several metres away, but to get the smell from cold food you have to go close.
Answer:
Particles of matter are continuously moving. They possess kinetic energy. As the temperature rises, particles move faster. Thus, particles that carry smell of hot sizzling food move faster than the smell of the cold food. Therefore, the smell of hot sizzling food can reach us several metres away, but to get the smell from a cold food we have to go close.

JAC Class 9th Science Solutions Chapter 1 Matter in Our Surroundingss

Question 3.
A diver is able to cut through water in a swimming pool. Which property of matter does this observation show?
Answer:
This shows that the particles of matter have space between them. This space is maximum in gases and minimum in solids. Thus, one cannot cut through a solid easily but a diver is able to cut easily through water.

Question 4.
What are the characteristics of the particles of matter?
Answer:
The characteristics of the particles of matter are as follows:
(a) Particles of matter have intermolecular space.
(b) Particles of matter have intermolecular forces of attraction.
(c) Particles of matter are moving continuously.

Page 6

Question 1.
The mass per unit volume of a substance is called density = \(\frac{ mass}{volume}\) . Arrange the following in order of increasing density – air, exhaust from chimneys, honey, water, chalk, cotton and iron.
Answer:
Air, exhaust from chimneys, cotton, water, honey, chalk, and iron

Question 2.
(a) Tabulate the differences in the characteristics of states of matter,
(b) Comment upon the following: rigidity, compressibility, fluidity filling a gas container, shape, kinetic energy and density.
Answer:
(a) The differences in the characteristics of states of matter are

Characteristics Solid Liquid Gas
Shape Fixed shape No fixed shape No fixed shape
Volume Fixed volume Fixed volume No fixed volume
Rigidity fluidity Are rigid, cannot flow Can flow, not rigid Can flow, not rigid
Intermole – cular force Maximum Less than solids Least
Intermole – cular space Very less More than solids and less than gases Maximum
Compressible Negligible Compressible Highly compressible

(b) Rigidity: It is the property of matter to resist change in its shape, e.g. solids are rigid.

  • Compressibility: It is a property by which matter can be reduced to lower volume on application of force.
  • Fluidity: It is the property of matter to flow.
  • Filling a gas container: Gases completely fill the volume of the container in which they are kept, at any volume while solids and liquids do not.
  • Shape: It indicates definite boundaries.
  • Kinetic energy: It is the energy possessed by the particles of matter due their motion.
  • Density: It is mass per unit volume. Higher density means more mass is confined in a lesser volume.

Question 3.
Give reasons:
(a) A gas fills completely the vessel in which it is kept.
(b) A gas exerts pressure on the walls of the container.
(c) A wooden table should be called a solid.
(d) We can easily move our hand in air but to do the same through a solid block of wood we need a karate expert.
Answer:
(a) The molecules of gases are free to move. Gas molecules have the least amount of attraction between them.Thus, the molecules of gases completely fill the vessel in which they are kept.

(b) The molecules of gas are in continuous motion. They collide with each other and with the walls of container. These collisions of the gas molecules with the walls of the container exert pressure on the walls of the container.

(c) A wooden table has a definite shape and size. Also, it is a non-compressible rigid body. Thus, a wooden table has all the characteristics of a solid.

(d) The molecules of air have least amount of attraction between them. Thus, one can easily move one’s hand in air and push the molecules of air apart. However, the molecules of solid have maximum amount of attraction between them. A greater amount of force is required to move the molecules of a solid apart. Thus, a much greater force is required to move our hand through a solid block of wood.

JAC Class 9th Science Solutions Chapter 1 Matter in Our Surroundingss

Question 4.
Liquids generally have lower density as compared to solids. But you must have observed that ice floats on water. Find out why.
Answer:
Ice is a solid but its density is lower than water due to its structure. The molecules in ice make a cage like structure with lot of vacant spaces. This makes ice float on water.

Page 9

Question 1.
Convert the following temperature to Celsius scale: (a) 300 K (b) 573 K.
Answer:
Celsius scale = Kelvin scale – 273
(a) Celsius scale = 300 – 273 = 27°C
(b) Celsius scale = 573 – 273 = 300°C

Question 2.
What is the physical state of water at:
(a) 250°C
(b) 100°C?
Answer:
The physical state of water at:
(a) 250°C is gaseous
(b) 100°C might be gaseous or liquid. Steam and water coexist at 100°C.

Question 3.
For any substance, why does the temperature remain constant during the change of state?
Answer:
During the change of state, temperature remains constant because heat given to the matter is used up in changing the state of matter. This is called latent heat.

Question 4.
Suggest a method to liquefy atmospheric gases.
Answer:
Atmospheric gases liquefy at very low temperatures. It is not possible to attain such low temperatures. However, atmospheric gases can be liquefied by compressing them. When the atmospheric gases are compressed, the molecules of gases come closer to each other and as we keep on compressing the gases, the molecules keep coming closer and closer to each other. When the pressure on the atmospheric gases becomes large enough, the gases liquefy. Thus, atmospheric gases can be liquefied by compressing them.

Page 10

Question 1.
Why does a desert cooler cool better on a hot dry day?
Answer:
On a hot dry day, there is high temperature and low humidity. Both these factors are responsible for increasing the rate of evaporation. This also means better cooling.

Question 2.
How does the water kept in an earthen pot (matka) become cool during summer?
Answer:
The earthen pot has lots of tiny pores in it. The water oozes out through these pores and gets evaporated at the surface of the pot, by absorbing heat from the water kept in it, thereby causing cooling effect.

Question 3.
Why does our palm feel cold when we put some acetone or petrol or perfume on it?
Answer:
Acetone, petrol and perfume evaporate at low temperatures. When some acetone, petrol, or perfume is dropped on the palm, it takes heat from the palm and evaporates, thereby making the palm cooler.

Question 4.
Why are we able to sip hot tea or milk faster from a saucer rather than a cup?
Answer:
Hot tea or milk in a saucer has larger surface area than in a cup. The rate of evaporation is faster with increased surface area. The cooling of tea or milk in a saucer takes place sooner than in a cup. Hence, we are able to sip hot tea or milk faster from a saucer rather than a cup.

JAC Class 9th Science Solutions Chapter 1 Matter in Our Surroundingss

Question 5.
What type of clothes should we wear in summer?
Answer:
During summer, we should wear cotton clothes because we perspire more to maintain the temperature of our body. Cotton is a good absorber of sweat. It allows the sweat to evaporate faster, thereby giving a cooling effect.

JAC Class 9th Science Matter in Our Surroundings Textbook Questions and Answers

Question 1.
Convert the following temperatures to the Celsius scale, (a) 293 K (b) 470 K
Answer:
Celsius scale = Kelvin scale – 273
a. Celsius scale = 293 – 273 = 20°C
b. Celsius scale = 470 – 273 = 197°C

Question 2.
Convert the following temperatures to the kelvin scale, (a) 25°C (b) 373°C.
Answer:
Kelvin scale = Celsius scale + 273
a. Kelvin scale = 25 + 273 = 298 K
b. Kelvin scale = 373 + 273 = 646 K

Question 3.
Give reason for the following observations.
(a) Naphthalene balls disappear with time without leaving any solid.
(b) We can get the smell of perfume sitting several metres away.
Answer:
(a) Naphthalene balls show the property of sublimation. Evaporation of naphthalene takes place easily and so it disappears during the course of time without leaving any residue,

(b) Perfume contains volatile solvent, i.e., gaseous particles, which have high speed and large space between them and diffuse faster and can reach people sitting at a distance.

Question 4.
Arrange the following substances in increasing order of forces of attraction between the particles water, sugar, oxygen.
Answer:
Oxygen < Water < Sugar

Question 5.
What is the physical state of water at ……… (a) 25°C (b) 0°C (c) 100°C?
Answer:
(a) Liquid
(b) Solid or liquid
(c) Liquid or gas

Question 6.
Give two reasons to justify
(a) Water at room temperature is a liquid.
(b) An iron almirah is a solid at room temperature.
Answer:
(a) Water is liquid at room temperature because:

  1. At room temperature water has a definite volume, but it does not have a definite shape.
  2. At room teperature water can flow easily.

(b) Iron almirah is solid at room temperature because:

  1. At room temperature iron amirah has a definite volume as well as a definite shape.
  2. At room temperature, iron almirah is very rigid.

Question 7.
Why is ice at 273 K more effective in cooling than water at the same temperature?
Answer:
Ice at 273 K will absorb heat energy or latent heat from the medium to overcome the intermolecular forces to become water. Hence, it cools more effectively than water at the same temperature.

Question 8.
What produces more severe burns, boiling water or steam?
Answer:
Steam at 100°C will produce more severe bums as extra heat is hidden in the form of latent heat in steam, whereas the boiling water does not have this hidden heat.

Question 9.
Name the processes A, B, C, D, E and F in the following diagram showing change in state of matter. Increase heat and decrease pressure
JAC Class 9th Science Solutions Chapter 1 Matter in Our Surroundingss 1
Answer:
A → Liquefaction/melting/fusion
B → Vaporisation/evaporation
C → Condensation
D → Solidification
E → Sublimation
F → Sublimation

JAC Class 9 Science Solutions

JAC Class 9 Science Notes Chapter 15 Improvement in Food Resources

JAC Board Class 9th Science Chapter 15 Notes Improvement in Food Resources

→ All living organisms essentially require food to stay alive.

→ Food provides energy to perform various life activities and is required for growth, development and body repair.

→ Sources of Food
a. Food from agriculture: Cereals, pulses, vegetables, fruits, nuts, oilseeds, condiments and spices.
b. Food from animal husbandry: Dairy products like milk, curd, butter, meat, egg, fish and other sea products.

→ Food Revolutions in India
With the increase in population, there is a need for a sufficient increase in food production, so as to meet the food related demands of the growing population. This led to the rise of the following food revolutions in India:
a. Green Revolution: Introduced to increase the food grain production.
b. White Revolution: Introduced to increase the production of milk.
c. Blue Revolution: Introduced to enhance fish production.
d. Yellow Revolution: Introduced to increase oil production.

→ Crop Season: Different crops require different climatic conditions like temperature, moisture and photoperiod, to grow well and complete their life cycle.
Two main crop seasons are:

  1. Kharif Season: Summer season from the month of June to October, i.e., during rainy season. Crops grown in this season require more water. Examples of Kharif season crops are paddy, soyabean, pigeon pea, maize, black gram, green gram and rice.
  2. Rabi Season: Winter season from the month of November to April. Crops grown in this season require less water. Examples of Rabi season crops are wheat, gram, peas, mustard and linseed.

→ Improvement in Crop Yield: Main approaches implemented to enhance the crop yield are as follows:
1. Crop Variety Improvement: This involves the introduction of improved varieties to obtain better food qualities. It is mainly done to achieve the following targets:
a. Higher yield of crops by adopting technologies like cross-breeding and hybridisation.
b. Improved quality of products.
c. Biotic resistance against diseases and insects.
d. Aboitic resistance against drought, salinity, heat, cold, etc.
e. Decreased duration to attain maturity as short duration crops require less costing and more rounds of crop can be grown in a season.
f. Wider adaptability so that the crops growing in different environmental conditions can have high production.
g. Desired agronomic traits like height, branching, leaves, etc., will result in an increased production.

2. Crop Production Improvement: It involves different practices carried out by the farmers to achieve higher standards of crop production.

→ Main practices involved here are stated below:
a. Nutrient Management: Like other organisms, plants also require some elements for their growth. These elements are called nutrients. There are sixteen nutrients which are essential for plants. These nutrients are supplied to the plants by air, water and soil.

These nutrients are divided into following two categories:

  • Macronutrients: The essential elements which are utilised by plants relatively in large quantities are called macronutrients.
  • Micronutrients: The essential elements which are used by plants in small quantities are called micronutrients.
Sources Nutrients
Air Carbon and oxygen (macronutrients)
Water Hydrogen and oxygen (macronutri­ents)
Soil 1. Macronutrients present in soil are nitrogen, phosphorus, potassium, calcium, magnesium, sulphur.
2. Micronutrients present in the soil are iron, manganese, boron, zinc, copper, molybdenum, chlo­rine.

Manure: It is a kind of natural fertiliser formed from the decomposition of animal excreta and plant waste. It mainly contains organic matter and some nutrients in small amount. It helps in improving the soil structure by increasing the water holding capacity of the soil.

→ Types of manures: Based on the kind of biological waste material used, the manures are classified as:

  • Farmyard manure (FYM): It is the decomposed mixture of cattle excreta (dung) and urine along with litter and leftover organic matter such as roughage or fodder. The waste materials are collected daily from the cattle shed and stored in a pit for decomposition by the microorganisms (bacteria, fungi, etc.). FYM contains nitrogen, phosphorous and potassium.
  • Compost: It is a mixture of decomposed organic matter derived from garbage, sewage, vegetable waste, etc. The mixture is decomposed in pits and the process is known as composting.
  • Vermi-compost: The compost which is made by the decomposition of dead parts of plants and animals with the help of redworms is called vermi-compost.
  • Green manure: It is prepared by cultivating fast growing green manure crops like sunhemp, horse gram, guar, cow pea, etc., before sowing of seeds. The fast growing crops are then ploughed back into the soil. Green manure enriches the soil with nitrogen, phosphorus as well as organic matter and provides protection against erosion and leaching.

→ Fertilisers: Fertilisers are chemicals manufactured in factories and are highly rich in nutrients like nitrogen, phosphorus and potassium. They provide large amounts of nutrients and thus ensure better growth of plants. Excessive use of fertilisers for a long period of time can damage soil fertility,

b. Irrigation: The process of supplying water to the crop plants through human efforts by means of canals, wells, reservoirs, tube-wells, etc., is known as irrigation. Most agriculture in India is dependent on timely monsoons and sufficient rainfall spread through most of the growing season. However, the extra water required by crops is met through irrigation.

→ Sources of Irrigation: Some most commonly used sources of irrigation are as follows:

  • Wells: These are of two types:
    Dug wells: Where water is collected from water bearing strata through bullock-operated devices or by pumps. Tube wells: Where water is collected from underground through diesel or electricity run pumps.
  • Canal system: Water from the main river or reservoir is carried by canal into the field which is divided into branch canals having further distributaries to irrigate the fields.
  • River-lift system: In this system, water is directly drawn from the river for supplementing irrigation. It is used where occurs insufficient flows from canals.
  • Rainwater harvesting: Rainwater is collected and recycled into groundwater by digging canals.
  • Watershed management: Small check dams are built up in watershed areas to increase percolation of water into the ground and reduce the flow of rainwater to prevent soil erosion.

c. Cropping pattern: It includes different ways of growing crops so as to get the maximum benefit. These different ways include the following types:

  1. Mixed cropping: It refers to growing of two or more crops simultaneously on the same piece of land.
  2. Intercropping: It refers to growing of two or more crops simultaneously on the same field in a definite row pattern.
  3. Crop rotation: The growing of different crops on a piece of land in a pre-planned succession is known as crop rotation.

→ Animal Husbandry: It is the scientific management of animal livestock including feeding, breeding and disease control.

→ The food requirements of dairy animals are of two types:
a. Maintenance requirement, i.e., the food required to support the animals to live a healthy life.
b. Milk producing requirement, i.e., the type of food required during the lactation period.

→ Artificial insemination: It is the process in which semen is collected from the desired bull and is injected into the vagina of cows during the period of heat.

→ Poultry farming: Poultry includes duck, geese, turkeys, pigeons, etc. However, poultry farming is undertaken basically to raise fowl for egg production and chicken for meat.

→ Fish production: It includes finned fishes, i.e., true fishes and shell fishes such as prawns and molluscs.

→ In composite fish culture a combination of five or six species of fishes are put in culture system. These species of fish are such that they do not compete for food among themselves, i.e., have different food habits.

→ Honey has medicinal value specially in disorders related to digestion, dysentery, vomiting, and ailments of stomach and liver.

→ Apis mellifera, Italian bee, has now been domesticated in India to increase the yield of honey.

→ A colony of honeybees includes queen, drones and workers.

JAC Class 9 Science Notes

JAC Class 9 Science Notes Chapter 14 Natural Resources

JAC Board Class 9th Science Chapter 14 Notes Natural Resources

→ Various material resources derived from the nature for the benefit of mankind are called natural resources.

→ The life supporting zone of earth is called biosphere. It has two components:
a. Biotic components: include all the living things, e.g., forests, animals, humans, etc.
b. Abiotic components: include all the non-living things, e.g., air, water, land, etc.

→ Air: It is an inexhaustible natural resource essential for the sustenance of life. The thick blanket of air that surrounds the earth is called atmosphere. This atmosphere keeps the average temperature of the earth fairly steady.

→ Wind: Moving air is called wind. In coastal areas, the uneven heating of land and water creates winds. During day, the direction of wind is from sea to land (sea breeze) while at night, wind blows from land to sea (land breeze).

JAC Class 9 Science Notes Chapter 14 Natural Resources

→ Rain: When water bodies are heated during the day, water vapour goes into the air. As air rises, it expands and cools forming tiny water droplets? These droplets grow bigger by condensation and fall down as rain.

→ Air pollution: Presence of undesirable and harmful substances in the air causes air pollution. Burning fossil fuels release oxide of nitrogen and sulphur in air which in turn causes acid rain. Smoke and fog in air reduce visibility and form smog.

→ Water: 97% of the water on earth is in oceans and only 3% is fresh water. Of this 3%, only 1 % is available for use and the rest is present in glaciers. Rainwater harvesting improves the availability of fresh water. It is essential for the growth and sustenance of plants and animals.

→ Water pollution: Pollution of water can occur in three ways;
a. by addition of undesirable substances,
b. by removal of desirable substances, and
c. by change in temperature.

→ Chemical fertilizers and pesticides pollute underground water. Chemicals released by industries and water released by dams also pollute water. This also destroys the life- forms in those water bodies.

→ Soil: Soil is formed by various physical, chemical and some biological processes. Sun, water and wind, all contribute to the formation of soil. Some organisms, like lichens, grow on rocks and release chemicals which cause the rock surface to powder down into soil.

→ Soil is composed of different sizes of particles which decide the soil type.

→ Soil pollution: Modem farming practices which use chemical fertilizers and pesticides are harmful for the soil. We should use the soil sustainably and plant trees to prevent soil erosion.

JAC Class 9 Science Notes Chapter 14 Natural Resources

→ Biogeochemical cycles: The cycles in nature which keep replenishing the various natural resources in atmosphere and on the earth’s crust are called biogeochemical cycles.
a. Water-cycle: It is the constant exchange of water among the air, land and sea and between living organisms and their surroundings.
JAC Class 9 Science Notes Chapter 14 Natural Resources 1
b. Nitrogen-cycle: Nitrogen, an important nutrient for all life forms, is circulated through the living and non-living components of the biosphere through various processes like nitrogen fixation (by nitrogen fixing bacteria), ammonification, nitrification and denitrification.
JAC Class 9 Science Notes Chapter 14 Natural Resources 2
c. Carbon-cycle: Carbon is incorporated into life forms by the process of photosynthesis and returns to the atmosphere through respiration, decomposition, combustion, etc.
JAC Class 9 Science Notes Chapter 14 Natural Resources 3
d. Oxygen-cycle: Green plants release oxygen by photosynthesis which is cycled during combustion and respiration.
JAC Class 9 Science Notes Chapter 14 Natural Resources 4

JAC Class 9 Science Notes Chapter 14 Natural Resources

→ Greenhouse effect: Greenhouse gases like CO2, CH4, etc., trap the solar energy and keep the earth warm. This is called greenhouse effect. However, excess of such gases in atmosphere results in heating up of the earth and increase the average temperature across the globe. This is called global warming which has numerous ill-effects like melting of glaciers, floods, draughts, etc.

→ Ozone (O3): Ozone layer is present like a blanket around the earth in the stratosphere. It absorbs the harmful UV radiations from the sun and hence protects us. However, the presence of compounds like CFCs in the atmosphere depletes the amount of ozone. An ozone hole, formed by thinning of ozone, is found over Antarctica. Hence, there is a need to take precautionary measures and lifestyle changes to conserve and procure the nature.

JAC Class 9 Science Notes

JAC Class 9 Science Notes Chapter 13 Why Do We Fall Ill

JAC Board Class 9th Science Chapter 13 Notes Why Do We Fall Ill

→ Health: Health is a state of being free from illness or injury. According to the World Health Organisation (WHO), health is defined as a state of complete physical, mental and social well-being and not merely the absence of disease or infirmity.

→ Conditions essential for Good Health:

  • Balanced and nutritious diet.
  • Personal hygiene.
  • Clean environment and surroundings.
  • Healthy and pollution free air in the surroundings.
  • Regular exercise.
  • Proper rest.
  • Good standard of living and economic status.

→ Disease: When the body is not at ease, i.e., comfortable, it is said to have a disease. In this condition, the functioning or appearance of one or more systems of the body changes. Depending on the duration, diseases are classified as acute or chronic.
a. Acute diseases: The diseases which last for a short duration of time are called acute diseases. Being of short duration, the acute diseases are unable to cause major ill effects on health, for example, common cold, malaria, typhoid, etc.

b. Chronic diseases: The diseases which last for a long duration of time or even for a lifetime are called chronic diseases. As these diseases remain in the body for a long time, their effects on the body are severe, e.g., diabetes, tuberculosis, etc.

JAC Class 9 Science Notes Chapter 13 Why Do We Fall Ill

→ Causes of a disease:
a. Immediate cause: The organisms that enter our body and cause diseases are called immediate causes, for example, virus, bacteria, protozoa, etc.

b. Contributory cause: The secondary factors which cause these organisms to enter our body are called contributory causes, e.g., dirty water, unclear surroundings, contaminated food, improper nourishment, poverty, poor standard of living, etc.

→ Diseases may be infectious or non- infectious
a. Infectious diseases: Diseases, where microbes are the immediate cause, are called infectious diseases. The infectious diseases spread from one person to another.
b. Non-infectious diseases: Some diseases that do not spread in the community but remain internal are called non-infectious diseases. Example: cancer, genetic abnormalities, high blood pressure, etc.

→ Infectious diseases: When a disease causing organism enters our body, it causes infection. It multiplies and grows in the body of the host.

Pathogen Diseases
Bacteria Tuberculosis, tetanus, typhoid, cholera
Virus AIDS, polio, chickenpox, rabies, measles
Fungi Skin diseases, food poisoning
Protozoan Malaria, amoebiasis, kala-azar
Worm Filariasis

→ Infectious diseases spread through:

  • Air: This occurs through the little droplets thrown out by the infected person who sneezes or coughs. Someone standing closeby can breathe in these droplets and the microbes get a chance to start a new infection. Examples: common cold, pneumonia, tuberculosis.
  • Water: This occurs if excreta of someone suffering from an infectious disease, such as cholera, gets mixed with the drinking water used by the people nearby. The cholera causing microbes will enter new hosts through the water they drink and cause disease in them.
  • Contact: Many diseases spread by contact of the infected person with the healthy person. Examples: fungal infection, scabies, etc. AIDS and syphilis spread by sexual contact.
  • Body fluids: Infected body fluids like blood, semen, mother’s milk etc., when in contact, can also cause diseases. Example-AIDS.

JAC Class 9 Science Notes Chapter 13 Why Do We Fall Ill

→ Antibiotics: Antibiotics are the drugs that kill bacteria. They commonly block the biochemical pathways important for bacteria. Many bacteria make a cell wall to protect themselves. The antibiotic penicillin blocks the bacterial processes that build the cell wall. As a result, the growing bacteria become unable to make cell walls and die easily.

→ Inflammation: When an active immune system releases many cells at the affected tissue to kill-off the disease-causing microbes, it is called inflammation. Local effects caused in the body due to inflammation are – swelling, pain, fever and redness.

→ Principles of Treatment: There are two methods for the treatment of diseases:
a. by reducing the symptoms of the diseases.
b. by killing the microbes.

→ Principles of Prevention: These are the ways to prevent the diseases.
a. General ways: The general ways of preventing infections mostly relate to preventing exposure to the diseases. We can prevent exposure to the infectious microbes as follows:

  • For air-borne infections: We can prevent exposure by providing living conditions that are not over crowded.
  • For water-borne infections: We can prevent exposure by using safe drinking water. This can be done by treating the water for any microbial contamination.
  • For vector-borne infections:

We can prevent exposure by providing clean environment which are free from mosquitoes, flies, rats, etc.
Another general way of preventing the diseases is the availability of proper and sufficient food for everyone. This will help the immune system to become healthy and work properly for fighting off the microbes causing the disease.

b. Specific ways: By giving vaccines, i.e., childhood immunisation that is given to the children for preventing infectious diseases. During vaccination, we put dead or weakened pathogens in the body that mimics antigens we want to vaccinate against. This does not actually cause the disease but this would prevent any further exposure to the infecting microbes from turning into actual disease. Vaccinations are available for the following diseases: tetanus, diphtheria, whooping cough, measles, polio, rabies, etc.

JAC Class 9 Science Notes

JAC Class 9 Science Notes Chapter 12 Sound

JAC Board Class 9th Science Chapter 12 Notes Sound

→ Sound: Sound is a form of energy which produces a sensation of hearing in our ears.

→ Production of Sound: Sound is produced due to the vibration of objects. Vibration is a periodic back-and-forth motion of the particles of an elastic body or medium about a central position. It is also called as oscillation.
For example:
a. Strings of a guitar vibrate to produce sound when stretched.
b. When membrane of a table is struck, it vibrates to produce sound.

JAC Class 9 Science Notes Chapter 12 Sound

→ Propagation of Sound
a. The travelling of sound is called propagation of sound. Sound is propagated by the to and fro motion of particles of the medium.

b. When an object vibrates, the particles in the medium vibrate. The particle in contact with the vibrating object is first displaced from its equilibrium position. Each particle disturbs the other particle in contact. Thus, the disturbance is carried from the source to the listener.
JAC Class 9 Science Notes Chapter 12 Sound 1
c. Only the disturbance produced by the vibrating body travels through the medium, but the particles do not move forward themselves. Sound waves cannot travel in vacuum.

→ Medium: The matter or substance through which sound is transmitted is called a medium. It can be solid, liquid or gas. Air is the most common medium for sound propagation.

→ Wave: Wave is a disturbance in which energy is transferred from one point to another without any direct contact between them.
For example: heat, light and sound are considered as waves.

→ Types of Waves
On the basis of direction of propagation, waves are categorised into two types:
a. Longitudinal waves: These are the waves in which the particles of the medium vibrate along the direction of propagation of the wave. For example: sound wave.
b. Transverse waves: In this type of wave, the particles of the medium vibrate in a direction perpendicular to the direction of propagation of the wave. For example: waves produced in a stretched string.

Another type of waves which do not require any medium for propagation are called electromagnetic waves. These waves can travel through vacuum. For example, light waves and X-rays.

→ Compressions and Rarefactions

  1. Compression is the part of wave in which particles of the medium are close to one another forming a region of high pressure and density. Compressions are represented by the upper portion of the curve called crest.
  2. Rarefaction is the part of wave where particles spread out to form a region of low pressure and density. Rarefactions are represented by the lower portion of the curve called trough.

JAC Class 9 Science Notes Chapter 12 Sound 2

→ Wavelength: Distance between two consecutive crests or troughs is called wavelength. Wavelength is represented by λ (lambda) and its SI unit is metre.

→ Frequency: Number of oscillations of a sound wave per unit time is called its frequency. The number of crests or troughs per unit of time will give the frequency. Its SI unit is hertz (Hz).

→ Time period: The time taken to complete one vibration is called time period. It is denoted by ‘T’. Its SI unit is second (s). The frequency of a wave is the reciprocal of the time period.
v = \(\frac{1}{\mathrm{~T}}\); where v is the frequency and T is the time period.

→ Amplitude: The magnitude ofthe maximum disturbance in the medium, on either side of the mean value, is called the amplitude of the wave. It is usually represented by the letter ‘A’. Its unit is metre.

JAC Class 9 Science Notes Chapter 12 Sound

→ Velocity: The distance travelled by a wave in one second is called velocity of the wave or speed of the wave. Its SI unit is metre per second (m s-1).
Velocity = \(\frac{\text { Distance travelled }}{\text { Time taken }}\)
v = \(\frac{\lambda}{\mathrm{T}}\), where λ = wavelength of the wave travelled and T is the time period.
v = λv (As \(\frac{1}{\mathrm{~T}}\) = v, where v is called frequency of the wave)
Thus, Velocity = Wavelength × Frequency
v = λv is called the wave equation.

→ Pitch and Loudness of Sound
a. Pitch: It represents shrillness or flatness of sound. It depends on the frequency of vibration. The higher the frequency of sound wave, the higher will be the pitch of sound and vice-versa.
b. Loudness: It is the measure of the sound energy reaching the ear per second. It depends on the amplitude of the sound wave. It is measured in decibel ‘dB’.

→ Music and Noise
a. Music: It is the sound that is pleasant to hear. For example, sound coming from the musical instruments.
b. Noise: It is the sound that is unpleasant to hear. For example, sound produced by vehicles.

→ Tone and Note
a. Tone: A pure sound of single frequency is called tone.
b. Note: An impure sound produced by a mixture of many frequencies is called a note. For example, a musical note has tones of various frequencies.

→ Audible Frequency: The audible range of human ear is 20 Hz to 20,000 Hz, i.e., human ear can hear only those waves whose frequencies fall between 20 Hz and 20,000 Hz.

→ Infrasonic sound: Sound whose frequency is less than 20 Hz is called infrasonic sound. Ultrasonic sound: Sound whose frequency is more than 20,000 Hz is called ultrasonic sound.

→ Uses of ultrasonic sound: Ultrasonic sound is used to clean objects like electronic components, to detect cracks in metal blocks, in ultrasound scanners for getting images of internal organs of the human body, to break small stones formed in the kidneys into fine grains, etc.

→ Reflection of Sound: Sound reflects off a surface in the same way as light reflects and follows the same rules of reflection. Hard surfaces reflect sound better than the soft ones.

JAC Class 9 Science Notes Chapter 12 Sound

→ Laws of reflection of sound

  • The directions in which the sound is incident and reflected make equal angles with the normal to the reflecting surface at the point of incidence.
  • The incident sound wave, the reflected sound wave and the normal all, lie in the same plane.
  • The reflection of sound has many applications such as stethoscopes, horns, megaphones, designing of concert halls, etc.

→ Echo: In bigger monuments and in large empty halls, you can hear reflections of your sound after you speak something. This effect is known as echo. For hearing a distinct echo, the time interval between the original sound and the reflected one must be at least 0.1 s.

Since the speed of sound in air is 344 m/s, the distance travelled by sound in 0.1 s is 34.4 m. So, to hear an echo clearly and distinctly, the minimum distance of the reflecting surface from the source of sound should be half of this distance, i.e., 17.2 m.

→ Reverberation: The persistence of sound in an auditorium as a result of repeated reflections of sound is called reverberation.

→ Sonar: It is a device which uses ultrasonic waves to measure the distance, direction and speed of underwater objects. The distance of the object can be calculated by knowing the speed of sound in water and the time taken between the transmission and reception of ultrasound.
JAC Class 9 Science Notes Chapter 12 Sound 3

→ Structure of the human ear: The sound waves pass through the ear canal onto a thin membrane called eardrum. The eardrum vibrates and the vibrations are amplified by the three bones of the middle ear called malleus, incus and stapes. Middle ear then transmits the sound waves to the inner ear. The brain then interprets the signals as sound.
JAC Class 9 Science Notes Chapter 12 Sound 4

→ Supersonic speed: When a body moves in air with a speed greater than the speed of sound, it is said to have a supersonic speed.

→ Shock wave: When a supersonic aircraft moves through air, it leaves behind itself a conical region of disturbance which spreads continuously. Such a disturbance is called a shock wave. Shock waves travel at supersonic speeds and carry a huge amount of energy.

JAC Class 9 Science Notes

JAC Class 9 Science Notes Chapter 11 Work and Energy

JAC Board Class 9th Science Chapter 11 Notes Work and Energy

→ Work: When a force acts upon an object to cause a change in its position, work is said to be done. It is expressed as the product of force and displacement in the direction of force.
W = F × s
Here, W = work done on the object
F = force on the object
s = displacement of the object
The SI unit of work is newton metre (N m) or joule (J).
1 joule is defined as the amount of work done by a force of 1 N to cause a displacement of 1 m in the object.

JAC Class 9 Science Notes Chapter 11 Work and Energy

→ Sign Conventions for Work Done
a. When both force and displacement are in the same direction, work done is positive.
W = (F × S)

b. When force acts in a direction opposite to the direction of displacement, the work done is negative.
W = – (F × S)
Angle between force and displacement is 180°.

c. If force and displacement are inclined at an angle less than 180°, the work done is given by:
W = Fs cos θ
where θ is the angle between force and displacement.

d. If force and displacement act at an angle of 90°, the work done is zero.

→ Necessary Conditions for Work to be done
Two conditions are required for the work to be done:
a. A force should act on the object.
b. Object must be displaced.

→ Energy: The capacity of a body to do work is called energy of the body. It is a scalar quantity.

→ Unit of energy: As energy is measured by the amount of work that a body can do, so the unit of energy is same as that of work. The SI unit of energy is joule (J). One joule of energy is the energy required to do 1 J of work.
1 kilojoule = 1 kJ = 1000 J.

→ Forms of energy: The various forms of energy are potential energy, kinetic energy, heat energy, chemical energy, electrical energy and light energy.

→ Kinetic energy: It is the energy possessed by a body by the virtue of its motion. Kinetic energy of an object increases with its speed. Kinetic energy of a body moving with a certain velocity is equal to the work done on it to make it acquire that velocity.

→ Derivation
Let an object of mass’m’, start from rest and attain a uniform velocity ‘v’, after a force ‘F’ is applied on it.
Let, during this period, the object be displaced by a distance ‘s’.
Thus, work done on the object,
W = F × S …(i)

Let the acceleration produced after applying force on the object be ‘a’.
So, using third equation of motion, we have:
v2 – u2 = 2as ……….(ii)

Substituting F and s from equations (ii) and (iii) in equation (i), we get:
W = F × s
W = ma × \(\frac{v^{2}-u^{2}}{2 a}\)
W = \(\frac{1}{2}\)mv2 [As, initial velocity, u = 0]
∴ KE = \(\frac{1}{2}\)mv2
[Work done is stored as kinetic energy]

JAC Class 9 Science Notes Chapter 11 Work and Energy

→ Potential energy: The energy possessed by a body due to its position, shape or configuration is called its potential energy.

→ Gravitational potential energy (PE): The gravitational potential energy (PE) of an object at a point above the ground is defined as the work done in raising it from the ground to that point, against gravity.
JAC Class 9 Science Notes Chapter 11 Work and Energy 1

→ Derivation:
Consider a body of mass m, raised through a height ‘h’ from the ground.
Force required to raise the object = weight of the object = mg.
Object gains energy equal to the work done on it.
Work done on the object against gravity is ‘W’.
W = force × displacement = mg × h
W = mgh
PE = mgh
[Work done is stored as potential energy]

→ Mechanical energy:
The sum of kinetic energy and potential energy is called mechanical energy.

→ Law of Conservation of Energy:
It states that energy can neither be created nor destroyed, but it can be transformed from one form to another. The total energy before and after the transformation always remains constant in an isolated system.
JAC Class 9 Science Notes Chapter 11 Work and Energy 2
Potential energy + Kinetic energy = Constant (Mechanical energy)
Consider a body of mass ‘m’, raised to a height ‘h’ as shown in the figure. At A, its potential energy is maximum and kinetic energy is 0 as it is stationary.

When body falls at B, ‘h’ is decreasing, hence potential energy decreases. Also, v is increasing, therefore, kinetic energy is increasing.
When the body is about to reach the ground level, h = 0 and ‘v’ will be maximum. Hence, kinetic energy > potential energy.
This shows that decrease in potential energy = increase in kinetic energy.
Thus, there is a continuous transformation of gravitational potential energy into kinetic energy.

JAC Class 9 Science Notes Chapter 11 Work and Energy

→ Power: The rate of doing work is called power.
Power = \(\frac{\text { Work }}{\text { Time }}\) or P = \(\frac{\mathrm{W}}{\mathrm{t}}\)
Work, power and energy are all scalar quantities.

→ Watt: It is the SI unit of power. The power of an agent is one watt if it does work at the rate of 1 joule per second.
1 watt = \(\frac{1 \text { joule }}{1 \text { second }}\) or 1 W = 1 J s-1
1 kilowatt = 1000 watt or 1 kW = 1000 W
1 horsepower = 746 watt or 1 H.P. = 746 W

→ Kilowatt-hour (kWh): It is the commercial unit of electric energy. It is defined as the electric energy consumed by an appliance of power 1000 watt in one hour.
1 kWh = 3.6 × 106 J

JAC Class 9 Science Notes

JAC Class 9 Science Notes Chapter 10 Gravitation

JAC Board Class 9th Science Chapter 10 Notes Gravitation

→ Gravitation:
The universal law of gravitation’ states that any two bodies having mass, attract each other with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. The force acts along the line joining the centres of the objects.
JAC Class 9 Science Notes Chapter 10 Gravitation 1
Here, G is universal gravitational constant with a value of 6.673 × 10-11 N m2 kg2. The value of G was found out by Henry Cavendish.

Note:

  • If mass of an object is large, force will be more. If mass of an object is small, force will be less.
  • If distance between two objects is more, force exerted will be less and vice versa.

JAC Class 9 Science Notes Chapter 10 Gravitation

→ Importance of Gravitational Force

  • It binds us to the earth.
  • Moon revolves around the earth due to gravitational force. Planets revolve around the sun due to gravitational force.
  • Tides in oceans are caused due to gravitational force of the moon on earth.

→ Centripetal acceleration of the moon:
If the moon is revolving with speed v in a circular orbit of radius r, then the acceleration acting on it along the radius and towards the centre of its orbit is
ac = \(\frac{\mathrm{v}^{2}}{\mathrm{r}}\)

→ Free fall: The earth attracts objects towards it due to gravitational force. When an object moves under the influence of gravitational force alone, it is said to be in a ‘free fall’.

→ Acceleration due to gravity: The acceleration produced in the bodies due to earth’s gravity is called acceleration due to gravity. Its value on the earth’s surface is 9.8 m/s2.

→ Relations between g and G: If M is the mass of the earth and R is its radius, the acceleration due to gravity at the surface of the earth is given by
g = \(\frac{\mathrm{GM}}{(\mathrm{R})^{2}}\)

The value of g depends on:

  • shape of the earth
  • height above the earth
  • depth inside the earth
  • latitude on the earth

→ Mass of the earth:
It is given by
M = \(\frac{g^{2}}{G}\)

→ Centre of mass:
The centre of mass of a body may be defined as the point at which whole mass of the body may be assumed to be concentrated.

→ Centre of gravity:
The centre of gravity of a body is a point at which the resultant of all the parallel forces due to gravity, experienced by various particles of the body, acts or at which whole weight of the body acts.

→ Equations of motion for freely falling bodies: The three equations of motion are:
v = u + at ……..(ii)
s = ut + \(\frac{1}{2}\) at2 …..(ii)
v2 – u2 = 2as
For free fall, the value of acceleration (a)
= g = 9.8 ms-2

→ Projectile: Any object thrown into space with some initial velocity and which thereafter moves under the influence of gravity alone is called a ‘projectile’. The path of a projectile is a parabola. Its horizontal range is maximum when the angle of projection is 45°.

JAC Class 9 Science Notes Chapter 10 Gravitation

→ Mass: Mass of an object is the measure of its inertia. It is the amount of matter present in it. It remains the same everywhere in the universe.

→ Weight: The force with which an object is attracted towards the centre of the earth is known as the weight of that object. Its SI unit is newton.
W = m × g
where W = weight of the object, m = mass of the object, and g = acceleration due to gravity.
The weight of an object can change from one place to the other and from one planet to the other.

→ Thrust: It is the net force applied in a particular direction. Its SI unit is N.
Pressure = \(\frac{\text { Thrust }}{\text { Area }}\)
The SI unit of density is kg/m3.

→ Relative density: It is the ratio of the density of a substance to the density of water at 4°C.
Density of substance Density of water at 4°C
Since relative density is a pure ratio, it has no units.

→ Pressure in fluids:
All liquids and gases are fluids as they can flow. The pressure exerted by a fluid is transmitted in all directions.

→ Buoyancy:
The upward force exerted by water (fluid) on the body immersed in it is known as upthrust or buoyancy. The magnitude of the buoyant force depends of the density of the fluid.

→ Archimedes’ principle: It states that when a body is immersed fully or partially in a fluid, it experiences an upward force that is equal to the weight of the fluid displaced by it.
It has following applications:

  • Used in designing ships and submarines.
  • In lactometers to find purity of milk.
  • In hydrometers to determine the density of a liquid.

JAC Class 9 Science Notes Chapter 10 Gravitation

→ Density: The density of a substance is its mass per unit volume.
Density = \(\frac{\text { Mass }}{\text { Volume }}\)
The SI unit of density is kg/m3.

→ Relative density: It is the ratio of the density of a substance to the density of water at 4°C.
Density of substance Density of water at 4°C
Since relative density is a pure ratio, it has no units.

JAC Class 9 Science Notes

JAC Class 9 Science Notes Chapter 9 Force and Laws of Motion

JAC Board Class 9th Science Chapter 9 Notes Force and Laws of Motion

→ Force: It is a push or pull on an object that produces acceleration in the body on which it acts. The SI unit of force is ‘newton’. Forces are used in our daily life actions like pushing, lifting, pulling, stretching, twisting and pressing.

→ A force cannot be seen. It can be judged only by the effects which it can produce in several bodies (or objects) around us.

→ Force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton and represented by the symbol ‘F’

JAC Class 9 Science Notes Chapter 9 Force and Laws of Motion

→ Effects of Force:
a. Force can set a stationary body in motion. For example, a football can be set in motion by kicking it, i.e. by applying a force.

b. Force can stop a moving body. For example, by applying brakes, a running cycle or a running vehicle can be stopped.

c. Force can change the direction of a moving object. For example, by applying force, i.e., by moving handle, the direction of a running bicycle can be changed. Similarly by moving steering, the direction of a running vehicle is changed.

d. Force can change the speed of a moving body. For example, by accelerating, the speed of a running vehicle can be increased or by applying breaks, the speed of a running vehicle can be decreased.

e. Force can change the shape and size of an object. For example, by hammering, a block of metal can be turned into a thin sheet. Also by hammering, a stone can be broken down into pieces.

→ Balanced forces: If the resultant force of several forces acting on a body is zero, the forces are said to be ‘balanced forces’.

→ Unbalanced forces: If the resultant force of the several forces acting on a body is not zero, the forces are said to be ‘unbalanced forces’. An object in rest can be moved by applying unbalanced forces. Only an unbalanced force can produce the effects of force.

→ Newton’s First Law of Motion: An object remains in its state of rest or of uniform motion in a straight line unless acted upon by an external unbalanced force.

→ Inertia: The natural tendency of an object to resist a change in its state of rest or of uniform motion is called its inertia.

  • Inertia of rest: It is the tendency of a body to remain in its state of rest.
  • Inertia of motion: It is the tendency of a body to remain in its state of uniform motion in a straight line.
  • Inertia of direction: It is the inability of a body to change, by itself, its direction of motion.

JAC Class 9 Science Notes Chapter 9 Force and Laws of Motion

→ Newton’s Second Law of Motion: The rate of change of momentum of an object is proportional to the applied unbalanced force in the direction of force.
Mathematically,
Force = Mass × Acceleration or,
F ∝ \(\frac{P_{1}-P_{2}}{t}\) or \(\frac{\mathrm{m}(\mathrm{v}-\mathrm{u})}{\mathrm{t}}\) or ma
This law defines the unit of force. One unit force is that force which produces unit acceleration in a body of unit mass.

→ Newton (N): It is the SI unit of force. One Newton is that force which produces an acceleration of lm/s2 in a body of mass 1 kg.

→ 1 newton = 1 kg × 1 m/s2 or 1N = 1 kg m/s2

→ Momentum: The momentum of an object is the product of its mass and velocity and has the same direction as that of the velocity. Its SI unit is kg m/s.
Momentum = Mass × Velocity or p = mv

→ Newton’s Third Law of Motion: To every action, there is an equal and opposite reaction and they act on two different bodies.

→ Law of Conservation of Momentum:
It states that the total momentum of any system of objects remains constant in the absence of any external force. According to the law of conservation of momentum, for collision between two bodies:
Total momentum before collision = Total momentum after collision
m1u1 + m2u2 = m1v1 + m2v2

→ Frictional force: Whenever a body slides or rolls over the surface of another body, a force comes into action which acts in the opposite direction as that of the motion of a body. This opposing force is called ‘friction’.

JAC Class 9 Science Notes

JAC Class 9 Science Notes Chapter 8 Motion

JAC Board Class 9th Science Chapter 8 Notes Motion

→ An object is said to be in motion if it changes its position with the passage of time with respect to a fixed point in the background.

→ Types of Motion
a. Linear motion: A body is in linear motion if it moves in a straight line or path.
b. Circular motion (rotational): A body is in circular motion if it moves around a fixed point. A vertical line passing through the fixed point around which the body moves is known as axis of rotation.
c. Vibratory motion: A body has vibratory motion if it moves to and fro about a fixed point.

→ Concept of a Point object, Rest and Motion a. Point object: An extended object can be treated as a point object when the distance travelled by the object is much greater than its own size.
“A point object is one, which has no linear dimensions but possesses mass”.
b. Rest: A body is said to be at rest when its position does not change with time with respect to the observer.
c. Motion: A body is said to be in motion when its position changes with time with respect to the observer.

JAC Class 9 Science Notes Chapter 8 Motion

→ Vector and Scalar Quantities
a. Vector Quantities: The physical quantities that have magnitude as well as direction are called vector quantities.
Examples: Velocity, acceleration, force, displacement, momentum, weight, electric field, etc.

b. Scalar Quantities: The quantities that have only magnitude and no direction are called scalar quantities.
Examples: Mass, time, distance, speed, work, power, energy, charge, area, volume, density, pressure, potential, temperature, etc.

→ Distance and Displacement
a. Distance: It is the actual path travelled by an object from its initial position to its final position.
b. Displacement: It is the shortest straight line path between initial and final positions.
– If the initial and final points are same, displacement will be zero.
– Distance depends on path but displacement does not.
– Distance is always greater than or equal to displacement. They are equal only in straight line motion in a definite direction.
JAC Class 9 Science Notes Chapter 8 Motion 1

→ Uniform and Non-uniform Motion
a. Uniform motion is a motion in which equal distances are covered in equal time intervals.
b. Non-uniform motion is a motion in which unequal distances are covered in equal intervals of time.

→ Speed and Velocity
a. Speed: Speed is the distance travelled by an object in unit time.
Speed = \(\frac{\text { Distance travelled }}{\text { Time taken }}\)
or v = \(\frac{\mathrm{s}}{\mathrm{t}}\)
[where v = speed; s = distance; and t = time taken]
The SI unit of speed is m/s.

JAC Class 9 Science Notes Chapter 8 Motion

→ Average speed: It is the total distance travelled by the body divided by the total time taken to cover this distance.
Average speed = \(\frac{\text { Total distance travelled }}{\text { Total time taken }}\)

→ Uniform speed: When an object covers equal distances in equal intervals of time, however small these intervals may be, it is said to be in ‘uniform speed’.

→ Non-uniform speed: When an object covers unequal distances in equal intervals of time, it is said to be in ‘non-uniform speed’.

b. Velocity: It is the displacement of the body per unit of time. It is the distance travelled by a body per unit time in a given direction.
Velocity = \(\frac{\text { Displacement }}{\text { Time }}\)
The SI unit of velocity is m/s.

→ Important note: Velocity has both magnitude and direction while speed has only magnitude and no direction. Velocity has same direction as that of displacement.

→ Average velocity: The ratio of total displacement to the total time taken by the body gives its average velocity.
Average velocity = \(\frac{\text { Total displacement }}{\text { Total time taken }}\)

  • Average speed is always greater than average velocity, except in case of straight line motion without U – turn, when both are equal.
  • If body returns to its initial position, average velocity will be zero but average speed-will not be zero.
  • When direction of motion changes, velocity also changes.

→ Instantaneous Speed and Velocity
a. Instantaneous speed: It is the speed of an object at a particular moment (instant) in time.
b. Instantaneous velocity: It is the velocity of an object in motion at a specific point in time.

→ Acceleration: Acceleration is the measure of change of velocity with time. It is also called rate of change of velocity. The SI unit of acceleration is m/s2. It is a vector quantity.
Acceleration = \(\frac{\text { Final velocity – Initial velocity }}{\text { Total time taken }}\)
If the velocity of an object changes from an initial value ‘u’ to the final value ‘v’ in time ‘f, the motion is called accelerated motion. In this case, acceleration ‘a’ is given by
a = \(\frac{\mathrm{v}-\mathrm{u}}{\mathrm{t}}\)

Accelerated motion is a motion in which acceleration is not equal to zero.
a. Acceleration has same direction as that of velocity, if velocity increases.
b. Acceleration has opposite direction as that of velocity, if velocity decreases. In this case, acceleration will be negative. Negative acceleration is also called retardation or deceleration.

JAC Class 9 Science Notes Chapter 8 Motion

→ Uniform and Non-uniform Acceleration
a. When velocity of a body changes by equal amounts in equal time intervals, acceleration is said to be uniform.
b. When velocity of body changes by unequal amounts in equal intervals of time, acceleration is said to be non-uniform.
Examples: A freely falling ball is under uniformly accelerated motion. A car driving by applying brakes frequently, is under non-uniformly accelerated motion.

→ Equations of Uniformly Accelerated Motion:
Relation among velocity, distance, time and acceleration gives the equation of motion. There are three equations of motion for bodies moving with uniform acceleration.
a. First Equation of Motion: v = u + at

b. Second Equation of Motion:
s = ut + \(\frac{1}{2}\) at2

c. Third Equation of Motion:
v2 = u2 + 2as
Here,
v = final velocity of the body
u = initial velocity of the body
a = acceleration of the body
t = time taken by the body
s = distance travelled by the body in time ‘t’

→ Average velocity in Uniformly Accelerated Motion: If a body moves a distance ‘s’ in time ‘t’
Average velocity = \(\frac{\text { Displacement }}{\text { Time }}=\frac{\mathrm{s}}{\mathrm{t}}\)
= u + \(\frac{1}{2}\)at (∵ s = ut + \(\frac{1}{2}\)at2)
or, u + \(\frac{1}{2}\)at = u + \(\frac{1}{2}\)(u – v) (∵ v = u + at)
= u + \(\frac{\mathrm{v}}{2}-\frac{\mathrm{u}}{2}=\frac{\mathrm{u}+\mathrm{v}}{2}\)
Here, ‘a’ is uniform acceleration of body.
Average velocity = \(\frac{u+v}{2}\)

→ Graphical Representation of Motion: To describe the motion of an object, we can use different graphs. Graphical representation of motion shows dependence of one physical quantity, such as distance or velocity, on another quantity such as time.
a. Distance-time Graph: The change in the position of an object with time can be represented on the distance-time graph. The s-t graph for a moving body can be used to calculate the speed of the body.
JAC Class 9 Science Notes Chapter 8 Motion 2

b. Velocity-time Graph
– If a body moves with a uniform velocity (no acceleration), its speed-time graph would be a straight line parallel to time axis.
If a body moves with a non-uniform velocity (uniform acceleration), its speed time graph would be a straight line. If velocity increases (positive uniform acceleration) with time, graph would be a straight upward slope. If velocity decreases (negative uniform acceleration) with time, graph would be a straight downward slope.
JAC Class 9 Science Notes Chapter 8 Motion 3
We can find out the magnitude of displacement (distance) and acceleration of a body using the velocity-time graph. The distance travelled by a moving body in a given time will be equal to the area under the speed-time graph.
JAC Class 9 Science Notes Chapter 8 Motion 4

JAC Class 9 Science Notes Chapter 8 Motion

→ Velocity-time graph of an object moving with constant velocity
For the above graph,
Distance travelled = area of rectangle ABCD = AB × BD
s = v(t2 – t1)
Acceleration of body = \(\frac{\text { Change in velocity }}{\text { Time taken }}\)
As in above graph, velocity is constant, so in this case, acceleration will be zero.

→ Derivation of equation of motion using graphs:
Let an object move from A to B in time interval ‘f.
Acceleration of moving object = \(\frac{v_{2}-v_{1}}{t_{2}-t_{1}}\)
a. If initial velocity is u and final velocity is v then
a = \(\frac{v-u}{t-0}\)
at = v – u
v = u + at …(1)
Hence proved
JAC Class 9 Science Notes Chapter 8 Motion 5

b. Distance travelled by object = area under graph
= area of rec. ADCO + area of triangle ABD
= (AO) (OC) + \(\frac{1}{2}\) (AD) (DB)
= ut + \(\frac{1}{2}\) (OC) (BC – CD)
= ut + \(\frac{1}{2}\) t (v – u)
= ut + \(\frac{1}{2}\) t (at)
or
s = ut + \(\frac{1}{2}\)at2 ….(2)

c. Distance travelled by object = area under graph
= area of trapezium AOCB
s = \(\frac{1}{2}\) (sum of ∥ sides) × t
S = \(\frac{1}{2}\) (u + v) × t …(i)
From first equation of motion, (v-u)
t = \(\frac{(v-u)}{a}\)
Equating equations (i) and (ii)
s = \(\frac{(v+u)(v-u)}{2 a}\) ……..(iii)
Hence proved

JAC Class 9 Science Notes Chapter 8 Motion

→ Circular Motion
a. Uniform circular motion is the motion in which an object moves on a circular path with constant speed. For example: moon revolving around the earth.
b. Non-uniform circular motion is the motion in which an object moves on circular path with varying speed. When an object is in circular motion, direction of its velocity keeps on changing.

→ Speed in the case of circular motion
Suppose a body is moving in a circular path of radius r.
Speed (v) = \(\frac{\text { Distance }}{\text { Time }}\)
= \(\frac{\text { Circumference of circle }}{\text { Time }}\)
= \(\frac{2 \pi r}{t}\)
JAC Class 9 Science Notes Chapter 8 Motion 6

JAC Class 9 Science Notes